Dimension Theory for Ordinary Differential Equations

Dimension Theory for Ordinary Differential Equations

von

Boichenko, Vladimir A.Reitmann, VolkerLeonov, Genadij A.

BuchKartoniert, Paperback

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Beschreibung

This book is devoted to the estimation of dimension-like characteristics (Hausdorff dimension, fractal dimension, Lyapunov dimension, topological entropy) for attractors(mainly global B-attractors) of ordinary differential equations, time-discrete systems and dynamical systems on finite-dimensional manifolds. The contraction under flows ofparameter-dependent outer measures is shown by introducing varying Lyapunov functions or metric tensors in the calculation of singular values. For the attractors of the Henon and Lorenz systems, exact formulae for the Lyapunov dimension are derived.

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Details

ISBN/GTIN978-3-519-00437-0

ProduktartBuch

EinbandKartoniert, Paperback

Verlag

Vieweg+Teubner Verlag

Erscheinungsdatum08.12.2005

Auflage2005

ReiheTeubner-Texte zur Mathematik

Reihen-Nr.141

Seiten448 Seiten

SpracheEnglisch

MasseBreite 170 mm, Höhe 240 mm, Dicke 25 mm

Gewicht755 g

Artikel-Nr.1920603

KatalogBuchzentrum

Datenquelle-Nr.1224370

Weitere Details

Reihe

Evolution Equations in Scales of Banach Spaces

Dimension Theory for Ordinary Differential Equations

Autor

Boichenko, Vladimir A.Reitmann, VolkerLeonov, Genadij A.

Dr. Vladimir A. Boichenko, Barrikada Company, St. Petersburg
Prof. Dr. Gennadij A. Leonov, St. Petersburg State University
Dr. Volker Reitmann, MPI for the Physics of Complex Systems, Dresden