1.

Record Nr.

UNISA996466771703316

Titolo

Dynamical systems : Valparaiso 1986, proceedings of a symposium held in Valparaiso, Chile, Nov. 24-29, 1986 / / edited by Rodrigo Bamon, Rafael Labarca, and Jacob Palis

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1988]

©1988

ISBN

3-540-45889-1

Edizione

[1st ed. 1988.]

Descrizione fisica

1 online resource (VIII, 256 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1331

Disciplina

515

Soggetti

Mathematical analysis

Differentiable dynamical systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.