Contributions to codimension k bifurcations in dynamical systems theory

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Rezultaty

First press article

The deliverable will contain the whole article and details of the means where it was published.

Second and third press articles

The deliverable will contain the whole articles and details of the means where they were published.

The project website

This deliverable will contain a text with the link to the project website.

Publikacje

A Bendixon–Dulac theorem for some piecewise systems

Autorzy: Leonardo P C da Cruz; Joan Torregrosa
Opublikowane w: Nonlinearity, 2020, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab6812

Analysis of a map-based neuronal model

Autorzy: G. Tigan, R. Efrem
Opublikowane w: Journal of Difference Equations and Applications, 2020, ISSN 1563-5120
Wydawca: Taylor & Francis
DOI: 10.1080/10236198.2020.1780219

On the Jacobi Stability of Two SIR Epidemic Patterns With Demography

Autorzy: Florian Munteanu
Opublikowane w: Symmetry, Numer 9, 2023, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202304.1139.v1

Global dynamics of Hořava–Lifshitz cosmology with non-zero curvature and a wide range of potentials

Autorzy: Jaume Llibre; Fabao Gao; Fabao Gao
Opublikowane w: Eur. Phys. J. C Part. Fields, 2020, ISSN 1434-6044
Wydawca: Springer Verlag
DOI: 10.1140/epjc/s10052-020-7714-3

Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in $\mathbb {R}^{3}$

Autorzy: Jean-Marc Ginoux; Jaume Llibre; Claudia Valls
Opublikowane w: Math. Phys. Anal. Geom., Numer 16, 2021, ISSN 1385-0172
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s11040-020-09372-0

Quadratic systems with an invariant algebraic curve of degree 3 and a Darboux invariantq

Autorzy: Jaume Llibre; Regilene D. S. Oliveira; Camila A. B. Rodrigues
Opublikowane w: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, ISSN 1072-6691
Wydawca: Texas State University - San Marcos
DOI: 10.58997/ejde.2021.69

Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line

Autorzy: Louiza Baymout, Rebiha Benterki, Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2023, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127423501663

Phase portraits of two classes of Liénard equations

Autorzy: Jie Li, Jaume Llibre
Opublikowane w: Boletin de la Sociedad Matematica Mexicana, 2023, ISSN 1405-213X
Wydawca: Birkhäuser Verlag
DOI: 10.1007/s40590-022-00479-8

Phase portraits of an SIR epidemic model

Autorzy: Jaume Llibre, Tayeb Salhi
Opublikowane w: Applicable Analysis. An International Journal, 2024, ISSN 0003-6811
Wydawca: Taylor & Francis
DOI: 10.1080/00036811.2023.2235390

Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem

Autorzy: Jaume Llibre, Pengfei Yuan
Opublikowane w: Qual. Theory Dyn. Syst., 2019, ISSN 1575-5460
Wydawca: Springer Verlag
DOI: 10.1007/s12346-019-00322-y

Limit cycles on piecewise smooth vector fields with coupled rigid centers

Autorzy: Tiago Carvalho, Luiz Fernando Gonçalves, Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., Numer 16 issues/vol./yr., 2021, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127421502242

On the limit cycles of a class of discontinuous piecewise linear differential systems

Autorzy: Jaume Llibre, Lucyjane de A. S. Menezes
Opublikowane w: Discrete & Continuous Dynamical Systems - B, Numer 25/5, 2020, Strona(/y) 1835-1858, ISSN 1553-524X
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2020005

Stability and Bifurcations in a Nutrient–Phytoplankton–Zooplankton Model with Delayed Nutrient Recycling with Gamma Distribution

Autorzy: Mihaela Sterpu; Carmen Rocşoreanu; Raluca Efrem; Sue Ann Campbell
Opublikowane w: Mathematics, Vol 11, Iss 13, p 2911 (2023), Numer 21, 2023, ISSN 2227-7390
Wydawca: MDPI
DOI: 10.3390/math11132911

The Functional Expansion Approach for Solving NPDEs as a Generalization of the Kudryashov and G0/G Methods

Autorzy: C. Ionescu, C. N. Babalic, R. Constantinescu, R. Efrem
Opublikowane w: Symmetry, 2022, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym14040827

Criticality via first order development of the period constants

Autorzy: Iván Sánchez-Sánchez, Joan Torregrosa
Opublikowane w: Nonlinear Analysis, Numer 203, 2021, Strona(/y) 112164, ISSN 0362-546X
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.112164

A survey on algebraic and explicit non-algebraic limit cycles in planar differential systemsAuthor links open overlay panel

Autorzy: Jaume Llibre, Xiang Zhang
Opublikowane w: Expositiones Mathematicae, 2021, ISSN 0723-0869
Wydawca: Elsevier BV
DOI: 10.1016/j.exmath.2020.03.001

Limit cycles of a continuous piecewise differential system formed by aquadratic center and two linear centers

