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Mathematical Sciences Classification System

70Kxx - Nonlinear dynamics
[See also 34Cxx, 37-XX]

• 70K05
  Phase plane analysis, limit cycles
• 2
  70K20
  Stability
• 70K25
  Free motions
• 70K28
  Parametric resonances
• 1
  70K30
  Nonlinear resonances
• 70K40
  Forced motions
• 70K42
  Equilibria and periodic trajectories
• 70K43
  Quasi-periodic motions and invariant tori
• 1
  70K44
  Homoclinic and heteroclinic trajectories
• 70K45
  Normal forms
• 5
  70K50
  Bifurcations and instability
• 5
  70K55
  Transition to stochasticity (chaotic behavior) [See also 37D45]
• 1
  70K60
  General perturbation schemes
• 70K65
  Averaging of perturbations
• 70K70
  Systems with slow and fast motions
• 70K75
  Nonlinear modes
• 70K99
  None of the above, but in this section