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

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URI: https://hdl.handle.net/10347/39011
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2020.105621

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2021

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Elsevier
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In this work we study the periodic orbits which bifurcate from all zero-Hopf bifurcations that an arbitrary Kolmogorov system of degree 3 in R 3 can exhibit. The main tool used is the averaging theory.

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Érika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar, Claudia Valls, The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3, Communications in Nonlinear Science and Numerical Simulation, Volume 95, 2021, 105621, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2020.105621.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización