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Dynamics Reported

Expositions in Dynamical Systems
BuchKartoniert, Paperback
269 Seiten
Englisch
Springererschienen am18.09.2011Softcover reprint of the original 1st ed. 1995
Topics are advanced, while detailed exposition of ideas, restriction to typical results - rather than the most general one- and, last but not least, lucid proofs help to gain the utmost degree of clarity. 1 Preliminaries . . . . . . . . . . . Historical Remarks . A Short Description of the Approach Presented . Solenoidal Sets . 4 Basic Sets .mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
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Produkt

KlappentextTopics are advanced, while detailed exposition of ideas, restriction to typical results - rather than the most general one- and, last but not least, lucid proofs help to gain the utmost degree of clarity. 1 Preliminaries . . . . . . . . . . . Historical Remarks . A Short Description of the Approach Presented . Solenoidal Sets . 4 Basic Sets .
Details
ISBN/GTIN978-3-642-64748-2
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2011
Erscheinungsdatum18.09.2011
AuflageSoftcover reprint of the original 1st ed. 1995
ReiheDynamics Reported. New Series
Seiten269 Seiten
SpracheEnglisch
Gewicht434 g
IllustrationenIX, 269 p.
Artikel-Nr.18230329

Inhalt/Kritik

Inhaltsverzeichnis
The "Spectral" Decomposition for One-Dimensional Maps.- 1. Introduction and Main Results.- 2. Technical Lemmas.- 3. Solenoidal Sets.- 4. Basic Sets.- 5. The Decomposition.- 6. Limit Behavior for Maps Without Wandering Intervals.- 7. Topological Properties of the Sets Per f, ?(f) and ?(f).- 8. Transitive and Mixing Maps.- 9. Corollaries Concerning Periods of Cycles.- 10. Invariant Measures.- 11. Discussion of Some Recent Results of Block and Coven and Xiong Jincheng.- References.- A Constructive Theory of Lagrangian Tori and Computer-assisted Applications.- 1. Introduction.- 2. Quasi-Periodic Solutions and Invariant Tori for Lagrangian Systems: Algebraic Structure.- 3. Quasi-Periodic Solutions and Invariant Tori for Lagrangian Systems: Quantitative Analysis.- 4. KAM Algorithm.- 5. A KAM Theorem.- 6. Application of the KAM Algorithm to Problems with Parameters.- 7. Power Series Expansions and Estimate of the Error Term.- 8. Computer Assisted Methods.- 9. Applications: Three-Dimensional Phase Space Systems.- 10. Applications: Symplectic Maps.- Appendices.- References.- Ergodicity in Hamiltonian Systems.- 0. Introduction.- 1. A Model Problem.- 2. The Sinai Method.- 3. Proof of the Sinai Theorem.- 4. Sectors in a Linear Symplectic Space.- 5. The Space of Lagrangian Subspaces Contained in a Sector.- 6. Unbounded Sequences of Linear Monotone Maps.- 7. Properties of the System and the Formulation of the Results.- 8. Construction of the Neighborhood and the Coordinate System.- 9. Unstable Manifolds in the Neghborhood U.- 10. Local Ergodicity in the Smooth Case.- 11. Local Ergodicity in the Discontinous Case.- 12. Proof of Sinai Theorem.- 13. Tail Bound´.- 14. Applications.- References.- Linearization of Random Dynamical Systems.- 1. Introduction.- 2. Random DifferenceEquations.- 3. Random Dynamical Systems.- 4. Local Results.- 5. Appendix.- References.mehr