info:eu-repo/semantics/article
Synchronization of a forced self-sustained Duffing oscillator
Date
2014-12Registration in:
Zanette, Damian Horacio; Arroyo, Sebastián Ismael; Synchronization of a forced self-sustained Duffing oscillator; EDP Sciences; European Physical Journal: Special Topics; 223; 13; 12-2014; 2807-2817
1951-6355
1951-6401
CONICET Digital
CONICET
Author
Zanette, Damian Horacio
Arroyo, Sebastián Ismael
Abstract
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 motion is possible becomes wider as the amplitude of oscillations grows. This effect of nonlinearities may find application in technological uses of mechanical Duffing oscillators – for instance, in the design of time-keeping devices at the microscale – which we briefly review.