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  • 70-XX Mechanics of particles and systems
  • 70Kxx Nonlinear dynamics
  • 70K28 Parametric resonances

70Kxx Nonlinear dynamics

  • 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)
  • 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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