Global Theory of Dynamical Systems

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.