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- W2059777391 abstract "A scalar delay-differential equation with diffusion term in one space dimension, where the diffusivity D is a bifurcation parameter, is considered. The center manifold theory and the method of Lyapunov–Schmidt are used to describe two bifurcations from spatially constant solutions as D decreases. By modifying the equation the order of these bifurcations can be reversed. Then the existence of a compact attractor for a class of such equations is shown and the structure of part of the attractor for the modified equation is investigated. It is known that the solutions are globally $L^2 $-bounded; bounds on the solution operator from one intermediate space to another are constructed to obtain an attractor in the $W^{2,2} $ sense." @default.
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- W2059777391 date "1989-05-01" @default.
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- W2059777391 title "Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion" @default.
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- W2059777391 doi "https://doi.org/10.1137/0520037" @default.
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