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

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