Mathematical Sciences Classification System
37Dxx - Dynamical systems with hyperbolic behavior
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37D05Hyperbolic orbits and sets
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37D10Invariant manifold theory
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37D15Morse-Smale systems
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37D20Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
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37D25Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
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37D30Partially hyperbolic systems and dominated splittings
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37D35Thermodynamic formalism, variational principles, equilibrium states
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37D40Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
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37D45Strange attractors, chaotic dynamics
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37D50Hyperbolic systems with singularities (billiards, etc.)
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37D99None of the above, but in this section