Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – August 1981 [1 ed.]
9780387123363, 0387123369 [DJVU]
Table of contents : An index for the global continuation of relatively isolated sets of periodic orbits....Pages 1-21 Unremovable closed orbits....Pages 22-29 On local entropy....Pages 30-38 Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields....Pages 39-59 An extension of Peixoto's structural stability theorem to open surfaces with finite genus....Pages 60-87 Some remarks about homoclinic points of second order differential equations....Pages 88-95 On the local classification of holomorphic vector fields....Pages 96-103 On surfaces of constant mean curvature in a three-dimensional space of constant curvature....Pages 104-108 A periodic orbit index which is a bifurcation invariant....Pages 109-131 An index theory for periodic solutions of a Hamiltonian system....Pages 132-145 Foliations that are not approximable by smoother ones....Pages 146-176 A proof of Pesin's stable manifold theorem....Pages 177-215 Proprietes de genericite des transformations canoniques....Pages 216-260 Periodic points and twisted coefficients....Pages 261-293 Statistical properties of foliations....Pages 294-299 Dehn surgery on Anosov flows....Pages 300-307 Smoothability of cherry flows on two-manifolds....Pages 308-331 An approximation theorem for immersions with stable configurations of lines of principal curvature....Pages 332-368 Currents on a circle invariant by a fuchsian group....Pages 369-378 Infinite dimensional dynamical systems....Pages 379-400 Flows on S 3 and R 3 without periodic orbits....Pages 401-407 Generalizations of some theorems of small divisors to non archimedean fields....Pages 408-447 The topology of linear ℂ m -flows on ℂ n ....Pages 448-462 Lyapunov functions and stability of geodesic flows....Pages 463-479 Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case)....Pages 480-497 An example of polynomial interpolation of an hyperbolic attractor....Pages 498-511 Algebraic problems arising from Morse-Smale dynamical systems....Pages 512-521 Lyapounov exponents and stable manifolds for compact transformations....Pages 522-577 Hyperbolic dynamical systems with isolated points....Pages 578-583 On moduli of stability of vector fields on open manifolds....Pages 584-610 Dynamics of certain skew products....Pages 611-629 A note on the inclination Lemma (λ-Lemma) and Feigenbaum's rate of approach....Pages 630-635 A special C r Closing Lemma....Pages 636-650 Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients....Pages 651-662 Small random perturbations and the definition of attractors....Pages 663-676 On the existence of invariant curves of twist mappings of an annulus....Pages 677-718 On the average cost of solving polynomial equations....Pages 719-724 Conformal dynamical systems....Pages 725-752 Quadratic vector fields with finitely many periodic orbits....Pages 753-766 Absolutely continuous invariant measures for rational mappings of the sphere S 2 ....Pages 767-783 The role of qualitative dynamics in applied sciences....Pages 784-788 Rate of approach to minima and sinks the C 2 Axiom a no cycle case....Pages 789-813 C 1 -conjugaison des difféomorphismes du cercle....Pages 814-827