Author | Pilyugin, Sergei Yu. author |
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Title | Shadowing in Dynamical Systems [electronic resource] / by Sergei Yu. Pilyugin |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1999 |
Connect to | http://dx.doi.org/10.1007/BFb0093184 |
Descript | XX, 276 p. online resource |
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