Name: Attractor Dimension Estimates for Dynamical Systems Theory and Computation Dedicated to Gennady Leonov 38 Emergence, Complexity and Computation (en Inglés)
Price: 299440.00 CLP
Availability: InStock
Author: Nikolay Kuznetsov
ISBN: 9783030509866

portada Attractor Dimension Estimates for Dynamical Systems Theory and Computation Dedicated to Gennady Leonov 38 Emergence, Complexity and Computation (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Nikolay Kuznetsov

Idioma

Inglés

Encuadernación

Tapa Dura

ISBN13

9783030509866

Attractor Dimension Estimates for Dynamical Systems Theory and Computation Dedicated to Gennady Leonov 38 Emergence, Complexity and Computation (en Inglés)

Nikolay Kuznetsov (Autor) · Springer · Tapa Dura

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Reseña del libro "Attractor Dimension Estimates for Dynamical Systems Theory and Computation Dedicated to Gennady Leonov 38 Emergence, Complexity and Computation (en Inglés)"

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.