Noise induced breather generation in a sine-Gordon chain

Abstract : We consider a sine-Gordon chain driven sinusoidally at one end. In the absence of noise, there exists a well known critical value of the amplitude beyond which breather modes can be generated via the phenomenon of supratransmission. We consider values of the driving amplitude below the critical amplitude such that no breather propagates in the medium. We show that noise induces breather generation with a given probability depending on the noise intensity. We also propose a bifurcation diagram which extends the supratransmission effect to a more realistic signal, namely a noisy sinusoidal excitation. We finally discuss some promising signal processing applications that can be developed by taking into account the contribution of noise in the media sharing this supratransmission phenomenon.
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Contributor : Saverio Morfu <>
Submitted on : Tuesday, December 13, 2011 - 4:51:22 PM
Last modification on : Wednesday, April 17, 2019 - 3:00:16 PM

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Bertrand Bodo, Saverio Morfu, Patrick Marquié, Bernard Essimbi. Noise induced breather generation in a sine-Gordon chain. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2009, pp.P01026. ⟨10.1088/1742-5468/2009/01/P01026⟩. ⟨hal-00651499⟩

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