Lyapunovs second method for nonautonomous differential equations

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Lars Grüne - , University of Bayreuth (Author)
  • Peter E. Kloeden - , Goethe University Frankfurt a.M. (Author)
  • Stefan Siegmund - , Goethe University Frankfurt a.M. (Author)
  • Fabian R. Wirth - , National University of Ireland Maynooth (Author)

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.

Details

Original languageEnglish
Pages (from-to)375-403
Number of pages29
Journal Discrete and continuous dynamical systems
Volume18
Issue number2-3
Publication statusPublished - 2007
Peer-reviewedYes
Externally publishedYes

External IDs

ORCID /0000-0003-0967-6747/work/172571573

Keywords

ASJC Scopus subject areas

Keywords

  • Lyapunov function, Lyapunov's second method, Nonautonomous attractor, Nonautonomous differential equation, Nonautonomous dynamical system, Stability