Kathleen T. Alligood, John Mallet-Paret, James A. Yorke (auth.), J. Palis Jr. (eds.)9783540123361, 3540123369
Table of contents :
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
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