37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.)
37B10 Symbolic dynamics [See also 37Cxx, 37Dxx]
37B15 Cellular automata 
37B20 Notions of recurrence 
37B25 Lyapunov functions and stability; attractors, repellers 
37B30 Index theory, Morse-Conley indices
37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets
37B40 Topological entropy 
37B45 Continua theory in dynamics 
37B50 Multi-dimensional shifts of finite type, tiling dynamics 
37B55 Nonautonomous dynamical systems 
37B99 None of the above, but in this section