Autorzy: M. E. Anacleto, J. Llibre, C. Valls, C. Vidal
Opublikowane w: Boletín de la Sociedad Matemática Mexicana, 2023, ISSN 2296-4495
Wydawca: Springer
DOI: 10.1007/s40590-023-00501-7

The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems

Autorzy: Meriem Barkat, Rebiha Benterki, Jaume Llibre
Opublikowane w: Nonlinear Dynam., 2023, ISSN 0924-090X
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s11071-022-07891-9

Analyzing the Jacobi Stability of Lü’s Circuit System

Autorzy: Munteanu, Florian
Opublikowane w: Symmetry, Numer 23, 2022, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym14061248

The Impact of the COVID-19 Pandemic on Electricity Consumption and Economic Growth in Romania

Autorzy: Georgeta Soava; Anca Mehedintu; Mihaela Sterpu; Eugenia Grecu
Opublikowane w: Energies, 2021, ISSN 1996-1073
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/en14092394

Polynomial Liénard systems with a nilpotent global center

Autorzy: Isaac A. García; Jaume Llibre
Opublikowane w: Rendiconti del Circolo Matematico di Palermo Series 2, Numer 6, 2023, ISSN 0009-725X
Wydawca: Circolo Matematico di Palermo
DOI: 10.1007/s12215-022-00850-8

Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems

Autorzy: Jie Li; Jaume Llibre
Opublikowane w: Differ. Equ. Dyn. Syst., Numer 1, 2023, ISSN 0971-3514
Wydawca: Research Square Publications
DOI: 10.1007/s12591-023-00666-7

Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line

Autorzy: L. P. C. da Cruz, J. Torregrosa, , Journal of Mathematical Analysis and Applications, 514 (2022) 126256.
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer 514, 2022, ISSN 1096-0813
Wydawca: Elsevier
DOI: 10.1016/j.jmaa.2022.126256

The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line

Autorzy: M. Esteban, J. Llibre, C. Valls
Opublikowane w: International Journal of Bifurcation and Chaos, 2021, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127421502254

A Study of the Jacobi Stability of the Rosenzweig–MacArthur Predator–prey System by the KCC Geometric Theory

Autorzy: Florian Munteanu
Opublikowane w: https://www.preprints.org/manuscript/202208.0129/v1, Numer 19, 2022, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202208.0129.v1

The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane do not produce in general a piecewise differential system globally asymptotically stable

Autorzy: Denis de Carvalho Braga, Fabio Scalco Dias, Jaume Llibre, Luis Fernando Mello
Opublikowane w: São Paulo Journal of Mathematical Sciences, 2023, ISSN 1982-6907
Wydawca: Springer
DOI: 10.1007/s40863-023-00368-6

Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory

Autorzy: Jaume Llibre; Arefeh Nabavi; Marzieh Mousavi
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., Numer 19, 2020, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127420500510

Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree -4

Autorzy: Jaume Llibre, Yuzhou Tian
Opublikowane w: Discrete Contin. Dyn. Syst. Ser. B, Numer 12 issues/vol./yr., 2021, ISSN 1531-3492
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2021228

Applied higher-order elliptic problems with nonstandard growth structure

Autorzy: Maria-Magdalena Boureanu, Alejandro Vélez-Santiago
Opublikowane w: Applied Mathematics Letters, 2022, ISSN 0893-9659
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2021.107603

Melnikov functions of arbitrary order for piecewise smooth differential systems in Rn and applications

Autorzy: X. Chen, T. Li, J. Llibre
Opublikowane w: Journal of Differential Equations, 2022, ISSN 1090-2732
Wydawca: Elsevier
DOI: 10.1016/j.jde.2022.01.019

An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems

Autorzy: Belén García, JaumeLlibre, Antón Lombardero, Jesús Suárez Pérez del Río
Opublikowane w: J. Symbolic Comput., 2019, ISSN 0747-7171
Wydawca: Academic Press
DOI: 10.1016/j.jsc.2018.08.006

Existence and uniqueness for a semilinear sixth-order

Autorzy: C-P. Danet
Opublikowane w: Electronic Journal of Qualitative Theory of Differential Equations, 2022, ISSN 1417-3875
Wydawca: Szegedi Tudomanyegyetern/University of Szeged
DOI: 10.14232/ejqtde.2022.1.53

A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator

Autorzy: Jean-Marc Ginoux, Jaume Llibre
Opublikowane w: J. Geom. Phys., Numer 12 vols./yr., 2023, ISSN 0393-0440
Wydawca: Elsevier BV
DOI: 10.1016/j.geomphys.2022.104705

Phase Portraits of a Class of Cubic Systems with an Ellipse and a Straight Line as Invariant Algebraic Curves

Autorzy: Ali Bakhshalizadeh, Jaume Llibre
Opublikowane w: Differential Equations and Dynamical Systems, 2024, ISSN 0971-3514
Wydawca: Research Square Publications
DOI: 10.1007/s12591-022-00597-9

