Attractor Dimension Estimates for Dynamical Systems: Theory and Computation (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
545
Utgivningsdatum
2021-07-03
Upplaga
1st ed. 2021
Förlag
Springer Nature Switzerland AG
Medarbetare
Reitmann, Volker
Illustrationer
10 Illustrations, color; 24 Illustrations, black and white; XIX, 545 p. 34 illus., 10 illus. in colo
Dimensioner
234 x 156 x 29 mm
Vikt
785 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783030509897

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

Dedicated to Gennady Leonov

av Nikolay Kuznetsov, Volker Reitmann
Häftad,  Engelska, 2021-07-03
2996
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This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathodory 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 Hnon 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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Nikolay Kuznetsov, Volker Reitmann

Recensioner i media

It is interesting and very well written. Mostly, chapters are self-contained and rich of detailed explanations. Many powerful computational tools and algorithms provide a solid numerical background for the study of attractor dimensions. this book contains advanced material on attractor dimension estimates for dynamical systems. This is definitely suitable for researchers in applied mathematics and computational theory of dynamical systems. (Mohammad Sajid, zbMATH 1483.37001, 2022)

Innehållsförteckning

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

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