Dimension Theory for Ordinary Differential Equations by Vladimir A Boichenko
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.-
The Integral Equations of the Theory of Elasticity
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Attraktoreingrenzung für nichtlineare Systeme
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Problems and Methods in Mathematical Physics
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Linear-implizite Runge-Kutta-Methoden und ihre Anwendung
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Some Applications of Weighted Sobolev Spaces
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Symposium “Analysis on Manifolds with Singularities”, Breitenbrunn 1990
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Function Spaces, Differential Operators and Nonlinear Analysis
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Nonlinear Analysis, Function Spaces and Applications Vol. 4
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Labyrinth Problems
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Limit Theorems and Some Applications in Statistical Physics
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Non-Local Methods for Pendulum-Like Feedback Systems
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Sobolev Spaces on Domains
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Dependencies in Relational Databases
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Regularization for Applied Inverse and Ill-Posed Problems
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M-matrices in Numerical Analysis
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Analytische Methoden in der Theorie der Erhaltungsgleichungen
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Semimodular Lattices
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Evolution Equations in Scales of Banach Spaces
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Analytische Funktionen in der Zahlentheorie
"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
Zentralblatt Mathematik, 20/2006
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
Prof. Dr. Gennadij A. Leonov, St. Petersburg State University
Dr. Volker Reitmann, MPI for the Physics of Complex Systems, Dresden
| SKU | Unavailable |
| ISBN 13 | 9783519004370 |
| ISBN 10 | 3519004372 |
| Title | Dimension Theory for Ordinary Differential Equations |
| Author | Vladimir A Boichenko |
| Series | Teubner-Texte Zur Mathematik |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Fachmedien Wiesbaden |
| Year published | 2005-12-08 |
| Number of pages | 443 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |