Inicio Dimension Theory for Ordinary Differential Equations de Vladimir A. Boichenko; Genadij A. Leonov; Volker Reitmann (ISBN: 9783519004370)

Foto de archivo: la portada puede ser diferente

Dimension Theory for Ordinary Differential Equations Tapa blanda - 2005

Name: Dimension Theory for Ordinary Differential Equations
Price: 134.13 GBP
Availability: InStock
Author: Vladimir A. Boichenko
ISBN: 9783519004370

de Vladimir A. Boichenko; Genadij A. Leonov; Volker Reitmann

Ver más ejemplares ↓

Información de la editorial

The book is concerned with upper bounds for the Hausdorff and Fractal dimensions of flow invariant compact sets in Euclidean space and on Riemannian manifolds and the application of such bounds to global stability investigations of equilibrium points. The dimension estimates are formulated in terms of the eigenvalues of the symmetric part of the linearized vector field by including Lyapunov functions into the contraction conditions for outer Hausdorff measures. Various types of local, global and uniform Lyapunov exponents are introduced. On the base of such exponents the Lyapunov dimension of a set is defined and the Kaplan-Yorke formula is discussed. Upper estimates for the topological entropy are derived using Lyapunov functions and adapted Lozinskii norms.

Descripción de contraportada

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.

Detalles

Título Dimension Theory for Ordinary Differential Equations
Autor Vladimir A. Boichenko; Genadij A. Leonov; Volker Reitmann
Encuadernación Tapa blanda
Páginas 443
Volúmenes 1
Idioma ENG
Editorial Vieweg+teubner Verlag
Fecha de publicación 2005-12-08
ISBN 9783519004370 / 3519004372
Peso 1.56 libras (0.71 kg)
Dimensiones 9.61 x 6.69 x 0.91 pulgadas (24.41 x 16.99 x 2.31 cm)
Dewey Decimal Code 515

Acerca del autor

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

Ir arriba↑