International Conference On Dynamical Systems

1. Auflage 1997
ISBN: 978-0-582-30296-9
Verlag: Chapman and Hall/CRC

Buch, Englisch, 224 Seiten, Format (B × H): 169 mm x 244 mm, Gewicht: 454 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov.

This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.

Autoren/Hrsg.

Ledrappier, F.

Newhouse, Sheldon

Lewowicz, Jorge

Weitere Mitwirkende

Lawson, Blaine

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Singular cycles of vector fieldsOn the growth of the number of geodesics joining two pointsDirectional flows and strong recurrence for polygonal billiardsA note on one dimensional dynamics associated to singular cyclesCentral limit theorem for deterministic systemsOn necessary and sufficient conditions for uiniform integrability of families of Hamiltonian systemsThe Lyapunov exponents of generic area preserving diffeomorphismsLagrangian flows: the dynamics of globally minimizing orbitsAnosov geodesic flows and twisted symplectic structuresEntropy and geodesic arcs on surfacesOn measure and Hausdorff dimension of Julia sets for holomorphic Collet-Eckmann mapsStable ergodicity and partial hyperbolicitySharp zeta functions for smooth interval mapsLyapunov functions and Anosov flowsHenon attractors: SBR measures and Dirac measures for sinksTwo dimensional generalizations of Haar basesSpaces that won's say no