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arXiv · 1905.04904

Li-Yorke chaos in nonautonomous Hopf bifurcation patterns - I

Carmen Núñez·Rafael Obaya
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Abstract

We analyze the characteristics of the global attractor of a type of dissipative nonautonomous dynamical systems in terms of the Sacker and Sell spectrum of its linear part. The model gives rise to a pattern of nonautonomous Hopf bifurcation which can be understood as a generalization of the classical autonomous one. We pay special attention to the dynamics at the bifurcation point, showing the possibility of occurrence of Li-Yorke chaos in the corresponding attractor and hence of a high degree of unpredictability.

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Carmen Núñez, Rafael Obaya. 2019-05-13. Li-Yorke chaos in nonautonomous Hopf bifurcation patterns - I. https://doi.org/10.1088/1361-6544%2Fab28ab

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