Geometric Dynamics

Proceedings of the International Symposium, held at the Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brasil, July - August 1981

840 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Reelle Analysis, Real-Variablen
• ISBN: 9783540123361
• Sprache: Englisch
• Erscheinungsdatum: 01.09.1983
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: J. Jr. Palis