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