Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay | Zendy

Dejun Fan | Zendy; Junjie Wei | Zendy

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Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay

Author(s) -

Dejun Fan,

Junjie Wei

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/950251

Subject(s) - equivariant map , hopf bifurcation , mathematics , ordinary differential equation , mathematical analysis , delay differential equation , eigenvalues and eigenvectors , saddle node bifurcation , bifurcation diagram , bifurcation , differential equation , pure mathematics , nonlinear system , physics , quantum mechanics

A kind of delay neural network with n elements is considered. By analyzing the distribution of the eigenvalues, a bifurcation set is given in an appropriate parameter space. Then by using the theory of equivariantHopf bifurcations of ordinary differential equations due to Golubitsky et al. (1988) and delay differential equations due to Wu (1998), and combining the normalform theory of functional differential equations due to Faria and Magalhaes (1995), the equivariant Hopf bifurcation is completely analyzed

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