Mathematical Sciences Classification System
70Kxx - Nonlinear dynamics
[See also 34Cxx, 37-XX]
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70K05Phase plane analysis, limit cycles
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70K20Stability
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70K25Free motions
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70K28Parametric resonances
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70K30Nonlinear resonances
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70K40Forced motions
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70K42Equilibria and periodic trajectories
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70K43Quasi-periodic motions and invariant tori
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70K44Homoclinic and heteroclinic trajectories
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70K45Normal forms
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70K50Bifurcations and instability
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70K55Transition to stochasticity (chaotic behavior) [See also 37D45]
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70K60General perturbation schemes
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70K65Averaging of perturbations
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70K70Systems with slow and fast motions
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70K75Nonlinear modes
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70K99None of the above, but in this section