Smooth dynamical systems (Q2718620)
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scientific article; zbMATH DE number 1596427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth dynamical systems |
scientific article; zbMATH DE number 1596427 |
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7 May 2001
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smooth dynamical systems
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omega-stability
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density of the set of structurally stable dynamical systems
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Morse-Smale systems
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Anosov systems
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limit sets of the orbits
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non-wandering sets
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first order differential equations
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existence and uniqueness of integral curves
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linear systems
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generic property
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singular points of vector fields
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neighbourhoods of closed orbits
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Poincaré map
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Lyapunov stability
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index of singular points
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stable and unstable manifolds
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Smooth dynamical systems (English)
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This is a reprint of M. C. Irwin's book [Smooth dynamical system. Pure and Applied Mathematics, Vol. 94. London etc.: Academic Press (1980; Zbl 0465.58001)]. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area.
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