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Metric Entropy of Nonautonomous Dynamical Systems [PDF]
Nonautonomous Dynamical Systems, 2014 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.
Kawan Christoph
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Entropy of nonautonomous dynamical systems [PDF]
, 2017 Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theoretic and topological entropy can be extended quite naturally to discrete ...
Kawan, Christoph
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Shadowing property for nonautonomous dynamical systems
Современная математика: Фундаментальные направления, 2023 A new approach based on the analysis of the influence of a single perturbation is proposed as a test for the shadowing property for a broad class of dynamical systems (in particular, non-autonomous) under a variety of perturbations.
M. L. Blank
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Coherent sets for nonautonomous dynamical systems [PDF]
Physica D: Nonlinear Phenomena, 2009 We describe a mathematical formalism and numerical algorithms for identifying and tracking slowly mixing objects in nonautonomous dynamical systems. In the autonomous setting, such objects are variously known as almost-invariant sets, metastable sets ...
Froyland, Gary +2 more
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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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Nonautonomous dynamics: classification, invariants, and implementation
Современная математика: Фундаментальные направления, 2022 The work is a brief review of the results obtained in nonautonomous dynamics based on the concept of uniform equivalence of nonautonomous systems. This approach to the study of nonautonomous systems was proposed in [10] and further developed in the works
V. Z. Grines, L. M. Lerman
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A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
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On the Proper Treatment of Dynamics in Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
wiley +1 more source
Existence results for some generalized Sigmoid Beverton-Holt models in time scales
Nonautonomous Dynamical Systems, 2023 In this article, we investigate some generalized Sigmoid Beverton-Holt models in time scales, and we obtain the existence and uniqueness of a globally attractive almost periodic solution to the associated dynamic equations with or without survival rates ...
Abdelahi Mariem Mohamed +2 more
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Generalized BDSDEs driven by fractional Brownian motion
Nonautonomous Dynamical Systems, 2023 This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter HH greater than 1/2.
Aidara Sadibou +2 more
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