37Cxx

37B | 37 | 37D

Smooth dynamical systems: general theory

[See also 34Cxx, 34Dxx]

37C05Smooth mappings and diffeomorphisms
37C10Vector fields, flows, ordinary differential equations
37C15Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
37C20Generic properties, structural stability
37C25Fixed points, periodic points, fixed-point index theory
37C27Periodic orbits of vector fields and flows
37C29Homoclinic and heteroclinic orbits
37C30Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37C35Orbit growth
37C40Smooth ergodic theory, invariant measures
[See also 37Dxx]
37C45Dimension theory of dynamical systems
37C50Approximate trajectories (pseudotrajectories, shadowing, etc.)
37C55Periodic and quasiperiodic flows and diffeomorphisms
37C60Nonautonomous smooth dynamical systems
[See also 37B55]
37C65Monotone flows
37C70Attractors and repellers, topological structure
37C75Stability theory
37C80Symmetries, equivariant dynamical systems
37C85Dynamics of group actions other than Z and R, and foliations
[See mainly 22Fxx, and also 57R30, 57Sxx]
37C99None of the above, but in this section