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- Title
Coherence and stochastic resonance in a birhythmic van der Pol system.
- Authors
Yamapi, René; Chamgoué, André; Filatrella, Giovanni; Woafo, Paul
- Abstract
We consider the response to uncorrelated noise and harmonic excitation of a birhythmic van der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is characterized by two stable orbits. The noisy oscillator can be analytically mapped, with the technique of stochastic averaging, onto an ordinary bistable system with a bistable (quasi)potential. The birhythmic oscillator can also be numerically characterized through the diagnostics of coherent resonance and the signal-to-noise-ratio. The analysis shows the presence of noise-induced coherent states, influenced by the different time scales of the oscillator.
- Subjects
VAN der Pol oscillators (Physics); COHERENT states; STOCHASTIC resonance; SIGNAL-to-noise ratio; BISTABLE devices
- Publication
European Physical Journal B: Condensed Matter, 2017, Vol 90, Issue 8, p1
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2017-80118-4