Signal transmission by vibrational resonance in one-way coupled bistable systems

Abstract

Low-frequency signal transmission in one-way coupled bistable systems subject to a high-frequency force is studied. Two cases including the high-frequency force on all sites (case 1) and only on the first site (case 2) are considered. In these two cases, vibrational resonance induced by the high-frequency force can play an active role to effectively improve the signal transmission, and undamped signal transmission can be found in a broad parameter region. The combinative action of injected low-frequency signal, high-frequency driving, and coupling is of importance. Our findings suggest that high-frequency signal could be properly used in low-frequency signal transmission, and especially the implementation of high-frequency force simply on the first site for case 2 is meaningful for its simplicity and high efficiency.

Vibrational resonance in the Morse oscillator

“…Frequency-resonance-enhanced vibrational [22] and undamped signal propagation in oneway coupled oscillators [23] and maps [24] assisted by biharmonic force are found to occur as well.…”

Vibrational subharmonic and superharmonic resonances

“…This phenomenon was named vibrational resonance (VR) in a paper published by Landa and McClintock in the year 2000 [5]. In the last years, VR has been investigated in many disciplines due to the importance of the two-frequency excitations existing in many different fields [6][7][8][9][10][11]. Most of the work done on VR has been focused on the resonance at the low-frequency excitation.…”

Breakup of Spiral Wave and Order‐Disorder Spatial Pattern Transition Induced by Spatially Uniform Cross‐Correlated Sine‐Wiener Noises in a Regular Network of Hodgkin‐Huxley Neurons

“…Furthermore, CR is sensitive to the amplitudes and correlation times of CCSW noises [19]. CCSW noises [20] can also greatly enhance weak signal detection and transmission through resonance mechanism like periodic force [21][22][23], time delay [24,25], electromagnetic induction [26][27][28][29][30][31], and sine-Wiener noise [32]. Although some studies on CCSW noises have been achieved, to our best knowledge, the effects of CCSW noises on the spiral wave and pattern dynamics have not been so far reported.…”