Lyapunov's second method for nonautonomous differential equations

Lars Grüne; Peter E. Kloeden; Stefan Siegmund; Fabian R. Wirth

doi:10.3934/dcds.2007.18.375

Article Contents

2007, Volume 18, Issue 2&3: 375-403. Doi: 10.3934/dcds.2007.18.375

This issue Previous Article Necessary condition for the basin of attraction of a periodic orbit in non-smooth periodic systems Next Article On the inverse Sturm-Liouville problem

Lyapunov's second method for nonautonomous differential equations

1.
Mathematisches Institute, Universität Bayreuth, 95440 Bayreuth
2.
Institut für Computerorientierte Mathematik, J.W. Goethe Universität, 60054 Frankfurt
3.
The Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare

Received: April 2006

Revised: August 2006

Published: June 2007

Abstract / Introduction Related Papers Cited by

Abstract

Converse Lyapunov theorems are presented for nonautonomous systems modelled as skew product flows. These characterize various types of stability of invariant sets and pullback, forward and uniform attractors in such nonautonomous systems.

Keywords:

Mathematics Subject Classification: 37B25, 37B55, 93D30.

Citation:

Article Metrics

HTML views() PDF downloads(110) Cited by(0)

Lyapunov's second method for nonautonomous differential equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Lyapunov's second method for nonautonomous differential equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content