Pullback incremental attraction

• Autorzy: Peter E. Kloeden , Thomas Lorenz
• Języki publikacji: EN

Abstrakty

EN

A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.

Słowa kluczowe

EN

Nonautonomous dynamical system; nonautonomous differential equation; pullback incremental stability; Lyapunov function; pullback attractors

Kategorie tematyczne

• 37B55: Nonautonomous dynamical systems
• 93D30: Scalar and vector Lyapunov functions
• 37B25: Lyapunov functions and stability; attractors, repellers

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2014
• Tom: 1

Daty

otrzymano

2013-09-06

zaakceptowano

2013-11-11

online

2013-12-27

Twórcy

autor

Peter E. Kloeden

• Institut für Mathematik
  Goethe-Universität, 60054 Frankfurt am Main, Germany

autor

Thomas Lorenz

• Institut für Mathematik
  Goethe-Universität, 60054 Frankfurt am Main, Germany

Bibliografia

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Identyfikatory

DOI

10.2478/msds-2013-0004