Coherence and stochastic resonance in a birhythmic van der Pol system

René Yamapi (), André Chéagé Chamgoué, Giovanni Filatrella and Paul Woafo
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René Yamapi: Fundamental Physics Laboratory, Department of Physics, Faculty of Science, University of Douala
André Chéagé Chamgoué: Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I
Giovanni Filatrella: Dept. of Sciences and Technology and Salerno unit of CNSIM, University of Sannio
Paul Woafo: Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 8, 1-16

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1140/epjb/e2017-80118-4

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