Attractor dimension estimates for dynamical systems : theory and computation : dedicated to Gennady Leonov /

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Bibliographic Details
Author / Creator:	Kuznetsov, Nikolay.
Imprint:	Cham : Springer, [2021].
Description:	1 online resource
Language:	English
Series:	Emergence, complexity and computation, 2194-7287 ; v. 38 Emergence, complexity and computation ; 38.
Subject:	Attractors (Mathematics) Attractors (Mathematics)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12606375

Hidden Bibliographic Details
Other authors / contributors:	Reitmann, Volker, 1948-
ISBN:	9783030509873 3030509877 3030509869 9783030509866
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index.
Summary:	This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Other form:	Original 3030509869 9783030509866
Standard no.:	10.1007/978-3-030-50 10.1007/978-3-030-50987-3.

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