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Creators/Authors contains: "Chen, Yaqi"

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  1. ; ; (, Nonlinear Dynamics)
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  2. ; ; (, International Journal of Bifurcation and Chaos)
    Circular domains frequently appear in mathematical modeling in the fields of ecology, biology and chemistry. In this paper, we investigate the equivariant Hopf bifurcation of partial functional differential equations with Neumann boundary condition on a two-dimensional disk. The properties of these bifurcations at equilibriums are analyzed rigorously by studying the equivariant normal forms. Two reaction–diffusion systems with discrete time delays are selected as numerical examples to verify the theoretical results, in which spatially inhomogeneous periodic solutions including standing waves and rotating waves, and spatially homogeneous periodic solutions are found near the bifurcation points. 
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  3. ; ; (, Physical Review E)
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