On the global dynamics of attractors for scalar delay equations

McCord, Christopher; Mischaikow, Konstantin

doi:10.1090/S0894-0347-96-00207-X

On the global dynamics of attractors for scalar delay equations
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by Christopher McCord and Konstantin Mischaikow PDF

J. Amer. Math. Soc. 9 (1996), 1095-1133 Request permission

Abstract:

A semi-conjugacy from the dynamics of the global attractors for a family of scalar delay differential equations with negative feedback onto the dynamics of a simple system of ordinary differential equations is constructed. The construction and proof are done in an abstract setting, and hence, are valid for a variety of dynamical systems which need not arise from delay equations. The proofs are based on the Conley index theory.

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