Phase Portraits of the Leslie-Gower System

Autorzy: Llibre, Jaume||; Valls, Clàudia||
Opublikowane w: Acta Mathematica Scientia, Numer 9, 2022, ISSN 0252-9602
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10473-022-0502-4

Analysis of a Class of Lotka–Volterra Systems

Autorzy: G Moza, D Constantinescu, R Efrem, L Bucur, R Constantinescu
Opublikowane w: Qualitative theory of dynamical systems, Numer 21, 2022, ISSN 1662-3592
Wydawca: Springer
DOI: 10.1007/s12346-022-00563-4

Piecewise linear differential systems with an algebraic line of separation

Autorzy: A. Gasull, J. Torregrosa, X. Zhang
Opublikowane w: Electronic Journal of Differential Equations, Numer 19, 2020, Strona(/y) 1-14, ISSN 1072-6691
Wydawca: Texas State University - San Marcos

Dynamics of a Generalized Rayleigh System

Autorzy: Maíra Duran Baldissera, Jaume Llibre, Regilene Oliveira
Opublikowane w: Differential Equations and Dynamical Systems,, 2024, ISSN 0971-3514
Wydawca: Research Square Publications
DOI: 10.1007/s12591-022-00604-z

Phase Portraits of Families VII and VIII of the Quadratic Systems

Autorzy: Laurent Cairó; Jaume Llibre
Opublikowane w: Axioms, Numer 3, 2023, ISSN 2075-1680
Wydawca: MDPI
DOI: 10.3390/axioms12080756

Generalized analytic integrability of a class of polynomial differential systems in C2

Autorzy: Jaume Llibre, Yuzhou Tian
Opublikowane w: Acta Appl. Math., Numer 6 vols./yr, 2021, ISSN 0167-8019
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10440-021-00407-4

Bifurcation diagrams and global phase portraits for some hamiltonian systems with rational potentials

Autorzy: Ting Chen, Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2018, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127418501687

Admissible Perturbations of a Generalized Langford System

Autorzy: Eduard Musafirov; Alexander Grin; Andrei Pranevich
Opublikowane w: International Journal of Bifurcation and Chaos, 2022, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127422500389

Periodic solutions of a class of Duffing differential equations

Autorzy: Rebiha Benterki, Jaume Llibre
Opublikowane w: Journal of Nonlinear Modeling and Analysis, 2019, ISSN 2562-2854
Wydawca: Zhejiang Normal University
DOI: 10.12150/jnma.2019.167

Next in Surgical Data Science: Autonomous Non-Technical Skill Assessment in Minimally Invasive Surgery Training

Autorzy: Renáta Nagyné Elek; Tamás Haidegger
Opublikowane w: Journal of Clinical Medicine, Numer 6, 2022, ISSN 2077-0383
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/jcm11247533

About the Jacobi Stability of a Generalized Hopf–Langford System through the Kosambi–Cartan–Chern Geometric Theory

Autorzy: Florian Munteanu; Alexander Grin; Eduard Musafirov; Andrei Pranevich; Cătălin Şterbeţi
Opublikowane w: Symmetry, Numer 10, 2023, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym15030598

LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER

Autorzy: Li, Jie; Llibre, Jaume||
Opublikowane w: J. Appl. Anal. Comput., Numer 11, 2022, ISSN 2156-907X
Wydawca: Wilmington Sci. Publ. Shanghai Norm. Univ.
DOI: 10.11948/20220031

An analysis of two degenerate double-Hopf bifurcations

Autorzy: Gheorghe Moza, Mihaela Sterpu , Carmen Rocşoreanu
Opublikowane w: Electronic Research Archive, Numer 30, 2022, ISSN 2688-1594
Wydawca: AIMS Press
DOI: 10.3934/era.2022020

Entropy and periods for continuous graph maps, Computational and Applied Mathematics

Autorzy: J. Llibre, V.F. Sirvent
Opublikowane w: Computational and Applied Mathematics, 2021, ISSN 1807-0302
Wydawca: Springer
DOI: 10.1007/s40314-021-01677-2

On the birth and death of algebraic limit cycles in quadratic differential systems

Autorzy: JAUME LLIBRE, REGILENE OLIVEIRA, YULIN ZHAO
Opublikowane w: European Journal of Applied Mathematics, Numer 32/2, 2021, Strona(/y) 317-336, ISSN 0956-7925
Wydawca: Cambridge University Press
DOI: 10.1017/s0956792520000145

Dynamics of a four-dimensional economic model

Autorzy: G Moza, O Brandibur, A Găină
Opublikowane w: Mathematics, Numer 11, 2023, ISSN 2227-7390
Wydawca: MDPI
DOI: 10.3390/math11040797

