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 Unremovable closed orbits On local entropy Infinitely manymoduli of strong stability in divergence free unfoldings of singularities of vector fields An extension of Peixotos structural stability theorem to open surfaces with finite genus Some remarks about homoclinic points of second order differential equations On the local classification of holomorphic vector fields On surfaces of constant mean curvature in a three dimensional space of constant curvature A periodic orbit index which is a bifurcation invariant An index theory for periodic solutions of a Hamiltonian system Foliations that are not approximable by smoother ones A proof of Pesins stable manifold theorem Proprietes de genericite des transformations canoniques Periodic points and twisted coefficients Statistical properties of foliations Dehn surgery on Anosov flows Smoothability of cherry flows on two manifolds An approximation theorem for immersions with stable configurations of lines of principal curvature Currents on a circle invariant by a fuchsian group Infinite dimensional dynamical systems Flows on S3 and R3 without periodic orbits Generalizations of some theorems of small divisors to non archimedean fields The topology of linear m flows on n Lyapunov functions and stability of geodesic flows Finite determinacy of germs of integrable 1 forms in dimension 3 (a special case) An example of polynomial interpolation of an hyperbolic attractor Algebraic problems arising from Morse Smale dynamical systems Lyapounov exponents and stable manifolds for compact transformations Hyperbolic dynamical systems with isolated points On moduli of stability of vector fields on open manifolds Dynamics of certain skew products A note on the inclination Lemma ( Lemma) and Feigenbaums rate of approach A special Cr Closing Lemma Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients Small random perturbations and the definition of attractors On the existence of invariant curves of twist mappings of an annulus On the average cost of solving polynomial equations Conformal dynamical systems Quadratic vector fields with finitely many periodic orbits Absolutely continuous invariant measures for rational mappings of the sphere S2 The role of qualitative dynamics in applied sciences Rate of approach to minima and sinks the C2 Axiom a no cycle case C1 conjugaison des difféomorphismes du cercle.