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Dimension Theory for Ordinary Differential Equations
Boichenko, Vladimir A.; Leonov, Genadij A.; Reitmann, Volker
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Description for Dimension Theory for Ordinary Differential Equations
Paperback. Series: Teubner-texte Zur Mathematik. Num Pages: 443 pages, 4 black & white illustrations, 3 black & white tables, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 240 x 170 x 23. Weight in Grams: 754.
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.
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.
Product Details
Format
Paperback
Publication date
2005
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
443
Condition
New
Series
Teubner-texte Zur Mathematik
Number of Pages
443
Place of Publication
Weisbaden, Germany
ISBN
9783519004370
SKU
V9783519004370
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Boichenko, Vladimir A.; Leonov, Genadij A.; Reitmann, Volker
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
Reviews for 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