Equivariant Hopf Bifurcation in a Ring of Identical Cells with Delay
نویسندگان
چکیده
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 equivariant Hopf bifurcations of ordinary differential equations due to Golubitsky et al. 1988 and delay differential equations due to Wu 1998 , and combining the normal form theory of functional differential equations due to Faria and Magalhaes 1995 , the equivariant Hopf bifurcation is completely analyzed.
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