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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

MARC

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100 1 |a Easton, Robert W.,  |d 1941- 
245 1 0 |a Geometric methods for discrete dynamical systems /  |c Robert W. Easton. 
260 |a New York :  |b Oxford University Press,  |c 1998. 
300 |a 1 online resource (xiii, 157 pages) :  |b illustrations 
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490 1 |a Oxford engineering science series ;  |v 50 
504 |a Includes bibliographical references (pages 152-154) and index. 
505 0 |a 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. 
520 |a 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 describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book wi. 
588 0 |a Print version record. 
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650 0 |a Differentiable dynamical systems. 
650 0 |a Iterative methods (Mathematics) 
650 6 |a Dynamique différentiable. 
650 6 |a Itération (Mathématiques) 
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650 7 |a Iterative methods (Mathematics)  |2 fast 
650 7 |a Diskretes System  |2 gnd 
650 7 |a Dynamique différentiable.  |2 ram 
650 7 |a Itération (mathématiques)  |2 ram 
776 0 8 |i Print version:  |a Easton, Robert W., 1941-  |t Geometric methods for discrete dynamical systems.  |d New York : Oxford University Press, 1998  |w (DLC) 97000870 
830 0 |a Oxford engineering science series ;  |v 50. 
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