| 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 |