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Geometric methods for discrete dynamical systems /

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to des...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Easton, Robert W., 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Oxford University Press, 1998.
Colección:Oxford engineering science series ; 50.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1 Examples; 2 Dynamical Systems; 3 Hyperbolic Fixed Points; 4 Isolated Invariant Sets and Isolating Blocks; 5 The Conley Index; 6 Symplectic Maps; 7 Invariant Measures; Appendix A: Metric Spaces; Appendix B: Numerical Methods for Ordinary Differential Equations; Appendix C: Tangent Bundles, Manifolds, and Differential Forms; Appendix D: Symplectic Manifolds; Appendix E: Algebraic Topology; References; Index.