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Global attractors of non-autonomous dissipative dynamical systems

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Published by World Scientific in Singapore .
Written in English


Book details:

Edition Notes

StatementDavid N. Cheban.
Classifications
LC ClassificationsQA76
The Physical Object
Paginationxxiii, 502 p. ;
Number of Pages502
ID Numbers
Open LibraryOL22615161M
ISBN 109812560289

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ISBN: OCLC Number: Description: xxiii, pages ; 26 cm. Contents: Autonomous dynamical systems --Non-autonomous dissipative dynamical systems --Analytic dissipative systems --The structure of the Levinson center of system with the condition of the hyperbolicity --Method of Lyapunov functions --Dissipativity of some classes of equations --Upper semi. A catalogue record for this book is available from the British Library. Global attractors of non-autonomous dynamical system Non-autonomous dissipative dynamical systems and.   Zgurovsky M.Z., Kasyanov P.O. () Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systems. In: Qualitative and Quantitative Analysis of Nonlinear Systems. Studies in Systems, Decision and Control, vol Author: Michael Zgurovsky, Mark Gluzman, Nataliia Gorban, Pavlo Kasyanov, Liliia Paliichuk, Olha Khomenko. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications.

Recall that these concepts are rooted in the theory of global attractors and other invariant attracting sets for the autonomous infinite-dimensional dynamical systems [7,28,32,35,40,44,45,46] and. GLOBAL ATTRACTORS OF NON-AUTONOMOUS QUASI-HOMOGENEOUS DYNAMICAL SYSTEMS DAVID N. CHEBAN Abstract. It is shown that non-autonomous quasi-homogeneous dynamical systems admit a compact global attractor. The general results obtained here are applied to di erential equations both in nite dimensional spaces and in. Uniform Global Attractors for Non-autonomous Dissipative Dynamical Systems. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian. are then applied to the synchronization of dissipative systems in chapter fifteen. vii. On the upper semicontinuity of cocycle attractors for non-autonomous and random dynamical cs of Continuous, Discrete and Im-pulsive Systems A,10(4) Global Attractors of Non-Autonomous Dissipative Dynamical Systems,vol-.

This review paper treats the dynamics of non-autonomous dynamical systems. To study the forwards asymptotic behaviour of a non-autonomous differential equation we need to analyse the asymptotic configurations of the non-autonomous terms present in the equations. This fact leads to the definition of concepts such as skew-products and cocycles and their associated global, uniform, and cocycle. Proposed running head: Attractors: topology and dynamics Many a dissipative evolution equation possesses a global attractor A with finite Hausdorff dimension d. In this paper it is shown there is an embedding X of A into IRN, with N= [2d+2], such that Xis the global attractor of some finite-dimensional system on IRN with trivial dynamics on X. Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) por David N Cheban. Interdisciplinary Mathematical Sciences (Book 18) ¡Gracias por compartir! Has enviado la siguiente calificación y reseña. Lo publicaremos en nuestro sitio después de haberla revisado.   The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact :