Results 11 to 20 of about 5,568 (185)
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 +3 more
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Coherent sets for nonautonomous dynamical systems [PDF]
Physica D: Nonlinear Phenomena, 2010 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, persistent patterns, or strange eigenmodes, and have proved to be important in a variety of ...
Froyland, G +2 more
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Pullback attractors of nonautonomous dynamical systems
Discrete & Continuous Dynamical Systems - A, 2006 We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang +2 more
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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
Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
core +1 more source
On Nonautonomous Discrete Dynamical Systems [PDF]
International Journal of Analysis, 2014 We define and study expansiveness, shadowing, and topological stability for a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a metric space.
Dhaval Thakkar, Ruchi Das
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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
doaj
On attractors, spectra and bifurcations of random dynamical systems [PDF]
, 2015 In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core +1 more source
Abstract and Applied Analysis, 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations.
Noriaki Yamazaki
doaj +1 more source
A Theoretical Framework for Lagrangian Descriptors [PDF]
, 2017 This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds is simplified by introducing an alternative definition for LDs.
Balibrea-Iniesta, Francisco +4 more
core +3 more sources