Dimension Theory for Ordinary Differential Equations 1

Vetenskap & teknik

Dimension Theory for Ordinary Differential Equations

Vladimir A Boichenko • Genadij A Leonov • Volker Reitmann

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443 sidor
2005

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.

Författare: Vladimir A Boichenko, Genadij A Leonov, Volker Reitmann
Format: Pocket/Paperback
ISBN: 9783519004370
Språk: Tyska
Antal sidor: 443
Utgivningsdatum: 2005-12-01
Förlag: Vieweg+Teubner Verlag