Phase portraits of a family of kolmogorov systems with infinitely many singular points at infinity

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2022_Phase portraits_Kolmogorov systems.pdf (3.25 MB)
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URI: https://hdl.handle.net/10347/39007
E-ISSN: 1878-7274
DOI: 10.1016/j.cnsns.2021.106038

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2022

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Elsevier
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We give the topological classification of the global phase portraits in the Poincaré disc of the Kolmogorov systems, which depend on five parameters and have infinitely many singular points at the infinity. We prove that these systems have 22 topologically distincs phase portraits.

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Érika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar, Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity, Communications in Nonlinear Science and Numerical Simulation, Volume 104, 2022, 106038, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2021.106038.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización