Comput. Biol. Med. - Vibrational resonance in the FitzHugh-Nagumo system with time-varying delay feedback.

Tópicos

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Resumo

In the present paper, the phenomenon of vibrational resonance in a time-varying delayed FitzHugh-Nagumo system that is driven by two-frequency periodic signals is reported. Via a numerical simulation, the periodic vibrational resonances are found to be induced by the time-varying delay feedback under the condition that the delayed feedback strength is small, and then along with the increase of the delayed feedback strength K within the slow period (i.e., the period of low-frequency signal), the single resonance turns into multiple resonances. However, if the delayed feedback strength K is big enough, the resonance no longer occurs. More interestingly, the multiple resonances can also turn into a single resonance in a cycle by modulating the amplitude F of high-frequency signal. Furthermore, both the resonance region and the resonance amplitude are found to be able to be controlled by the time-varying delay. Finally, it is found that the regular motion of the system can be enhanced by the time-varying delay feedback and then more regular motion will present if the resonance does not occur.

Resumo Limpo

present paper phenomenon vibrat reson timevari delay fitzhughnagumo system driven twofrequ period signal report via numer simul period vibrat reson found induc timevari delay feedback condit delay feedback strength small along increas delay feedback strength k within slow period ie period lowfrequ signal singl reson turn multipl reson howev delay feedback strength k big enough reson longer occur interest multipl reson can also turn singl reson cycl modul amplitud f highfrequ signal furthermor reson region reson amplitud found abl control timevari delay final found regular motion system can enhanc timevari delay feedback regular motion will present reson occur

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