70Kxx Nonlinear dynamics [See also 34Cxx, 37-XX]
- 70K05 Phase plane analysis, limit cycles
- 70K20 Stability
- 70K25 Free motions
- 70K28 Parametric resonances
- 70K30 Nonlinear resonances
- 70K40 Forced motions
- 70K42 Equilibria and periodic trajectories
- 70K43 Quasi-periodic motions and invariant tori
- 70K44 Homoclinic and heteroclinic trajectories
- 70K45 Normal forms
- 70K50 Bifurcations and instability
- 70K55 Transition to stochasticity (chaotic behavior) [See also 37D45]
- 70K60 General perturbation schemes
- 70K65 Averaging of perturbations
-
70K70 Systems with slow and fast motions
(1)
- 70K75 Nonlinear modes
- 70K99 None of the above, but in this section