Orbitally symmetric systems with applications to planar centers

Autorzy: Bastos, Jefferson L. R.||; Buzzi, Claudio||; Torregrosa, Joan||
Opublikowane w: Commun. Pure Appl. Anal., Numer 16, 2021, ISSN 1534-0392
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021107

On the limit cycle of a Belousov–Zhabotinsky differential systems

Autorzy: Jaume Llibre, Regilene Oliveira
Opublikowane w: Mathematical methods in the applied sciences, 2022, ISSN 1099-1476
Wydawca: Wiley
DOI: 10.1002/mma.7798

Crossing limit cycles of planar piecewise linear Hamiltonian systems without equilibrium points

Autorzy: Rebiha Benterki, Jaume Llibre
Opublikowane w: Mathematics, 2020, ISSN 2227-7390
Wydawca: MDPI
DOI: 10.3390/math8050755

Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory

Autorzy: Zhifei Guo; Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., Numer 7, 2022, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127422501875

The limit cycles of a class of piecewise differential systems

Autorzy: Imane Benabdallah, Rebiha Benterki, Jaume Llibre
Opublikowane w: Boletín de la Sociedad Matemática Mexicana, Numer 29, 2023, ISSN 1405-213X
Wydawca: Birkhäuser Verlag
DOI: 10.1007/s40590-023-00535-x

Analysis of a nonlinear financial model

Autorzy: G Moza, E Grecu, L Tirtirau
Opublikowane w: Carpathian Journal of Mathematics, Numer 38, 2022, ISSN 1843-4401
Wydawca: SINUS Association
DOI: 10.37193/cjm.2022.02.17

Analysis of a class of Kolmogorov systems

Autorzy: G. Tigan, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea
Opublikowane w: Nonlinear Analysis: Real World Applications, Numer 57, 2021, ISSN 1878-5719
Wydawca: Elsevier
DOI: 10.1016/j.nonrwa.2020.103202

New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

Autorzy: Jaume Llibre, Marzieh Mousavi, Arefeh Nabavi
Opublikowane w: J. Dyn. Control Syst., 2019, ISSN 1079-2724
Wydawca: Plenum Publishers
DOI: 10.1007/s10883-019-09432-x

Sensor-Based Automated Detection of Electrosurgical Cautery States

Autorzy: Josh Ehrlich, Amoon Jamzad, Mark Asselin, Jessica Robin Rodgers, Martin Kaufmann,Tamas Haidegger, John Rudan, Parvin Mousavi, Gabor Fichtinger and Tamas Ungi
Opublikowane w: Sensors, 2022, ISSN 1424-8220
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/s22155808

Global phase portraits of the key pitchfork bifurcation

Autorzy: Llibre Jaume; Li Shimin
Opublikowane w: SCIENTIA SINICA Mathematica, Numer 1, 2019, ISSN 2095-9427
Wydawca: SciEngine
DOI: 10.1360/scm-2018-0266

Centers and limit cycles of vector fields defined on invariant spheres

Autorzy: C. A. Buzzi, A. L. Rodero, J. Torregrosa
Opublikowane w: Journal of Nonlinear Science, 2021, ISSN 0938-8974
Wydawca: Springer Verlag
DOI: 10.1007/s00332-021-09751-z

Integrability by separation of variables

Autorzy: Jaume Llibre, Rafael Orlando Ramirez
Opublikowane w: Phys. D, Numer 14, 2020, ISSN 0167-2789
Wydawca: Elsevier BV
DOI: 10.1016/j.physd.2020.132523

New symmetric periodic solutions for the Maxwell-Bloch differential system

Autorzy: Murilo R. Cândido, Jaume Llibre, Clàudia Valls
Opublikowane w: Mathematical Physics, Analysis and Geometry, 2019, ISSN 1385-0172
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s11040-019-9313-9

The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3

Autorzy: Érika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar, Claudia Valls
Opublikowane w: Commun. Nonlinear Sci. Numer. Simul., Numer 12 vols./yr., 2021, ISSN 1007-5704
Wydawca: Elsevier BV
DOI: 10.1016/j.cnsns.2020.105621

On the indices of singular points for planar bounded piecewise smooth polynomial vector field

Autorzy: Shimin Li, Jaume Llibre, Xianbo Sun
Opublikowane w: Nonlinear Anal. Hybrid Syst., 2023, ISSN 1751-570X
Wydawca: Elsevier BV
DOI: 10.1016/j.nahs.2023.101350

Limit cycles from a monodromic infinity in planar piecewise linear systems

Autorzy: E. Freire, E. Ponce, J. Torregrosa, F. Torres
Opublikowane w: Journal of Mathematical Analysis and Applications, 2021, ISSN 1096-0813
Wydawca: ScienceDirect
DOI: 10.1016/j.jmaa.2020.124818

Periods of holomorphic maps on compact Riemann surfaces and product of spheres

Autorzy: Llibre, Jaume; Sirvent, Víctor F.
Opublikowane w: Journal of Difference Equations and Applications, 2020, ISSN 1023-6198
Wydawca: Taylor & Francis
DOI: 10.1080/10236198.2019.1699915

