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Nonautonomous Dynamical Systems

formerly Nonautonomous and Stochastic Dynamical Systems

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Pullback incremental attraction

Peter E. Kloeden
  • Corresponding author
  • Institut für Mathematik Goethe-Universität, 60054 Frankfurt am Main, Germany
  • Email:
/ Thomas Lorenz
  • Institut für Mathematik Goethe-Universität, 60054 Frankfurt am Main, Germany
  • Email:
Published Online: 2013-12-27 | DOI: https://doi.org/10.2478/msds-2013-0004


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

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


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About the article

Received: 2013-06-09

Accepted: 2013-11-11

Published Online: 2013-12-27

Published in Print: 2014-01-01

Citation Information: Nonautonomous Dynamical Systems, ISSN (Online) 2353-0626, DOI: https://doi.org/10.2478/msds-2013-0004. Export Citation

© 2013 Peter E. Kloeden, Thomas Lorenz. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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