有限$N$单元双稳态Langevin模型中周期输入诱导的同步：增广矩方法
Synchronization induced by periodic inputs in finite $N$-unit bistable Langevin models: The augmented moment method
摘要：
研究了在互相关加性和乘性噪声作用下，有限$N$ -单元耦合双稳态Langevin模型的周期输入诱导同步问题。本文利用半解析增广矩方法（AMM）研究了系统大小（$N$）、耦合强度以及加性噪声和乘性噪声之间的互相关对同步的影响。Hasegawa，Phys. Rev. E { \bf 67}（2003）041903]。对AMM方程定态解的线性分析表明，正（负）耦合提高（降低）了稳定性。将非线性双稳态Langevin模型的结果与线性Langevin模型的结果进行了比较。
英文摘要：
We have studied the synchronization induced by periodic inputs applied to the finite $N$-unit coupled bistable Langevin model which is subjected to cross-correlated additive and multiplicative noises. Effects on the synchronization of the system size ($N$), the coupling strength and the cross-correlation between additive and multiplicative noises have been investigated with the use of the semi-analytical augmented moment method (AMM) which is the second-order moment approximation for local and global variables [H. Hasegawa, Phys. Rev. E {\bf 67} (2003) 041903]. A linear analysis of the stationary solution of AMM equations shows that the stability is improved (degraded) by positive (negative) couplings. Results of the nonlinear bistable Langevin model are compared to those of the linear Langevin model.
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