Vibrational resonance induced by transition of phase-locking modes in excitable systems

Abstract

We study the occurrence of vibrational resonance as well as the underlying mechanism in excitable systems. The single vibration resonance and vibration bi-resonance are observed when tuning the amplitude and frequency of high-frequency force simultaneously. Furthermore, by virtue of the phase diagram of low-frequency-signal-free FitzHugh-Nagumo model, it is found that each maxima of response measure is located exactly at the transition boundary of phase patterns. Therefore, it is the transition between different phase-locking modes that induces vibrational resonance in the excitable systems. Finally, this mechanism is verified in the Hodgkin-Huxley neural model. Our results provide insights into the transmission of weak signals in nonlinear systems, which are valuable in engineering for potential applications.

Subthreshold Periodic Signal Detection by Bounded Noise‐Induced Resonance in the FitzHugh–Nagumo Neuron

“…However, most previous studies mainly paid much attention to individual or combined effects of amplitude and frequency of HF force and did not consider the effect of random phase variation on the response of excitability systems [13]. In fact, besides amplitude and frequency, phase is also an important factor that influences the response of excitability systems to external signals [1,31,32].…”

“…The HF force with an appropriate strength and frequency may augment the processing of a weak LF signal [13]. This phenomenon is called vibrational resonance (VR) [14].…”

“…Yao and Zhan found that signal detection and transmission can be effectively enhanced by VR in oneway coupled bistable systems [20] or a spatially periodic force in the reaction-diffusion system [21]. In our previous study, the occurrence and mechanism of VR were discussed in detail within the whole parameter plane of amplitude and frequency of HF force based on an excitable FHN neuron model driven by two regular periodic signals [13]. We found that VR can be induced by the transition between different phase-locking modes since each maximum of response measure appears exactly at the transition boundary of phase patterns of the LFsignal-free FHN model [13].…”

“…This phenomenon is called vibrational resonance (VR) [14]. It should be mentioned 2 Complexity that two-frequency driving systems can be found in many different fields, such as the communication field where HF carrier waves are usually used to enhance the target signal [13], neuroscience [15], acoustics [16], and laser physics [17]. The influences of VR on signal detection and amplification have been widely investigated in these systems subjected to LF and HF driving forces.…”

“…In our previous study, the occurrence and mechanism of VR were discussed in detail within the whole parameter plane of amplitude and frequency of HF force based on an excitable FHN neuron model driven by two regular periodic signals [13]. We found that VR can be induced by the transition between different phase-locking modes since each maximum of response measure appears exactly at the transition boundary of phase patterns of the LFsignal-free FHN model [13]. Therefore, VR is also regarded as a possible mechanism for understanding how neurons extract target signals from a noisy environment.…”