1.

Record Nr.

UNISA996466586503316

Titolo

Global theory of dynamical systems : proceedings of an international conference held at Northwestern University, Evanston, Illinois, June 18-22, 1979 / / edited by Z. Nitecki and C. Robinson

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1980]

©1980

ISBN

3-540-38312-3

Edizione

[1st ed. 1980.]

Descrizione fisica

1 online resource (IX, 499 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 819

Disciplina

530.1

Soggetti

Ergodic theory

Topological dynamics

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

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.