Macroscopic limit cycle via pure noise-induced phase transitions.
Macroscopic limit cycle via pure noise-induced phase transitions.
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通过纯噪声引起的相变的宏观极限环。
DOI：
10.1103/physreve.69.051104
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
C. Broeck
中科院分区：
文献类型：
--
作者：
R. Kawai;X. Sailer;L. Schimansky;C. Broeck
从宏观累积动力学的分岔角度重新研究了由纯噪声诱导的相变产生的双稳性。与以前的方法相比，它允许在更一般的情况下对相图进行分析研究。此外，使用这种方法，我们研究了每个站点具有两个自由度的空间扩展系统。对于该系统，稳态Fokker-Planck方程的解析解是不可用的，标准平均场法不能用于寻找噪声引起的相变。基于累积动力学的另一种方法预测了通过Hopf分岔导致宏观极限环运动的噪声诱导相变，并通过数值模拟得到了证实。
Bistability generated via a pure noise-induced phase transition is reexamined from the view of bifurcations in macroscopic cumulant dynamics. It allows an analytical study of the phase diagram in more general cases than previous methods. In addition, using this approach we investigate spatially extended systems with two degrees of freedom per site. For this system, the analytic solution of the stationary Fokker-Planck equation is not available and a standard mean field approach cannot be used to find noise-induced phase transitions. A different approach based on cumulant dynamics predicts a noise-induced phase transition through a Hopf bifurcation leading to a macroscopic limit cycle motion, which is confirmed by numerical simulation.