Vibrational resonance in the FitzHugh-Nagumo system with time-varying delay feedback.
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.
State Key Lab of Mechanics and Control for Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China.
D L
DL
Hu
School of Mechanical and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, People's Republic of China.
J H
JH
Yang
State Key Lab of Mechanics and Control for Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China. Electronic address: xbliu@nuaa.edu.cn.
X B
XB
Liu
D019295:Computational Biology; D005246:Feedback; D008959:Models, Neurological; D009474:Neurons; D012815:Signal Processing, Computer-Assisted; D014732:Vibration
FitzHugh–Nagumo system; High-frequency signal; Low-frequency signal.; Time-varying delay; Vibrational resonance