Global Theory of Dynamical Systems

Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18-22, 1979
1980
ISBN: 978-3-540-10236-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 819, 499 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1580 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Robinson, C.

Nitecki, Z.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Physik Allgemein
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Morse-smale fields of geodesics.- Periodic points and topological entropy of one dimensional maps.- Ergodicity of linked twist maps.- Infinitesimal hyperbolicity implies hyperbolicity.- A qualitative singular perturbation theorem.- On a theorem of conley and smoller.- Positively expansive maps of compact manifolds.- An algorithm for finding closed orbits.- Linked twist mappings are almost anosov.- Symbolic dynamics, homology, and knots.- Anomalous anosov flows.- Efficiency vs. hyperbolicity on tori.- Dynamical behavior of geodesic fields.- The growth of topological entropy for one dimensional maps.- Separatrices, non-isolated invariant sets and the seifert conjecture.- Construction of invariant measures absolutely continuous with respect to dx for some maps of the interval.- The estimation from above for the topological entropy of a diffeomorphism.- Ergodicity in (G,?)-extensions.- A probabilistic version of bowen — Ruelle's volume lemma.- Periodically forced relaxation oscillations.- Moduli of stability for diffeomorphisms.- Uncountably many distinct topologically hyperbolic equilibria in ?4.- Dynamical properties of certain non-commutative skew-products.- A note on explosive flows.- Intertwining invariant manifolds and the lorenz attractor.- Counting compatible boundary conditions.- Stable manifolds for maps.- Singular points of planar vector fields.- Gradient vectorfields near degenerate singularities.- Invariant curves near parabolic points and regions of stability.- Motion under the influence of a strong constraining force.- Conjugacies of topologically hyperbolic fixed points: A necessary condition on foliations.- Coleman's conjecture on topological hyperbolicity.- Population dynamics from game theory.