Attractor Dimension Estimates for Dynamical Systems: Theory and Computation - Dedicated to Gennady Leonov (Paperback, 1st ed. 2021)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Emergence, Complexity and Computation, 38
Release date:	July 2021
First published:	2021
Authors:	Nikolay Kuznetsov • Volker Reitmann
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	545
Edition:	1st ed. 2021
ISBN-13:	978-3-03-050989-7
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Science & Mathematics > Physics > Classical mechanics > General Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	3-03-050989-3
Barcode:	9783030509897

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