On the stability of hyperbolic attractors of systems of differential equations
- Authors: Begun N.A.1, Pliss V.A.1, Sell J.R.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 52, No 2 (2016)
- Pages: 139-148
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153635
- DOI: https://doi.org/10.1134/S0012266116020014
- ID: 153635
Cite item
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
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