Invariant algebraic curves of generalized Liénard polynomial differential systems

Autorzy: Jaume Giné, Jaume Llibre
Opublikowane w: Mathematics, 2022, ISSN 2227-7390
Wydawca: MDPI
DOI: 10.3390/math10020209

A Comparative Study of Three Mathematical Models for the Interaction between the Human Immune System and a Virus

Autorzy: Florian Munteanu
Opublikowane w: Symmetry, Numer 21, 2022, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202207.0291.v1

Global dynamics of a Lotka–Volterra system in ℝ3

Autorzy: Llibre, J.; Paulina, Martínez; Valls, C.
Opublikowane w: The Journal of Nonlinear Mathematical Physics, Numer 8, 2020, ISSN 1402-9251
Wydawca: Luleaa University of Technology
DOI: 10.1080/14029251.2020.1757240

Inflation, Inflation Uncertainty and Fuel Prices in the EU

Autorzy: ALBULESCU CLAUDIU TIBERIU; STANCU STELIAN; GRECU EUGENIA; TRASCA DANIELA LIVIA
Opublikowane w: Economic Computation and Economic Cybernetics Studies and Research, Numer 2, 2022, ISSN 0424-267X
Wydawca: Bucharest University of Economic Studies
DOI: 10.24818/18423264/56.2.22.03

Dynamics of a family of Lotka–Volterra systems in R 3

Autorzy: Jaume Llibre, Y. Paulina Martínez
Opublikowane w: Nonlinear Analysis, Numer 199, 2020, Strona(/y) 111915, ISSN 0362-546X
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.111915

Phase portraits of uniform isochronous centers with homogeneous nonlinearities

Autorzy: Jaume Llibre, Claudia Valls
Opublikowane w: J. Dyn. Control Syst., Numer 4 issues/vol./yr., 2021, ISSN 1079-2724
Wydawca: Plenum Publishers
DOI: 10.1007/s10883-021-09529-2

Bifurcation diagrams in a class of Kolmogorov systems

Autorzy: G. Tigan, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea
Opublikowane w: Nonlinear Analysis: Real World Applications, Numer 56, 2020, ISSN 1878-5719
Wydawca: Elsevier
DOI: 10.1016/j.nonrwa.2020.103154

Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field

Autorzy: Ting Chen; Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., Numer 10, 2022, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127422501164

Lower bounds for the number of limit cycles in a generalised Rayleigh–Liénard oscillator

Autorzy: Rodrigo D Euzébio; Jaume Llibre; Durval J Tonon
Opublikowane w: Nonlinearity, Numer 10, 2022, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac7691

Qualitative study of a model with Rastall gravity

Autorzy: Jaume Llibre, Chara Pantazi
Opublikowane w: Classical and Quantum Gravity, 2020, ISSN 1361-6382
Wydawca: IOP
DOI: 10.1088/1361-6382/abc188

The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line

Autorzy: M. Esteban; J. Llibre; C. Valls
Opublikowane w: Chaos, Numer 15, 2021, ISSN 1054-1500
Wydawca: American Institute of Physics
DOI: 10.1063/5.0023055

The center problem for the class of Λ-Ω differential systems

Autorzy: Jaume Llibre, Rafael Ramírez, Valentín Ramírez
Opublikowane w: Rendiconti del Circolo Matematico di Palermo, 2021, ISSN 0009-725X
Wydawca: Circolo Matematico di Palermo
DOI: 10.1007/s12215-020-00568-5

Simultaneous bifurcation of limit cycles and critical periods

Autorzy: R. D. S. Oliveira, I. Sánchez-Sánchez, J. Torregrosa
Opublikowane w: Qualitative Theory of Dynamical Systems, 2022, ISSN 1575-5460
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Hopf bifurcation in 3-dimensional polynomial vector fields

Autorzy: I. Sánchez-Sánchez, J. Torregrosa
Opublikowane w: Communications in Nonlinear Science and Numerical Simulation, 2022, ISSN 1007-5704
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Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential

Autorzy: J. Llibre, C. Valls
Opublikowane w: Astrophysics and Space Science, 2019, ISSN 0004-640X
Wydawca: Kluwer Academic Publishers
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First-order perturbation for multi-parameter center families

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Opublikowane w: Journal of Differential Equations, 2022, ISSN 0022-0396
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A Study of the Jacobi Stability of the Rosenzweig–MacArthur Predator–Prey System through the KCCGeometric Theory

Autorzy: F. Munteanu
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Degenerate Chenciner Bifurcation Revisited

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New lower bounds of the number of critical periods in reversible centers

Autorzy: I. Sánchez-Sánchez, J. Torregrosa
Opublikowane w: Journal of Differential Equations, 2021, ISSN 0022-0396
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Limit cycles of discontinuous piecewise differential systems formed by linear centers in R 2 and separated by two circles

