Contributions to codimension k bifurcations in dynamical systems theory

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Publikacje

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

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

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

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

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

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

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

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

The limit cycles of a class of piecewise differential systems

Autorzy: Benabdallah, Imane; Benterki, Rebiha; Llibre, Jaume
Opublikowane w: Boletin de la Sociedad Matematica Mexicana, Numer 2, 2023, ISSN 2296-4495
Wydawca: Pringer
DOI: 10.1007/s40590-023-00535-x

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

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

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

Autorzy: Louiza Baymout; Rebiha Benterki; Jaume Llibre
Opublikowane w: International Journal of Bifurcation and Chaos, Numer 1, 2023, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127423501663

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

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

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

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

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
Wydawca: Elsevier BV
DOI: 10.1016/j.nonrwa.2020.103281

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
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.chaos.2018.11.022

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
Wydawca: Kluwer Academic Publishers
DOI: 10.1007/s10509-018-3475-y

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
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s021812741850150x

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
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.chaos.2018.12.037

Bounded polynomial vector fields in R 2 and R n

Autorzy: Luis Barreira, Jaume Llibre, Claudia Valls
Opublikowane w: Journal of Differential Equations, Numer 268/8, 2020, Strona(/y) 4416-4422, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2019.10.023

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
Opublikowane w: International Journal of Bifurcation and Chaos, Numer 29/06, 2019, Strona(/y) 1950074, ISSN 0218-1274
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127419500743

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
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218127420500108

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
Wydawca: Taylor & Francis
DOI: 10.1080/10236198.2019.1710141

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
Wydawca: American Institute of Physics
DOI: 10.1063/1.5086018

Limit cycles in 4-star-symmetric planar piecewise linear systems

Autorzy: Claudio A. Buzzi, Joao C. Medrado, Joan Torregrosa
Opublikowane w: Journal of Differential Equations, Numer 268/5, 2020, Strona(/y) 2414-2434, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2019.09.008

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
Wydawca: Elsevier BV
DOI: 10.1016/j.physd.2020.132342

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
Wydawca: Springer
DOI: 10.1007/s40863-020-00163-7

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
DOI: 10.3390/math10203782

On the Bifurcations of a 3D Symmetric Dynamical System

Autorzy: Dana Constantinescu
Opublikowane w: Symmetry, Numer 9, 2023, ISSN 2073-8994
Wydawca: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym15040923

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
Wydawca: Instrumentul Bibliometric National
DOI: 10.24818/18423264/54.1.20.02

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
DOI: 10.3390/math10091603

Limit cycles of a second-order differential equation

Autorzy: Ting Chen; Ting Chen; Jaume Llibre
Opublikowane w: Applied Mathematics Letters, Numer 1, 2019, ISSN 0893-9659
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2018.08.015

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
DOI: 10.12688/openreseurope.13590.1

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
DOI: 10.1051/itmconf/20203402002

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
Wydawca: EDP Sciences
DOI: 10.1051/itmconf/20203403010

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
DOI: 10.1051/itmconf/20203403005

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