• Corpus ID: 15963666

The Duffing – Van der Pol Equation : Metamorphoses of Resonance Curves

@inproceedings{Kyzio2015TheD,
  title={The Duffing – Van der Pol Equation : Metamorphoses of Resonance Curves},
  author={Janusz B. Kyzioł and Andrzej Okniński},
  year={2015}
}
We study dynamics of the Duffing–Van der Pol driven oscillator. Periodic steady-state solutions of the corresponding equation are determined within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude on forcing frequency as an implicit function, referred to as resonance curve or amplitude profile. Equations for singular points of resonance curves are solved exactly. We investigate metamorphoses of the computed amplitude profiles induced by changes of control parameters… 
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7 Citations
Background Citations
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Methods Citations
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