Mathematical Sciences Classification System

37Cxx - Smooth dynamical systems: general theory
[See also 34Cxx, 34Dxx]

  • 37C05
    Smooth mappings and diffeomorphisms
  • 12
    37C10
    Vector fields, flows, ordinary differential equations
  • 3
    37C15
    Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
  • 4
    37C20
    Generic properties, structural stability
  • 5
    37C25
    Fixed points, periodic points, fixed-point index theory
  • 4
    37C27
    Periodic orbits of vector fields and flows
  • 5
    37C29
    Homoclinic and heteroclinic orbits
  • 7
    37C30
    Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
  • 37C35
    Orbit growth
  • 7
    37C40
    Smooth ergodic theory, invariant measures [See also 37Dxx]
  • 15
    37C45
    Dimension theory of dynamical systems
  • 2
    37C50
    Approximate trajectories (pseudotrajectories, shadowing, etc.)
  • 2
    37C55
    Periodic and quasiperiodic flows and diffeomorphisms
  • 4
    37C60
    Nonautonomous smooth dynamical systems [See also 37B55]
  • 37C65
    Monotone flows
  • 10
    37C70
    Attractors and repellers, topological structure
  • 10
    37C75
    Stability theory
  • 5
    37C80
    Symmetries, equivariant dynamical systems
  • 9
    37C85
    Dynamics of group actions other than ${\bf Z}$ and ${\bf R}$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]
  • 37C99
    None of the above, but in this section

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