Results 141 to 150 of about 317 (164)

Remarks on Topological Entropy of Nonautonomous Dynamical Systems

International Journal of Bifurcation and Chaos, 2015
In this paper, we give several classical definitions of topological entropy (on a noncompact and noninvariant subset) for nonautonomous dynamical system. Furthermore, their relationships are established.
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Morse Decompositions for Nonautonomous General Dynamical Systems

Set-Valued and Variational Analysis, 2013
In this work the authors define Morse decomposition for general nonautonomous dynamical systems. Morse decompositions give a fine structure decomposition of the pullback attractor for the general nonautonomous dynamical systems, and help us understand the behavior of solutions, and in this case, without uniqueness.
Wang, Yejuan, Li, Desheng
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Variational Principles for Entropies of Nonautonomous Dynamical Systems

Journal of Dynamics and Differential Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Leiye, Zhou, Xiaomin
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INVARIANT MEASURES AND THEIR PROJECTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS

Stochastics and Dynamics, 2004
Invariant measure-type notions are examined for nonautonomous dynamical systems, namely, for flows whose dynamics is affected by an external parameter. The desired measures are obtained as projections of invariant measures of the shift flow on the lifted space of trajectories.
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Uniform Attractors of Nonautonomous Dynamical Systems with Memory

2002
The study of nonlinear dynamical systems is of basic importance in the understanding of several natural phenomena. If a certain mathematical model is described by a nonlinear dynamical system, then it is usually difficult to predict whether or not the system will evolve towards a stationary state or it will exhibit a chaotic behavior.
GRASSELLI, MAURIZIO, PATA, VITTORINO
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Discrete-Time Nonautonomous Dynamical Systems

2012
These notes present and discuss various aspects of the recent theory for time-dependent difference equations giving rise to nonautonomous dynamical systems on general metric spaces:First, basic concepts of autonomous difference equations and discrete-time (semi-) dynamical systems are reviewed for later contrast in the nonautonomous case.
P. E. Kloeden, C. Pötzsche, M. Rasmussen   +2 more
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CHAOS IN NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS APPROACHED BY THEIR INDUCED SYSTEMS

International Journal of Bifurcation and Chaos, 2012
A nonautonomous discrete dynamical system is generated by a given sequence of maps. Its induced system is introduced. It is generated by a sequence of maps that are partial compositions of the given sequence of maps in the original order so that every orbit of the induced system is a part of an orbit of the original system starting from the same ...
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Nonautonomous dynamical systems

2011
Peter Kloeden, Martin Rasmussen
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The Ellis semigroup of a nonautonomous discrete dynamical system

Quaestiones Mathematicae, 2017
Manuel Sanchís
exaly  

Polynomial entropy of nonautonomous dynamical systems for noncompact sets

Journal of Mathematical Analysis and Applications, 2022
exaly