Geometric Dynamics

Inhaltsverzeichnis

• An index for the global continuation of relatively isolated sets of periodic orbits.
• Unremovable closed orbits.
• On local entropy.
• Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields.
• An extension of Peixoto's 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 Pesin's 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 vectorfields on open manifolds.
• Dynamics of certain skew products.
• A note on the inclination Lemma (?-Lemma) and Feigenbaum's 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.