Displaying similar documents to “A Lyapunov function for pullback attractors of nonautonomous differential equations.”

On the definition of strange nonchaotic attractor

Lluís Alsedà, Sara Costa (2009)

Fundamenta Mathematicae

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The aim of this paper is twofold. On the one hand, we want to discuss some methodological issues related to the notion of strange nonchaotic attractor. On the other hand, we want to formulate a precise definition of this kind of attractor, which is "observable" in the physical sense and, in the two-dimensional setting, includes the well known models proposed by Grebogi et al. and by Keller, and a wide range of other examples proposed in the literature. Furthermore, we analytically prove...

Pullback incremental attraction

Peter E. Kloeden, Thomas Lorenz (2014)

Nonautonomous Dynamical Systems

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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.

Irregular attractors.

Anishchenko, Vadim S., Strelkova, Galina I. (1998)

Discrete Dynamics in Nature and Society

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