Biswas Santidan, Das Dibyendu, Parmananda P, Sain Anirban
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046220. doi: 10.1103/PhysRevE.80.046220. Epub 2009 Oct 29.
Emergence of noise-induced regularity or coherence resonance in nonlinear excitable systems is well known. We explain theoretically why the normalized variance (V(N)) of interspike time intervals, which is a measure of regularity in such systems, has a unimodal profile. Our semianalytic treatment of the associated spiking process produces a general yet simple formula for V(N) , which we show is in very good agreement with numerics in two test cases, namely, the FitzHugh-Nagumo model and the chemical oscillator model.
非线性可激发系统中噪声诱导的规律性或相干共振的出现是众所周知的。我们从理论上解释了为什么峰峰时间间隔的归一化方差（V(N)），作为此类系统中规律性的一种度量，具有单峰分布。我们对相关脉冲发放过程的半解析处理得出了一个通用且简单的V(N)公式，我们证明该公式在两个测试案例中，即FitzHugh-Nagumo模型和化学振荡器模型中，与数值计算结果非常吻合。
