Mathematical Sciences Classification System

37Dxx - Dynamical systems with hyperbolic behavior

  • 37D05
    Hyperbolic orbits and sets
  • 37D10
    Invariant manifold theory
  • 37D15
    Morse-Smale systems
  • 37D20
    Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
  • 37D25
    Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
  • 37D30
    Partially hyperbolic systems and dominated splittings
  • 37D35
    Thermodynamic formalism, variational principles, equilibrium states
  • 37D40
    Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
  • 37D45
    Strange attractors, chaotic dynamics
  • 37D50
    Hyperbolic systems with singularities (billiards, etc.)
  • 37D99
    None of the above, but in this section

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