Autorzy: Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal
Opublikowane w: Nonlinear Analysis: Real World Applications, Numer 60, 2021, Strona(/y) 103281, ISSN 1468-1218
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Zero-Hopf periodic orbits for a Rössler differential system

Autorzy: Jaume Llibre and Ammar Makhlouf
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Center problem for Λ-Ω differential systems

Autorzy: Jaume Llibre, Rafael O. Ramírez, Valentín Ramírez
Opublikowane w: Journal of Differential Equations, 2019, ISSN 0022-0396
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Algebraic and topological classification of homogeneous quartic vector fields in the plane

Autorzy: J. Llibre, Y. P. Martínez, C. Vidal
Opublikowane w: Annali di Matematica Pura ed Applicata, 2022, ISSN 0373-3114
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Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever

Autorzy: Jaume Llibre, Regilene D.S. Oliveira, Claudia Valls
Opublikowane w: Chaos, Solitons & Fractals, Numer 118, 2019, Strona(/y) 181-186, ISSN 0960-0779
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Global dynamics of the Buckingham’s two-body problem

Autorzy: Jaume Llibre, Claudia Valls, Claudio Vidal
Opublikowane w: Astrophysics and Space Science, Numer 363/12, 2018, Strona(/y) Article 255, ISSN 0004-640X
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Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model

Autorzy: Murilo R. Cândido, Jaume Llibre, Claudia Valls
Opublikowane w: International Journal of Bifurcation and Chaos, Numer 28/12, 2018, Strona(/y) 1850150, ISSN 0218-1274
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Phase portraits of continuous piecewise linear Liénard differential systems with three zones

Autorzy: Shimin Li, Jaume Llibre
Opublikowane w: Chaos, Solitons & Fractals, Numer 120, 2019, Strona(/y) 149-157, ISSN 0960-0779
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Bounded polynomial vector fields in R 2 and R n

Autorzy: Luis Barreira, Jaume Llibre, Claudia Valls
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Approximations of the Heteroclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two. Application to a Liénard Equation

Autorzy: Carmen Rocşoreanu, Mihaela Sterpu
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Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities

Autorzy: J. D. García-Saldaña, Jaume Llibre, Claudia Valls
Opublikowane w: International Journal of Bifurcation and Chaos, Numer 30/01, 2020, Strona(/y) 2050010, ISSN 0218-1274
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Topological entropy of continuous self-maps on closed surfaces

Autorzy: Juan Luis García Guirao, Jaume Llibre, Wei Gao
Opublikowane w: Journal of Difference Equations and Applications, Numer 26/2, 2020, Strona(/y) 203-208, ISSN 1023-6198
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Limit cycles created by piecewise linear centers

Autorzy: Jaume Llibre, Xiang Zhang
Opublikowane w: Chaos: An Interdisciplinary Journal of Nonlinear Science, Numer 29/5, 2019, Strona(/y) 053116, ISSN 1054-1500
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Limit cycles in 4-star-symmetric planar piecewise linear systems

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Bifurcations from families of periodic solutions in piecewise differential systems

Autorzy: Jaume Llibre, Douglas D. Novaes, Camila A.B. Rodrigues
Opublikowane w: Physica D: Nonlinear Phenomena, Numer 404, 2020, Strona(/y) 132342, ISSN 0167-2789
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Limit cycles for two classes of control piecewise linear differential systems

Autorzy: Jaume Llibre, Regilene D. Oliveira, Camila Ap. B. Rodrigues
Opublikowane w: São Paulo Journal of Mathematical Sciences, Numer 36, 2020, Strona(/y) 1-17, ISSN 1982-6907
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Stability and bifurcation analysis of a four-dimensional economic model

Autorzy: G Moza, C Rocşoreanu, M Sterpu, R Oliveira
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Wydawca: SINUS Association
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A survey on the Kovalevskaya exponents and their applications

Autorzy: Jaume Llibre, Yuzhou Tian
Opublikowane w: Journal of mathematical analysis and applications, 2021, ISSN 0022-247X
Wydawca: Academic Press
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Another Case of Degenerated Discrete Chenciner Dynamic System and Economics

Autorzy: Sorin Lugojan; Loredana Ciurdariu; Eugenia Grecu
Opublikowane w: Mathematics, Numer 16, 2022, ISSN 2227-7390
Wydawca: MDPI
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Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems

Autorzy: Ting Chen; Lihong Huang; Jaume Llibre
Opublikowane w: Internat. J. Bifur. Chaos Appl. Sci. Engrg., Numer 5, 2023, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
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Analysis of Degenerate Chenciner Bifurcation

Autorzy: G. Tigan, S. Lugojan, and L. Ciurdariu
Opublikowane w: International Journal of Bifurcation and Chaos, Numer 30, 2020, ISSN 1793-6551
Wydawca: World Scientific
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Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields

