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Global Theory of Dynamical Systems

Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18-22, 1979

Z. Nitecki, C. Robinson (Herausgeber)

Buch | Softcover
IX, 499 Seiten
1980 | 1980
Springer Berlin (Verlag)
978-3-540-10236-6 (ISBN)

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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.

Erscheint lt. Verlag 1.8.1980
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo IX, 499 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 717 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte algorithm • Dynamical Systems • Dynamisches System • Dynamische Systeme • Game Theory
ISBN-10 3-540-10236-1 / 3540102361
ISBN-13 978-3-540-10236-6 / 9783540102366
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