دانلود کتاب Singularities and dynamical systems

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Front Cover......Page 1
Singulaities & Dynamical Systems......Page 4
Copyright Page......Page 5
Contents......Page 8
Preface......Page 6
CHAPTER 1. LA MARCHE AU CHAOS VUE PAR UN TOPOLOGUE ......Page 10
CHAPTER 2. HAMILTONIAN-LIKE PHENOMENA IN SADDLE-NODE BIFURCATIONS OF INVARIANT CURVES FOR PLANE DIFFEOMORPHISMS ......Page 16
CHAPTER 3. THE DYNAMICS OF A UIFFEOMORPHISM AND THE RIGIDITY OF ITS CENTRALIZER ......Page 24
CHAPTER 4. TRANSLATION REPRESENTATIONS OF SCATTERING FOR RATlONAL MAPS ......Page 32
CHAPTER 5. On the Tk->T(k+1) Bifurcation problem......Page 44
CHAPTER 6. HOLDER CONTINUOUS PATHS AND HYPERBOLIC AUTOMORPHISMS OF T3......Page 56
CHAPTER 7. A LABYRINTH AND OTHER WAYS TO LOSE ONES WAY......Page 62
CHAPTER 8. MODULI OF STABILITY FOR GRADIENTS......Page 78
CHAPTER 9. SINGULARITlES OF GRADIENT VECTOR FIELDS AND MODULI......Page 90
CHAPTER 10. GEOMETRY OF TRIPLES OF VECTOR FIELDS IN R4......Page 98
CHAPTER 11. CYCLES LIMITES, ETUDE LOCALE......Page 108
CHAPTER 12. ANALYTIC CLASSIFICATION OF RESONANT SADDLES AND FOC I......Page 118
CHAPTER 13. SINGULARITIES OF HOLOMORPHIC DIFFERENTIAL EQUATIONS......Page 146
CHAPTER 14. HOLONOMIE EVENESCENTE UES EQUATIONS DIFFERENTlELLES DEGENEREES TRANSVERSES......Page 170
CHAPTER 15. SINGULARITIES OF CODlMENSlON ONE COMPLEX FOLIATIONS A PARTIAL SURVEY......Page 184
CHAPTER 16. DIFFERENTIAL GEOMETRY AND DYNAMICS : TWO EXAMPLES......Page 196
CHAPTER 17. EVOLUTION DYNAMlQUE D'UN SYSTEME MECANIQUE EN PRESENCE DE SINGULARlTES GENERIQUES......Page 218
CHAPTER 18. PSEUDO-METRlQUES GENERIQUES ET THEOREME DE GAUSS-BONNET EN DIMENSION 2......Page 228
CHAPTER 19. THE INVARIANCE OF MILNOR'S NUMBER IMPLIES THE INVARlANCE OF THE TOPOLOGlCAL TYPE IN DIMENSION THREE......Page 248
CHAPTER 20. REAL CLEMENS STRUCTURES......Page 258
CHAPTER 21. RIGIDlTY OF WEBS AND FAMILIES OF HYPERSURFACES......Page 280
CHAPTER 22. BlFURCATlON FROM AN ORBIT OF SYMMETRY......Page 294
CHAPTER 23. A PEDESTRIAN PROOF OF THE HOPF-BlFURCATION THEOREM......Page 304
CHAPTER 24. IN PURSUIT OF BIRKHOFF'S CHAOTIC ATTRACTOR......Page 312
CHAPTER 25. BIFURCATlONS AND CHAOS IN FORCED VAN DER POL SYSTEMS......Page 322
CHAPTER 26. CHAOS IN EXPERIMENTAL CHEMICAL SYSTEMS :TWO EXAMPLES......Page 354
CHAPTER 27. A SINGULARITY ANALYSIS OF INTEGRABlLlTY AND CHAOS IN DYNAMlCAL SYSTEMS......Page 362
CHAPTER 28. BIFURCATIONS IN HAMlLTONlAN DYNAMlCAL SYSTEMS......Page 384
CHAPTER 29. A GUIDE TO THE HENON-HEILES HAMlLTONlAN......Page 394
CHAPTER 30. SOLITONS IN NONLINEAR ATOMIC CHAINS......Page 406
CHAPTER 31. DECAYlNG STATES IN QUANTUM SYSTEMS......Page 448
List of participants in the Conference......Page 464