Fractal dimensions for Poincar�e recurrences /

This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Afra�imovich, V. S. (Valentin Senderovich)
Otros Autores: Ugalde, E. (Edgardo), Ur�ias, J. (Jes�us)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; London : Elsevier, 2006.
Colección:Monograph series on nonlinear science and complexity ; v. 2.
Temas:
Fractals.
Poincar�e series.
Fractales.
S�eries de Poincar�e.
fractals.
MATHEMATICS > Topology.
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • Part 1: Fundamentals
  • 2. Symbolic Systems
  • 3. Geometric Constructions
  • 4. Spectrum of Dimensions for Recurrences
  • Part II: Zero-Dimensional Invariant Sets
  • 5. Uniformly Hyperbolic Repellers
  • 6. Non-Uniformly Hyperbolic Repellers
  • 7. The Spectrum for a Sticky Set
  • 8. Rhythmical Dynamics
  • Part III: One-Dimensional Systems
  • 9. Markov Maps of the Interval
  • 10. Suspended Flows
  • Part IV: Measure Theoretical Results
  • 11. Invariant Measures
  • 12. Dimensional for Measures
  • 13. The Variational Principle
  • Part V: Physical Interpretation and Applications
  • 14. Intuitive Explanation
  • 15. Hamiltonian Systems
  • 16. Chaos Synchronization
  • Part VI: Appendices
  • 17. Some Known Facts About Recurrences
  • 18. Birkhoff's Individual Theorem
  • 19. The SMB Theorem
  • 20. Amalgamation and Fragmentation
  • Index.

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