Autorzy: Ting Chen, Shimin Li, Jaume Llibre
Opublikowane w: J. Differential Equations, 2020, ISSN 0022-0396
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Zero-Hopf bifurcation in the Chua's circuit

Autorzy: J-M. Ginoux, J. Llibre
Opublikowane w: Journal of Mathematical Physics, 2023, ISSN 0022-2488
Wydawca: American Institute of Physics
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The Limit Cycles of Discontinuous Piecewise Linear Differential Systems Formed by Centers and Separated by Irreducible Cubic Curves II

Autorzy: Rebiha Benterki; Loubna Damene; Jaume Llibre
Opublikowane w: Differ. Equ. Dyn. Syst., Numer 16, 2021, ISSN 0971-3514
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On the Bifurcations of a 3D Symmetric Dynamical System

Autorzy: Dana Constantinescu
Opublikowane w: Symmetry, Numer 9, 2023, ISSN 2073-8994
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Invariants of polynomial vector fields

Autorzy: J. Llibre, C. Valls
Opublikowane w: Journal of Differential Equations, 2023, ISSN 0022-0396
Wydawca: Academic Press
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Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line

Autorzy: Jaume Llibre
Opublikowane w: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, ISSN 1024-7696
Wydawca: Publishing and Printing State Enterprise Stiinta

Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary

Autorzy: Tao Li; Jaume Llibre
Opublikowane w: Physica D. Nonlinear phenomena, Numer 15, 2021, ISSN 0167-2789
Wydawca: Elsevier BV
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Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones

Autorzy: Denis de Carvalho Braga, Jaume Llibre, Luis Fernando Mello
Opublikowane w: Dynamical Systems. An International Journal, Numer 4 issues/vol./yr., 2022, ISSN 1468-9367
Wydawca: Taylor & Francis
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On topological entropy, Lefschetz numbers and Lefschetz zeta functions

Autorzy: Jaume Llibre, Victor F. Sirvent
Opublikowane w: General Topology and Appl., Numer 4 issues/vol./yr., 2019, ISSN 0016-660X
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Output, Uncertainty and Fuel Prices in the EU Countries

Autorzy: Pârtachi Ion Profir; Grecu Eugenia; Albulescu Claudiu Tiberiu; Stancu Stelian; Trasca Daniela Livia
Opublikowane w: Economic Computation and Economic Cybernetics Studies and Research, Numer 4, 2020, ISSN 0424-267X
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Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve

Autorzy: Jeidy J. Jimenez, Jaume Llibre, Joao Carlos Medrado
Opublikowane w: Electron. J. Qual. Theory Differ. Equ., 2020, ISSN 1417-3875
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Z2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers

Autorzy: Fabio Scalco Dias, Jaume Llibre, Clàudia Valls
Opublikowane w: Electron. J. Differential Equations, 2019, ISSN 1072-6691
Wydawca: Texas State University - San Marcos

The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$

Autorzy: Jaume Llibre, Claudia Valls
Opublikowane w: Mathematical Physics, Analysis and Geometry, Numer 26, 2023, ISSN 1385-0172
Wydawca: Kluwer Academic Publishers
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Global centers of a family of cubic systems

Autorzy: Appis, Raul Felipe; Llibre, Jaume
Opublikowane w: Aequationes mathematicae, Numer 1, 2024, ISSN 0001-9054
Wydawca: Birkhauser Verlag
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Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant

Autorzy: Fabao Gao; Jaume Llibre
Opublikowane w: Universe, Numer 14, 2021, ISSN 2218-1997
Wydawca: MDPI
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Limit cycles of piecewise polynomial differential systems with the discontinuity line xy = 0

Autorzy: Tao Li, Jaume Llibre
Opublikowane w: Commun. Pure Appl. Anal., Numer 12 issues/vol./yr., 2021, ISSN 1534-0392
Wydawca: American Institute of Mathematical Sciences
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Periodic Orbits of Quantised Restricted Three-Body Problem

Autorzy: Elbaz I. Abouelmagd, Juan Luis Garcia Guirao, Jaume Llibre
Opublikowane w: Universe, 2023, ISSN 2218-1997
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Periods of Morse–Smale diffeomorphisms on S^n, S^m×S^n, CP^n and HP^n

Autorzy: C. Cufi-Cabre, J. Llibre
Opublikowane w: Journal of Fixed Point Theory and Applications, 2022, ISSN 1661-7746
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The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems

Autorzy: Rebiha Benterki, Jaume Llibre
Opublikowane w: Nonlinear Dynam., Numer 16 issues/4 vols./yr., 2020, ISSN 0924-090X
Wydawca: Kluwer Academic Publishers
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Chenciner Bifurcation Presenting a Further Degree of Degeneration

Autorzy: Sorin Lugojan; Loredana Ciurdariu; Eugenia Grecu
Opublikowane w: Mathematics, Numer 26, 2022, ISSN 2227-7390
Wydawca: MDPI
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Nilpotent Bicenters in Continuous Piecewise Z2-Equivariant Cubic Polynomial Hamiltonian Vector Fields: Cusp–Cusp Type

