Perturbations of attractors of differential equations

Victor A. Pliss, George R. Sell

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

In this paper we study small C1-perturbations of a differential equation that has a hyperbolic attractor K. We show that if K has a suitable Lipschitz property and if the perturbation is small enough, then there is a homeomorphism H : K→KY, where KY is a hyperbolic attractor for the perturbed equation. Examples are included.

Original languageEnglish (US)
Pages (from-to)100-124
Number of pages25
JournalJournal of Differential Equations
Volume92
Issue number1
DOIs
StatePublished - Jul 1991

Bibliographical note

Funding Information:
* This research was done at the Institute for Mathematics and Its Applications supported in part by grants from the National Science Foundation.

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