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Shadowing in Dynamical Systems / by Sergei Yu. Pilyugin.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1706.
- Lecture Notes in Mathematics, 0075-8434 ; 1706
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Differentiable dynamical systems.
- Global Analysis and Analysis on Manifolds.
- Dynamical Systems and Ergodic Theory.
- Local Subjects:
- Global Analysis and Analysis on Manifolds.
- Dynamical Systems and Ergodic Theory.
- Physical Description:
- 1 online resource (XX, 276 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
- System Details:
- text file PDF
- Summary:
- This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.
- Contents:
- Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows
- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms
- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems
- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs
- References
- Index.
- Other Format:
- Printed edition:
- ISBN:
- 9783540484295
- Access Restriction:
- Restricted for use by site license.
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