耦合可激元件系统中噪声对同步影响的解析法
Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements
摘要：
我们报告的噪声和施加恒定电流的系统的可激发元素的行为的影响之间的关系。基于平均场模型的非线性Fokker-Planck方程的分析方法使我们能够研究噪声的影响，而无需近似，只需处理确定性非线性动力学。我们发现的相似性，相对于涉及亚临界Hopf分叉的振荡的发生，与施加恒定电流和平均场耦合的激励元件与噪声的系统之间的可激励元件。
英文摘要：
We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear Fokker-Planck equation of a mean-field model allows us to study the effects of noise without approximations only by dealing with deterministic nonlinear dynamics . We find the similarity, with respect to the occurrence of oscillations involving subcritical Hopf bifurcations, between the systems of an excitable element with applied constant currents and mean-field coupled excitable elements with noise.
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