Coherence and stochastic resonance in a birhythmic van der Pol system |
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| Authors: | René Yamapi André Chéagé Chamgoué Giovanni Filatrella Paul Woafo |
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| Institution: | 1.Fundamental Physics Laboratory, Department of Physics, Faculty of Science, University of Douala,Douala,Cameroon;2.Max Planck Institute for Mathematics in the Sciences,Leipzig,Germany;3.Laboratory of Modeling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I,Yaoundé,Cameroon;4.Dept. of Sciences and Technology and Salerno unit of CNSIM, University of Sannio,Benevento,Italy |
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| 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. |
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