Dynamical systems, Valparaiso 1986 : proceedings of a symposium held in Valparaiso, Chile, Nov. 24-29, 1986
著者
書誌事項
Dynamical systems, Valparaiso 1986 : proceedings of a symposium held in Valparaiso, Chile, Nov. 24-29, 1986
（Lecture notes in mathematics, 1331 . Instituto de Mathemática Pura e Aplicada,
Springer-Verlag, c1988
- : gw
- : us
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注記
Proceedings of the 2nd International School of Dynamical Systems, which took place at the Universidad Tecnica Federico Santa Maria - Valparaiso
Includes bibliographies
内容説明・目次
内容説明
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.
目次
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.
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