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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.
List of contents
Bifurcationss of codimension one singularities of tangent vector fields on Whitney's umbrella.- Hereroclinic bifurcation in banach spaces.- Quasi-homogeneous vector fields of degree 2 in ?3.- Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems.- Codimension on Anosov flows and suspensions.- Foliations on surfaces having exceptional leaves.- The hausdorff dimension of invariant probabilities of rational maps.- Asymptotic behavior of solutions to abstract evolution equations.- Developpement asymptotique de l'application retour d'un polycycle.- On the continuity of Hausdorff dimension and limit capacity for horseshoes.- A note on finite cyclicity property and Hilbert's 16th. Problem.- Vector fields near the boundary of a 3-manifold.- Limit capacity and hausdorff dimension of dynamically defined cantor sets.- Intermittancy: Global aspects.- Normal forms for deterministic and stochastic systems.
