摘要
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.
Canard explosion is a kind of complex temporal behavior and is ubiquitous inexcitable systems. It is associated with an abrupt change of amplitude and period of an oscillatorytrajectory in a very narrow interval of a control parameter. We have analyzed in the present paperthe behavior of canard explosion that is near a supercritical Hopf bifurcation and its response towhite noise in a temporal model of CO oxidation on platinum surface. We have found that the presenceof canard explosion gives rise to internal signal stochastic bi-resonance, thus demonstrating anovel functional feature of noise: selective amplifying signals with different periods.
基金
This work was supported by the National Natural Science Foundation of China (Grant Nos. 20203017 & 20433050)
the Foundation for the Author of National Excellent Doctorial Dissertation of China (FANEDD).
