Abstract
Canard explosion is a kind of complex temporal behavior and is ubiquitous in excitable systems. It is associated with an abrupt change of amplitude and period of an oscillatory trajectory in a very narrow interval of a control parameter. We have analyzed in the present paper the behavior of canard explosion that is near a supercritical Hopf bifurcation and its response to white noise in a temporal model of CO oxidation on platinum surface. We have found that the presence of canard explosion gives rise to internal signal stochastic bi-resonance, thus demonstrating a novel functional feature of noise: selective amplifying signals with different periods.
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Zhao, G., Hou, Z. & Xin, H. Canard explosion and internal signal stochastic bi-resonance in the CO oxidation on platinum surface. SCI CHINA SER B 49, 133–139 (2006). https://doi.org/10.1007/s11426-006-0133-y
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DOI: https://doi.org/10.1007/s11426-006-0133-y