The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application

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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.

Keywords:

Hopf bifurcation; Functional differential equation
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The Hopf Bifurcation for an Abstract Functional Differential Equation and Its Application. (1990). Journal of Partial Differential Equations, 3(3), 24-38. https://www.global-sci.com/jpde/article/view/3640

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