1: 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model

Bo Li and Zhimin He

Journal of Applied Mathematics, 2014, vol. 2014, 1-10

Abstract:

1 : 3 resonance of a two-dimensional discrete Hindmarsh-Rose model is discussed by normal form method and bifurcation theory. Numerical simulations are presented to illustrate the theoretical analysis, which predict the occurrence of a closed invariant circle, period-three saddle cycle, and homoclinic structure. Furthermore, it also displays the complex dynamical behaviors, especially the transitions between three main dynamical behaviors, namely, quiescence, spiking, and bursting.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:896478

DOI: 10.1155/2014/896478

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