Singularities & dynamical systems : proceedings of the International Conference on Singularities and Dynamical Systems, Heraklion, Greece, 30 August-6 September 1983

This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests. 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