The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application |
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Authors: | Lei Yansong |
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Abstract: | ln this peper we obtained the Hopf bifurcation theorem for an abstract functional differential equation by the results of [1]. The asymptotic expression of bifurcation formulae and stability condition were given in detail. Applying the result, we considered the Hopf bifurcation problem for a reaction-diffusion equation with time delay. |
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Keywords: | Hopf bifurcation Functional differential equation |
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