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37Cxx

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Smooth dynamical systems: general theory

[See also 34Cxx, 34Dxx]
  • 37C05 Smooth mappings and diffeomorphisms
  • 37C10 Vector fields, flows, ordinary differential equations
  • 37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
  • 37C20 Generic properties, structural stability
  • 37C25 Fixed points, periodic points, fixed-point index theory
  • 37C27 Periodic orbits of vector fields and flows
  • 37C29 Homoclinic and heteroclinic orbits
  • 37C30 Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
  • 37C35 Orbit growth
  • 37C40 Smooth ergodic theory, invariant measures [See also 37Dxx]
  • 37C45 Dimension theory of dynamical systems
  • 37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.)
  • 37C55 Periodic and quasiperiodic flows and diffeomorphisms
  • 37C60 Nonautonomous smooth dynamical systems [See also 37B55]
  • 37C65 Monotone flows
  • 37C70 Attractors and repellers, topological structure
  • 37C75 Stability theory
  • 37C80 Symmetries, equivariant dynamical systems
  • 37C85 Dynamics of group actions other than Z and R, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]
  • 37C99 None of the above, but in this section