Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – August 1981

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