Perturbations of attractors of differential equations

Victor A. Pliss; George R. Sell

doi:10.1016/0022-0396(91)90066-I

Perturbations of attractors of differential equations

Victor A. Pliss, George R. Sell

Mathematics

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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→K^Y, where K^Y is a hyperbolic attractor for the perturbed equation. Examples are included.

Original language	English (US)
Pages (from-to)	100-124
Number of pages	25
Journal	Journal of Differential Equations
Volume	92
Issue number	1
DOIs	https://doi.org/10.1016/0022-0396(91)90066-I
State	Published - 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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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.",

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AB - 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.

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Perturbations of attractors of differential equations

Abstract

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