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Geometric dynamics : proceedings of the international symposium, held at the Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil, July-August 1981 / edited by J. Palis Jr.

Contributor(s): Material type: TextTextLanguage: English, French Series: Lecture notes in mathematics (Springer-Verlag) ; 1007.Publication details: Berlin ; New York : Springer-Verlag, 1983.Description: 1 online resource (ix, 827 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540409694
  • 3540409696
Subject(s): Genre/Form: Additional physical formats: Print version:: Geometric dynamics.DDC classification:
  • 515.9 22
LOC classification:
  • QA3 .L28 no. 1007 QA614
Other classification:
  • 31.55
  • 27
  • 31.65
  • 58-06
  • AST YYN TZ
Online resources:
Contents:
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 vector fields 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.
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  • digitized 2010 HathiTrust Digital Library committed to preserve
  • HathiTrust Shared Print commitment 2017
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Print version record.

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 vector fields 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.

Includes bibliographical references.

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