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Attractor dimension estimates for dy...

Kuznetsov, Nikolay.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Attractor dimension estimates for dynamical systems/ by Nikolay Kuznetsov, Volker Reitmann.
Reminder of title:	theory and computation : dedicated to Gennady Leonov /
Author:	Kuznetsov, Nikolay.
other author:	Reitmann, Volker.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xix, 545 p. :ill., digital ;24 cm.
[NT 15003449]:	Attractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory.
Contained By:	Springer Nature eBook
Subject:	Attractors (Mathematics) -
Online resource:	https://doi.org/10.1007/978-3-030-50987-3
ISBN:	9783030509873

Attractor dimension estimates for dynamical systems = theory and computation : dedicated to Gennady Leonov /
Kuznetsov, Nikolay.

Attractor dimension estimates for dynamical systemstheory and computation : dedicated to Gennady Leonov /[electronic resource] :by Nikolay Kuznetsov, Volker Reitmann. - Cham :Springer International Publishing :2021. - xix, 545 p. :ill., digital ;24 cm. - Emergence, complexity and computation,v. 382194-7295 ;. - Emergence, complexity and computation ;v. 38..

Attractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory.

This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Caratheodory 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 Henon 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.

ISBN: 9783030509873

Standard No.: 10.1007/978-3-030-50987-3doiSubjects--Topical Terms:

596245
Attractors (Mathematics)

LC Class. No.: QA614.813 / .K89 2021

Dewey Class. No.: 515.39

Attractor dimension estimates for dynamical systems = theory and computation : dedicated to Gennady Leonov /
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490 1 $a Emergence, complexity and computation, $x 2194-7295 ; $v v. 38
505 0 $a Attractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory.
520 $a This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Caratheodory 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 Henon 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.
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