Yang Lijian, Liu Wangheng, Yi Ming, Wang Canjun, Zhu Qiaomu, Zhan Xuan, Jia Ya
Department of Physics and Institute of Biophysics, Central China Normal University, Wuhan, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):016209. doi: 10.1103/PhysRevE.86.016209. Epub 2012 Jul 11.
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.
我们研究了可激发系统中振动共振的发生及其潜在机制。在同时调节高频力的幅度和频率时，观察到了单振动共振和振动双共振。此外，借助无低频信号的FitzHugh-Nagumo模型的相图，发现响应测量的每个最大值恰好位于相模式的转变边界处。因此，正是不同锁相模式之间的转变在可激发系统中诱发了振动共振。最后，在霍奇金-赫胥黎神经模型中验证了这一机制。我们的结果为非线性系统中弱信号的传输提供了见解，这在工程中的潜在应用中具有重要价值。
