On the stability of hyperbolic attractors of systems of differential equations


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We study small C1-perturbations of systems of differential equations that have a weakly hyperbolic invariant set. We show that the weakly hyperbolic invariant set is stable even if the Lipschitz condition fails.

About the authors

N. A. Begun

St. Petersburg State University

Author for correspondence.
Email: nikitabegun88@gmail.com
Russian Federation, St. Petersburg

V. A. Pliss

St. Petersburg State University

Email: nikitabegun88@gmail.com
Russian Federation, St. Petersburg

J. R. Sell

St. Petersburg State University

Email: nikitabegun88@gmail.com
Russian Federation, St. Petersburg

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Pleiades Publishing, Ltd.