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Zero-Hopf bifurcation of a reaction-diffusion memristive BAM neural network with time delay

In this paper, a reaction-diffusion memristive BAM neural network with time delay is constructed. Then, the zero-Hopf bifurcation conditions are obtained and the third-order normal form of zero-Hopf bifurcation are obtained by using the center manifold theorem and the normal form theory. Through analysing the normal form, the dynamic regions on coupling strength of memristor and time dealy plane are obtained, which has six regions. Some interesting dynamics are found in these areas.