Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
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DOI：
10.1103/physreve.84.016229
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发表时间：
2011-07-29
影响因子：
2.4
通讯作者：
Nakao, Hiroya
中科院分区：
文献类型：
--
作者：
Hata, Shigefumi;Arai, Kensuke;Nakao, Hiroya
研究了非相互作用极限环振子在普通泊松脉冲信号作用下随机同步的相位响应曲线优化问题。对于足够弱的信号，最佳函数形状是正弦曲线，但对于较强的信号可能不同。通过求解表征同步效率的李雅普诺夫指数最小化的欧拉-拉格朗日方程，得到了最优相位响应曲线。我们表明，最佳形状突变从正弦曲线到一个正弦曲线的平方振幅的约束是不同的。
We consider optimization of phase response curves for stochastic synchronization of noninteracting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional shape for sufficiently weak signals is sinusoidal, but can differ for stronger signals. By solving the Euler-Lagrange equation associated with the minimization of the Lyapunov exponent characterizing synchronization efficiency, the optimal phase response curve is obtained. We show that the optimal shape mutates from a sinusoid to a sawtooth as the constraint on its squared amplitude is varied.