Synchronization of a forced self-sustained Duffing oscillator

@article{Zanette2014SynchronizationOA,
  title={Synchronization of a forced self-sustained Duffing oscillator},
  author={Dami{\'a}n H. Zanette and Sebasti'an I. Arroyo},
  journal={The European Physical Journal Special Topics},
  year={2014},
  volume={223},
  pages={2807-2817}
}
We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude and frequency. First, we characterize the autonomous motion for both hardening and softening nonlinearities. Then, we analyze the oscillator’s synchronizability by an external periodic force. We find a regime where, unexpectedly, the frequency range where synchronized… 
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