Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
复制标题
弱耦合极限环振荡器稳定同步的线性和非线性相互作用方案的优化
DOI：
10.1103/physreve.100.042205
复制
发表时间：
2019
影响因子：
2.4
通讯作者：
Nakao Hiroya
中科院分区：
文献类型：
--
作者：
Watanabe Nobuhiro;Kato Yuzuru;Shirasaka Sho;Nakao Hiroya
在减相理论的框架下，研究了弱对称耦合的一对极限环振子的互同步优化问题。通过总结我们以前的研究[S]。Shirasaka， N. Watanabe， Y. Kawamura，和H. Nakao，具有弱交叉耦合的一对极限环振荡器之间相互同步的稳定性优化，物理学报。[j] .电子学报，96,012223 (2017)2470-004510.1103/PhysRevE.96.012223]关于振子间交叉扩散耦合矩阵的优化，我们考虑对互耦信号进行优化以最大化同步状态的线性稳定性，这是振子状态过去时间序列的泛函。对于线性耦合的情况，考虑了延迟时间的优化和耦合信号的线性滤波。对于非线性耦合，考虑一般的驱动-响应耦合，推导出最优响应和驱动函数。数值模拟验证了理论结果。
Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase-reduction theory. By generalizing our previous study [S. Shirasaka, N. Watanabe, Y. Kawamura, and H. Nakao, Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling, Phys. Rev. E 96, 012223 (2017)2470-004510.1103/PhysRevE.96.012223] on the optimization of cross-diffusion coupling matrices between the oscillators, we consider optimization of mutual coupling signals to maximize the linear stability of the synchronized state, which are functionals of the past time sequences of the oscillator states. For the case of linear coupling, optimization of the delay time and linear filtering of coupling signals are considered. For the case of nonlinear coupling, general drive-response coupling is considered and the optimal response and driving functions are derived. The theoretical results are illustrated by numerical simulations.