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OverviewThis 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 DetailsAuthor: Vladimir A. Boichenko , Genadij A. Leonov , Volker ReitmannPublisher: 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: 9783519004370ISBN 10: 3519004372 Pages: 443 Publication Date: 08 December 2005 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print 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 ContentsReviewsConcluding, 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 InformationDr. 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 Tab Content 6Author Website:Countries AvailableAll regions |
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