Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov
Kuznetsov, Nikolay, Reitmann, Volker
ISBN 10: 3030509869 ISBN 13: 9783030509866
Editore: Springer, 2020
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2020. Hardcover. . . . . . Books ship from the US and Ireland. Codice articolo V9783030509866
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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.
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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.
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Titolo: Attractor Dimension Estimates for Dynamical ...
Casa editrice: Springer
Data di pubblicazione: 2020
Legatura: Rilegato
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
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Springer International Publishing, 2020
ISBN 10: 3030509869
ISBN 13: 9783030509866
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a systematic presentation of research activities in the dimension theory of dynamical systems in finite-dimensional Euclidean spaces and manifolds  Investigates global attractors and invariant sets for dynamical systems by means . Codice articolo 448683692
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Attractor Dimension Estimates for Dynamical Systems : Theory and Computation
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov (Emergence, Complexity and Computation, 38)
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov (Emergence, Complexity and Computation, 38)
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Condizione: New. Codice articolo ABLIING23Mar3113020020348
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
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Springer International Publishing Jul 2020, 2020
ISBN 10: 3030509869
ISBN 13: 9783030509866
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 568 pp. Englisch. Codice articolo 9783030509866
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
ISBN 10: 3030509869
ISBN 13: 9783030509866
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 568 pp. Englisch. Codice articolo 9783030509866
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation : Dedicated to Gennady Leonov
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Springer International Publishing, 2020
ISBN 10: 3030509869
ISBN 13: 9783030509866
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783030509866
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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation (Hardcover)
Editore:
Springer Nature Switzerland AG, Cham, 2020
ISBN 10: 3030509869
ISBN 13: 9783030509866
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Hardcover. Condizione: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783030509866
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Condizione: As New. Unread book in perfect condition. Codice articolo 41622603
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