Open Access
2014 1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model
Bo Li, Zhimin He
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/896478


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.


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Bo Li. Zhimin He. "1 : 3 Resonance and Chaos in a Discrete Hindmarsh-Rose Model." J. Appl. Math. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131955
MathSciNet: MR3293833
Digital Object Identifier: 10.1155/2014/896478

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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