Dimension Theory for Ordinary Differential Equations
(Sprache: Englisch)
Modern Topics in Applied Analysis and Dynamical Systems
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Produktinformationen zu „Dimension Theory for Ordinary Differential Equations “
Modern Topics in Applied Analysis and Dynamical Systems
Klappentext zu „Dimension Theory for Ordinary Differential Equations “
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.
Inhaltsverzeichnis zu „Dimension Theory for Ordinary Differential Equations “
Basic facts from matrix theory - Attractors, stability and Lyapunov functions - Introduction to dimension theory - Dimension and Lyapunov functions - Dimension estimates for invariant sets of vector fields on manifolds
Autoren-Porträt von Vladimir A. Boichenko, Genadij A. Leonov, Volker Reitmann
Dr. Vladimir A. Boichenko, Barrikada Company, St. PetersburgProf. Dr. Gennadij A. Leonov, St. Petersburg State University
Dr. Volker Reitmann, MPI for the Physics of Complex Systems, Dresden
Bibliographische Angaben
- Autoren: Vladimir A. Boichenko , Genadij A. Leonov , Volker Reitmann
- 2005, 441 Seiten, Maße: 24 cm, Kartoniert (TB), Englisch
- Verlag: Vieweg+Teubner
- ISBN-10: 3519004372
- ISBN-13: 9783519004370
Sprache:
Englisch
Rezension zu „Dimension Theory for Ordinary Differential Equations “
"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
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