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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
• 6
  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