Bifurcation in Z2-symmetry quadratic polynomial systems with delay

Chunrui Zhang and Baodong Zheng

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3078-3086

Abstract: Z2-symmetry systems are considered. Firstly the general forms of Z2-symmetry quadratic polynomial system are given, and then a three-dimensional Z2 equivariant system is considered, which describes the relations of two predator species for a single prey species. Finally, the explicit formulas for determining the Fold and Hopf bifurcations are obtained by using the normal form theory and center manifold argument.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3078-3086

DOI: 10.1016/j.chaos.2009.04.009

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