Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
Language: English
Published by Springer International Publishing, 2020
Series: Book 37 of 47 - Emergence, Complexity and Computation
- Hardcover
- New
Condition: New
£ 171.50
Quantity: Over 20 available
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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 .
Seller Inventory # 448683692
- Title
- Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
- Author
- Nikolay Kuznetsov|Volker Reitmann
- Publisher
- Springer International Publishing
- Publication year
- 2020
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 3030509869
- ISBN 13
- 9783030509866
- Series
- Book 37 of 47: Emergence, Complexity and Computation
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
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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