Results 11 to 20 of about 6,032 (198)
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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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 Minimality of Nonautonomous Dynamical Systems [PDF]
Nonlinear Oscillations, 2004 The minimality of a nonautonomous dynamical system given by a compact Hausdorff space X and a sequence of continuous self-maps of X is studied. A sufficient condition for the nonminimality of such a system is formulated. Special attention is given to the particular case where X is a real compact interval I.
Kolyada, S.F. +2 more
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A survey on impulsive dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems
Everaldo Bonotto +3 more
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Nonautonomous Dynamical Systems, 2023 We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of ...
El Matloub Jaouad, Ezzinbi Khalil
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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On some kinds of dense orbits in general nonautonomous dynamical systems
Nonautonomous Dynamical Systems, 2020 We study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended.
Pourbarat Mehdi
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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
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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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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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