Dimension Theory for Ordinary Differential Equations

Author:   Vladimir A. Boichenko ,  Genadij A. Leonov ,  Volker Reitmann
Publisher:   Springer Fachmedien Wiesbaden
Edition:   Softcover reprint of the original 1st ed. 2005
Volume:   141
ISBN:  

9783519004370


Pages:   443
Publication Date:   08 December 2005
Format:   Paperback
Availability:   In Print   Availability explained
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Dimension Theory for Ordinary Differential Equations


Overview

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 of parameter-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.

Full Product Details

Author:   Vladimir A. Boichenko ,  Genadij A. Leonov ,  Volker Reitmann
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Vieweg+Teubner Verlag
Edition:   Softcover reprint of the original 1st ed. 2005
Volume:   141
Dimensions:   Width: 17.00cm , Height: 2.30cm , Length: 24.00cm
Weight:   0.755kg
ISBN:  

9783519004370


ISBN 10:   3519004372
Pages:   443
Publication Date:   08 December 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   German

Table of Contents

Reviews

Concluding, one may say that the introductory parts of the book are suitable for graduate students, and in the advanced sections even experts in the field will certainly discover novelties. Zentralblatt Mathematik, 20/2006


Author Information

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

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