Attractor Dimension Estimates for Dynamical Systems: Theory and Computation - Couverture rigide

Livre 35 sur 44: Emergence, Complexity and Computation

Kuznetsov, Nikolay; Reitmann, Volker

 
9783030509866: Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
Couverture rigide
ISBN 10 : 3030509869 ISBN 13 : 9783030509866
Editeur : Springer Nature Switzerland AG, 2020

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Nature Switzerland AG
Date d'édition
2020
Langue
anglais
ISBN 10 
3030509869
ISBN 13 
9783030509866
Reliure
Relié
Nombre de pages
564
Coordonnées du fabricant
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Darmstadt
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Allemagne

Autres éditions populaires du même titre

9783030509897: Attractor Dimension Estimates for Dynamical Systems - Theory and Computation: Dedicated to Gennady Leonov

Edition présentée

ISBN 10 :  3030509893 ISBN 13 :  9783030509897
Editeur : Springer Nature Switzerland AG, 2021
Couverture souple