000 00385nam a2200145Ia 4500
999 _c179847
_d179847
020 _a0444521895
040 _cCUS
082 _a514.742
_bAFR/F
245 0 _aFractal Dimensions for Poincare Recurrences,/
_cAfraimovich,Valentin
250 _a1
260 _aAmsterdam:
_bElsevier Science,
_c2006-.
300 _a258
505 _a 1. Introduction Part 1: Fundamentals 2. Symbolic Systems3. Geometric Constructions4. Spectrum of Dimensions for Recurrences Part II: Zero-Dimensional Invariant Sets 5. Uniformly Hyperbolic Repellers6. Non-Uniformly Hyperbolic Repellers7. The Spectrum for a Sticky Set8. Rhythmical Dynamics Part III: One-Dimensional Systems 9. Markov Maps of the Interval10. Suspended Flows Part IV: Measure Theoretical Results 11. Invariant Measures12. Dimensional for Measures13. The Variational Principle Part V: Physical Interpretation and Applications 14. Intuitive Explanation15. Hamiltonian Systems16. Chaos Synchronization Part VI: Appendices 17. Some Known Facts About Recurrences18. Birkhoff's Individual Theorem19. The SMB Theorem20. Amalgamation and Fragmentation Index
942 _cAC8