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- W2786256225 abstract "In this paper, a type of reaction–diffusion neutral neuron system with time delay under homogeneous Neumann boundary conditions is considered. By constructing a basis of phase space based on the eigenvectors of the corresponding Laplace operator, the characteristic equation of this system is obtained. Then, by selecting time delay and self-feedback strength as the bifurcating parameters respectively, the dynamic behaviors including local stability and Hopf bifurcation near the zero equilibrium point are investigated when the time delay and self-feedback strength vary. Furthermore, the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are obtained by using the normal form and the center manifold theorem for the corresponding partial differential equation. Finally, two simulation examples are given to verify the theory." @default.
- W2786256225 created "2018-02-23" @default.
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- W2786256225 date "2017-12-30" @default.
- W2786256225 modified "2023-09-24" @default.
- W2786256225 title "Stability and Hopf Bifurcation of a Reaction–Diffusion Neutral Neuron System with Time Delay" @default.
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- W2786256225 doi "https://doi.org/10.1142/s0218127417502145" @default.
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