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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov (Emergence, Complexity and Computation, 38, Band 38) - Hardcover

Buch 37 von 46: Emergence, Complexity and Computation

Kuznetsov, Nikolay; Reitmann, Volker

 
9783030509866: Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov (Emergence, Complexity and Computation, 38, Band 38)
Hardcover
ISBN 10: 3030509869 ISBN 13: 9783030509866
Verlag: Springer, 2020

Inhaltsangabe

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.

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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
3030509869
ISBN 13 
9783030509866
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
564
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