Autorzy: Ting Chen and Jaume Llibre
Opublikowane w: International Journal of Bifurcation and Chaos, 2023, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
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The Classical and Improved Euler-Jacobi Formula and Polynomial Vector Fields in Rn

Autorzy: Jaume Llibre, Claudia Valls
Opublikowane w: Journal of dynamics and differential equations, 2022, ISSN 1040-7294
Wydawca: Plenum Publishers
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Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces

Autorzy: Jaume Llibre, Yuzhou Tian
Opublikowane w: Zeitschrift fur Angewandte Mathematik und Physik, 2021, ISSN 0044-2275
Wydawca: Birkhauser Verlag
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Criteria on the existence of limit cycles in planar polynomial differential systems

Autorzy: Jaume Giné; Maite Grau; Jaume Llibre
Opublikowane w: Expositiones Mathematicae, Numer 7, 2022, ISSN 0723-0869
Wydawca: Elsevier BV
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Crossing limit cycles for a class of piecewise linear differential centers separated by a conic

Autorzy: JOHANA JIMENEZ, JAUME LLIBRE, JOAO C. MEDRADO
Opublikowane w: Electronic Journal of Differential Equations, 2020, ISSN 1072-6691
Wydawca: Texas State University - San Marcos

Analysis of interactions between human immune system and a pathogenic virus

Autorzy: G Moza, LV Vesa
Opublikowane w: Carpathian Journal of Mathematics, Numer 39, 2023, ISSN 1843-4401
Wydawca: SINUS Association
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Periodic structure of transversal maps on sum-free products of spheres

Autorzy: Jaume Llibre, Víctor F. Sirvent
Opublikowane w: J. Difference Equ. Appl., 2019, ISSN 1023-6198
Wydawca: Taylor & Francis
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Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system

Autorzy: Constantinescu, Dana; Tigan, Gheorghe; Zhang, Xiang
Opublikowane w: Open Research Europe, Numer 41, 2021, ISSN 2732-5121
Wydawca: European Commission
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Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems

Autorzy: Zhifei Guo, Jaume Llibre
Opublikowane w: Qual. Theory Dyn. Syst., 2022, ISSN 1575-5460
Wydawca: Springer Verlag
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The limit cycles of the Higgins-Selkov systems

Autorzy: Hebai Chen, Jaume Llibre, Yilei Tang
Opublikowane w: J. Nonlinear Sci., Numer 6 issues/vol./yr., 2021, ISSN 0938-8974
Wydawca: Springer Verlag
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Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations

Autorzy: J. Llibre, C. Valls
Opublikowane w: Boletín de la Sociedad Matemática Mexicana, 2022, ISSN 2296-4495
Wydawca: Birkhauser
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On the zero-Hopf bifurcation of the Lotka-Volterra systems in R3

Autorzy: Maoan Han, Jaume Llibre, Yun Tian
Opublikowane w: Mathematics, 2020, ISSN 2227-7390
Wydawca: MDPI
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The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems

Autorzy: J. Llibre, X. Zhang
Opublikowane w: Proceedings of the American Mathematical Society, 2021, ISSN 1088-6826
Wydawca: American Mathematical Society
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The study of the singular bifurcation of a 3D dynamical system of interest in ecology

Autorzy: D. Constantinescu
Opublikowane w: Numer 49, 2022, ISSN 2271-2097
Wydawca: ITM Web of Conferences
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The behaviour of an epidemiological model, , 01002 (2022).

Autorzy: L. Bucur
Opublikowane w: 2022, ISSN 2271-2097
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A mathematical model of infectious disease transmission

Autorzy: Florea Aurelia; Lăzureanu Cristian
Opublikowane w: ITM Web of Conferences, Numer 62, 2020, ISSN 2271-2097
Wydawca: EDP Sciences
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A study of a three-dimensional competitive Lotka–Volterra system

Autorzy: Munteanu Florian
Opublikowane w: ITM Web of Conferences, Vol 34, p 03010 (2020), Numer 55, 2020, ISSN 2271-2097
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The study of a fourth-order differential equation: existence, uniqueness and a dynamical system approach

Autorzy: Danet Cristian Paul
Opublikowane w: ITM Web of Conferences, Numer 34, 2020, ISSN 2271-2097
Wydawca: EDP Sciences
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3D Quadratic ODE systems with an infinite number of limit cycles

Autorzy: E. Musafirov, A. Grin, A. Pranevich, F. Munteanu, C. Sterbeti
Opublikowane w: ITM Web of Conferences, 2022, ISSN 2271-2097
Wydawca: edpsciences
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A Spray Theory for the Geometric Method in Hydrodynamics

Autorzy: Cismas, Emanuel Ciprian
Opublikowane w: Numer 33, 2019
Wydawca: arxiv
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