Results 11 to 20 of about 608 (201)
Synchronization of nonautonomous dynamical systems
Electronic Journal of Differential Equations, 2003 The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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Metric Entropy of Nonautonomous Dynamical Systems [PDF]
Nonautonomous Dynamical Systems, 2013 Abstract 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 ...
Kawan Christoph +2 more
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The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems
Mathematics, 2023 Let (E,h1,∞) be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (hj)j=1∞ of continuous maps hj:E→E over a nontrivial metric space (E,d). This paper defines and discusses some forms of ergodicity and sensitivity
Risong Li +5 more
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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS [PDF]
Journal of the Korean Mathematical Society, 2012 In this paper, the topological entropy and measure-theoreti entropy for nonautonomous dynamical systems are studied. Some prop- erties of these entropies are given and the relation between them is dis- cussed. Moreover, the bounds of them for several particular nonau- tonomous systems, such as affine transformations on metrizable groups (especially on ...
Yujun Zhu
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On the forward dynamical behaviour of nonautonomous lattice dynamical systems
Journal of Difference Equations and Applications, 2021 In this article, we study the forward dynamical behavior of nonautonomous lattice systems. We first construct a family of sets $\{\mathcal{A}_\varepsilon(σ)\}_{σ\in Σ}$ in arbitrary small neighborhood of a global attractor of the skew-product flow generated by a general nonautonomous lattice system, which is forward invariant and uniformly forward ...
Chunqiu Li, Jintao Wang
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Measure and Statistical Attractors for Nonautonomous Dynamical Systems [PDF]
Journal of Dynamics and Differential Equations, 2022 AbstractVarious inequivalent notions of attraction for autonomous dynamical systems have been proposed, each of them useful to understand specific aspects of attraction. Milnor’s notion of a measure attractor considers invariant sets with positive measure basin of attraction, while Ilyashenko’s weaker notion of a statistical attractor considers ...
Lea Oljača +2 more
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A Note on Stronger Forms of Sensitivity for Non-Autonomous Dynamical Systems on Uniform Spaces [PDF]
EntropyThis paper introduces the notion of multi-sensitivity with respect to a vector within the context of non-autonomous dynamical systems on uniform spaces and provides insightful results regarding N-sensitivity and strongly multi-sensitivity, along with ...
Lixin Jiao +3 more
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Controllability and Observability of Nonautonomous Riesz-Spectral Systems
Abstract and Applied Analysis, 2018 There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process.
Sutrima Sutrima +2 more
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VISUALIZATION TOOLS FOR GROUPOIDS ASSOCIATED TO NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS [PDF]
Fiabilitate şi Durabilitate, 2022 The purpose of this paper is to provide visualization tools for analysis of the family of groupoids associated in [5] to a discrete nonautonomous system.
Mădălina Roxana BUNECI
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