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可激发系统中锁相模式转变所诱导的振动共振。

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

作者信息

Yang Lijian, Liu Wangheng, Yi Ming, Wang Canjun, Zhu Qiaomu, Zhan Xuan, Jia Ya

机构信息

Department of Physics and Institute of Biophysics, Central China Normal University, Wuhan, China.

出版信息

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.

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.

摘要

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。

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