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Global Theory of Dynamical Systems

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Cover of 'Global Theory of Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Morse-smale fields of geodesics
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    Chapter 2 Periodic points and topological entropy of one dimensional maps
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    Chapter 3 Ergodicity of linked twist maps
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    Chapter 4 Infinitesimal hyperbolicity implies hyperbolicity
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    Chapter 5 A qualitative singular perturbation theorem
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    Chapter 6 On a theorem of conley and smoller
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    Chapter 7 Positively expansive maps of compact manifolds
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    Chapter 8 An algorithm for finding closed orbits
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    Chapter 9 Linked twist mappings are almost anosov
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    Chapter 10 Symbolic dynamics, homology, and knots
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    Chapter 11 Anomalous anosov flows
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    Chapter 12 Efficiency vs. hyperbolicity on tori
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    Chapter 13 Dynamical behavior of geodesic fields
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    Chapter 14 The growth of topological entropy for one dimensional maps
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    Chapter 15 Separatrices, non-isolated invariant sets and the seifert conjecture
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    Chapter 16 Construction of invariant measures absolutely continuous with respect to dx for some maps of the interval
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    Chapter 17 The estimation from above for the topological entropy of a diffeomorphism
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    Chapter 18 Ergodicity in (G,σ) - extensions
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    Chapter 19 A probabilistic version of bowen — Ruelle's volume lemma
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    Chapter 20 Periodically forced relaxation oscillations
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    Chapter 21 Moduli of stability for diffeomorphisms
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    Chapter 22 Uncountably many distinct topologically hyperbolic equilibria in ℝ4
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    Chapter 23 Dynamical properties of certain non-commutative skew-products
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    Chapter 24 A note on explosive flows
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    Chapter 25 Intertwining invariant manifolds and the lorenz attractor
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    Chapter 26 Counting compatible boundary conditions
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    Chapter 27 Stable manifolds for maps
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    Chapter 28 Singular points of planar vector fields
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    Chapter 29 Gradient vectorfields near degenerate singularities
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    Chapter 30 Invariant curves near parabolic points and regions of stability
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    Chapter 31 Motion under the influence of a strong constraining force
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    Chapter 32 Conjugacies of topologically hyperbolic fixed points: A necessary condition on foliations
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    Chapter 33 Coleman's conjecture on topological hyperbolicity
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    Chapter 34 Population dynamics from game theory
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