Bifurcation in -symmetry quadratic polynomial systems with delay |
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| Authors: | Chunrui Zhang Baodong Zheng |
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| Institution: | aDepartment of Mathematics, Northeast Forestry University, Harbin 150040, PR China;bDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China |
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| 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. |
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