Dynamical Systems Valparaiso 1986: Proceedings of a Symposium held in Valparaiso, Chile, Nov. 24–29, 1986

J. Billeke, M. Wallace (auth.), Rodrigo Bamón, Rafael Labarca, Jacob Palis Jr. (eds.)3540500162, 9783540500162

This volume contains original research papers on topics central to Dynamical Systems, such as fractional dimensions (Hausdorff dimension, limity capacity) and limit cycles of polynomial vector fields concerning the well-known Dulac and Hilbert’s 16th problems. Stability and bifurcations, intermittency, normal forms, Anosov flows and foliations are also themes treated in the papers. Many of the authors are renowned for their important contributions to the field. This volume should be of much interest to people working in dynamical systems, including, physicists, biologists and engineers.

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Table of contents :
Bifurcationss of codimension one singularities of tangent vector fields on Whitney’s umbrella….Pages 1-11
Hereroclinic bifurcation in banach spaces….Pages 12-37
Quasi-homogeneous vector fields of degree 2 in ℝ 3 ….Pages 38-46
Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems….Pages 47-58
Codimension on Anosov flows and suspensions….Pages 59-72
Foliations on surfaces having exceptional leaves….Pages 73-85
The hausdorff dimension of invariant probabilities of rational maps….Pages 86-117
Asymptotic behavior of solutions to abstract evolution equations….Pages 118-139
Developpement asymptotique de l’application retour d’un polycycle….Pages 140-149
On the continuity of Hausdorff dimension and limit capacity for horseshoes….Pages 150-160
A note on finite cyclicity property and Hilbert’s 16th. Problem….Pages 161-168
Vector fields near the boundary of a 3-manifold….Pages 169-195
Limit capacity and hausdorff dimension of dynamically defined cantor sets….Pages 196-212
Intermittancy: Global aspects….Pages 213-239
Normal forms for deterministic and stochastic systems….Pages 240-250