Lyapunov's second method for nonautonomous differential equations | Zendy

Fabian Wirth | Zendy; Stefan Siegmund | Zendy; Peter E. Kloeden | Zendy; Lars Grüne | Zendy

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Lyapunov's second method for nonautonomous differential equations

Author(s) -

Fabian Wirth,

Stefan Siegmund,

Peter E. Kloeden,

Lars Grüne

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.18.375

Subject(s) - mathematics , converse , pullback attractor , lyapunov function , invariant (physics) , mathematical analysis , skew , lyapunov equation , stability theory , differential equation , pullback , attractor , lyapunov exponent , nonlinear system , computer science , physics , geometry , quantum mechanics , mathematical physics , telecommunications

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.

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