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Pullback incremental attraction

100%

Kloeden P. E., Lorenz T.

Nonautonomous Dynamical Systems

2014

tom 1

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.

Metric Entropy of Nonautonomous Dynamical Systems

100%

Kawan C.

Nonautonomous Dynamical Systems

2014

tom 1

We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn, μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a variational inequality to the topological entropy of nonautonomous systems as defined by Kolyada, Misiurewicz, and Snoha. Moreover, it shares several properties with the classical notion of metric entropy. In particular, invariance with respect to appropriately defined isomorphisms, a power rule, and a Rokhlin-type inequality are proved.

Ograniczanie wyników

2 Nonautonomous Dynamical Systems

1 Kawan C.

1 Kloeden P. E.

1 Lorenz T.

2 2013

Wyniki wyszukiwania

Pullback incremental attraction

Metric Entropy of Nonautonomous Dynamical Systems