Contributions to codimension k bifurcations in dynamical systems theory

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Publications

On the Jacobi Stability of Two SIR Epidemic Patterns With Demography

Author(s): Florian Munteanu
Published in: Symmetry, Issue 9, 2023, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202304.1139.v1

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

Author(s): Jaume Llibre, Lucyjane de A. S. Menezes
Published in: Discrete & Continuous Dynamical Systems - B, Issue 25/5, 2020, Page(s) 1835-1858, ISSN 1553-524X
Publisher: 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

Author(s): Mihaela Sterpu; Carmen Rocşoreanu; Raluca Efrem; Sue Ann Campbell
Published in: Mathematics, Vol 11, Iss 13, p 2911 (2023), Issue 21, 2023, ISSN 2227-7390
Publisher: MDPI
DOI: 10.3390/math11132911

Criticality via first order development of the period constants

Author(s): Iván Sánchez-Sánchez, Joan Torregrosa
Published in: Nonlinear Analysis, Issue 203, 2021, Page(s) 112164, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.112164

Analyzing the Jacobi Stability of Lü’s Circuit System

Author(s): Munteanu, Florian
Published in: Symmetry, Issue 23, 2022, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym14061248

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

Author(s): L. P. C. da Cruz, J. Torregrosa, , Journal of Mathematical Analysis and Applications, 514 (2022) 126256.
Published in: Journal of Mathematical Analysis and Applications, Issue 514, 2022, ISSN 1096-0813
Publisher: 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

Author(s): Florian Munteanu
Published in: https://www.preprints.org/manuscript/202208.0129/v1, Issue 19, 2022, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202208.0129.v1

Piecewise linear differential systems with an algebraic line of separation

Author(s): A. Gasull, J. Torregrosa, X. Zhang
Published in: Electronic Journal of Differential Equations, Issue 19, 2020, Page(s) 1-14, ISSN 1072-6691
Publisher: Texas State University - San Marcos

Phase Portraits of Families VII and VIII of the Quadratic Systems

Author(s): Laurent Cairó; Jaume Llibre
Published in: Axioms, Issue 3, 2023, ISSN 2075-1680
Publisher: MDPI
DOI: 10.3390/axioms12080756

The limit cycles of a class of piecewise differential systems

Author(s): Benabdallah, Imane; Benterki, Rebiha; Llibre, Jaume
Published in: Boletin de la Sociedad Matematica Mexicana, Issue 2, 2023, ISSN 2296-4495
Publisher: 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

Author(s): Florian Munteanu; Alexander Grin; Eduard Musafirov; Andrei Pranevich; Cătălin Şterbeţi
Published in: Symmetry, Issue 10, 2023, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym15030598

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

Author(s): JAUME LLIBRE, REGILENE OLIVEIRA, YULIN ZHAO
Published in: European Journal of Applied Mathematics, Issue 32/2, 2021, Page(s) 317-336, ISSN 0956-7925
Publisher: Cambridge University Press
DOI: 10.1017/s0956792520000145

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

Author(s): Louiza Baymout; Rebiha Benterki; Jaume Llibre
Published in: International Journal of Bifurcation and Chaos, Issue 1, 2023, ISSN 0218-1274
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218127423501663

Analysis of a class of Kolmogorov systems

Author(s): G. Tigan, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea
Published in: Nonlinear Analysis: Real World Applications, Issue 57, 2021, ISSN 1878-5719
Publisher: Elsevier
DOI: 10.1016/j.nonrwa.2020.103202

Global phase portraits of the key pitchfork bifurcation

Author(s): Llibre Jaume; Li Shimin
Published in: SCIENTIA SINICA Mathematica, Issue 1, 2019, ISSN 2095-9427
Publisher: 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

Author(s): Florian Munteanu
Published in: Symmetry, Issue 21, 2022, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.20944/preprints202207.0291.v1

Global dynamics of a Lotka–Volterra system in ℝ3

Author(s): Llibre, J.; Paulina, Martínez; Valls, C.
Published in: The Journal of Nonlinear Mathematical Physics, Issue 8, 2020, ISSN 1402-9251
Publisher: Luleaa University of Technology
DOI: 10.1080/14029251.2020.1757240

Inflation, Inflation Uncertainty and Fuel Prices in the EU

Author(s): ALBULESCU CLAUDIU TIBERIU; STANCU STELIAN; GRECU EUGENIA; TRASCA DANIELA LIVIA
Published in: Economic Computation and Economic Cybernetics Studies and Research, Issue 2, 2022, ISSN 0424-267X
Publisher: Bucharest University of Economic Studies
DOI: 10.24818/18423264/56.2.22.03

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

Author(s): Jaume Llibre, Y. Paulina Martínez
Published in: Nonlinear Analysis, Issue 199, 2020, Page(s) 111915, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.111915

Bifurcation diagrams in a class of Kolmogorov systems

Author(s): G. Tigan, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea
Published in: Nonlinear Analysis: Real World Applications, Issue 56, 2020, ISSN 1878-5719
Publisher: 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

Author(s): Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal
Published in: Nonlinear Analysis: Real World Applications, Issue 60, 2021, Page(s) 103281, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2020.103281

Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever

Author(s): Jaume Llibre, Regilene D.S. Oliveira, Claudia Valls
Published in: Chaos, Solitons & Fractals, Issue 118, 2019, Page(s) 181-186, ISSN 0960-0779
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.chaos.2018.11.022

Global dynamics of the Buckingham’s two-body problem

Author(s): Jaume Llibre, Claudia Valls, Claudio Vidal
Published in: Astrophysics and Space Science, Issue 363/12, 2018, Page(s) Article 255, ISSN 0004-640X
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10509-018-3475-y

Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model

Author(s): Murilo R. Cândido, Jaume Llibre, Claudia Valls
Published in: International Journal of Bifurcation and Chaos, Issue 28/12, 2018, Page(s) 1850150, ISSN 0218-1274
Publisher: World Scientific Publishing Co
DOI: 10.1142/s021812741850150x

Phase portraits of continuous piecewise linear Liénard differential systems with three zones

Author(s): Shimin Li, Jaume Llibre
Published in: Chaos, Solitons & Fractals, Issue 120, 2019, Page(s) 149-157, ISSN 0960-0779
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.chaos.2018.12.037

Bounded polynomial vector fields in R 2 and R n

Author(s): Luis Barreira, Jaume Llibre, Claudia Valls
Published in: Journal of Differential Equations, Issue 268/8, 2020, Page(s) 4416-4422, ISSN 0022-0396
Publisher: 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

Author(s): Carmen Rocşoreanu, Mihaela Sterpu
Published in: International Journal of Bifurcation and Chaos, Issue 29/06, 2019, Page(s) 1950074, ISSN 0218-1274
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218127419500743

Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities

Author(s): J. D. García-Saldaña, Jaume Llibre, Claudia Valls
Published in: International Journal of Bifurcation and Chaos, Issue 30/01, 2020, Page(s) 2050010, ISSN 0218-1274
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218127420500108

Topological entropy of continuous self-maps on closed surfaces

Author(s): Juan Luis García Guirao, Jaume Llibre, Wei Gao
Published in: Journal of Difference Equations and Applications, Issue 26/2, 2020, Page(s) 203-208, ISSN 1023-6198
Publisher: Taylor & Francis
DOI: 10.1080/10236198.2019.1710141

Limit cycles created by piecewise linear centers

Author(s): Jaume Llibre, Xiang Zhang
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science, Issue 29/5, 2019, Page(s) 053116, ISSN 1054-1500
Publisher: American Institute of Physics
DOI: 10.1063/1.5086018

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

Author(s): Claudio A. Buzzi, Joao C. Medrado, Joan Torregrosa
Published in: Journal of Differential Equations, Issue 268/5, 2020, Page(s) 2414-2434, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2019.09.008

Bifurcations from families of periodic solutions in piecewise differential systems

Author(s): Jaume Llibre, Douglas D. Novaes, Camila A.B. Rodrigues
Published in: Physica D: Nonlinear Phenomena, Issue 404, 2020, Page(s) 132342, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2020.132342

Limit cycles for two classes of control piecewise linear differential systems

Author(s): Jaume Llibre, Regilene D. Oliveira, Camila Ap. B. Rodrigues
Published in: São Paulo Journal of Mathematical Sciences, Issue 36, 2020, Page(s) 1-17, ISSN 1982-6907
Publisher: Springer
DOI: 10.1007/s40863-020-00163-7

Another Case of Degenerated Discrete Chenciner Dynamic System and Economics

Author(s): Sorin Lugojan; Loredana Ciurdariu; Eugenia Grecu
Published in: Mathematics, Issue 16, 2022, ISSN 2227-7390
Publisher: MDPI
DOI: 10.3390/math10203782

On the Bifurcations of a 3D Symmetric Dynamical System

Author(s): Dana Constantinescu
Published in: Symmetry, Issue 9, 2023, ISSN 2073-8994
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/sym15040923

Output, Uncertainty and Fuel Prices in the EU Countries

Author(s): Pârtachi Ion Profir; Grecu Eugenia; Albulescu Claudiu Tiberiu; Stancu Stelian; Trasca Daniela Livia
Published in: Economic Computation and Economic Cybernetics Studies and Research, Issue 4, 2020, ISSN 0424-267X
Publisher: Instrumentul Bibliometric National
DOI: 10.24818/18423264/54.1.20.02

Chenciner Bifurcation Presenting a Further Degree of Degeneration

Author(s): Sorin Lugojan; Loredana Ciurdariu; Eugenia Grecu
Published in: Mathematics, Issue 26, 2022, ISSN 2227-7390
Publisher: MDPI
DOI: 10.3390/math10091603

Limit cycles of a second-order differential equation

Author(s): Ting Chen; Ting Chen; Jaume Llibre
Published in: Applied Mathematics Letters, Issue 1, 2019, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2018.08.015

Coexistence of chaotic attractor and unstable limit cycles in a 3D dynamical system

Author(s): Constantinescu, Dana; Tigan, Gheorghe; Zhang, Xiang
Published in: Open Research Europe, Issue 41, 2021, ISSN 2732-5121
Publisher: European Commission
DOI: 10.12688/openreseurope.13590.1

A mathematical model of infectious disease transmission

Author(s): Florea Aurelia; Lăzureanu Cristian
Published in: ITM Web of Conferences, Issue 62, 2020, ISSN 2271-2097
Publisher: EDP Sciences
DOI: 10.1051/itmconf/20203402002

A study of a three-dimensional competitive Lotka–Volterra system

Author(s): Munteanu Florian
Published in: ITM Web of Conferences, Vol 34, p 03010 (2020), Issue 55, 2020, ISSN 2271-2097
Publisher: EDP Sciences
DOI: 10.1051/itmconf/20203403010

The study of a fourth-order differential equation: existence, uniqueness and a dynamical system approach

Author(s): Danet Cristian Paul
Published in: ITM Web of Conferences, Issue 34, 2020, ISSN 2271-2097
Publisher: EDP Sciences
DOI: 10.1051/itmconf/20203403005

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