Global Theory of Dynamical Systems
Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18-22, 1979
Published on 1. August 1980
Book
Paperback/Softback
IX, 499 pages
978-3-540-10236-6 (ISBN)
Description
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.
More details
Series
Edition
1980 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
IX, 499 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 28 mm
Weight
774 gr
ISBN-13
978-3-540-10236-6 (9783540102366)
DOI
10.1007/BFb0086975
Schweitzer Classification
Content
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.