Kawamura Yoji, Shirasaka Sho, Yanagita Tatsuo, Nakao Hiroya
Department of Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan.
Research Center for Advanced Science and Technology, University of Tokyo, Tokyo 153-8904, Japan.
Phys Rev E. 2017 Jul;96(1-1):012224. doi: 10.1103/PhysRevE.96.012224. Epub 2017 Jul 26.
Optimization of the stability of synchronized states between a pair of symmetrically coupled reaction-diffusion systems exhibiting rhythmic spatiotemporal patterns is studied in the framework of the phase reduction theory. The optimal linear filter that maximizes the linear stability of the in-phase synchronized state is derived for the case in which the two systems are nonlocally coupled. The optimal nonlinear interaction function that theoretically gives the largest linear stability of the in-phase synchronized state is also derived. The theory is illustrated by using typical rhythmic patterns in FitzHugh-Nagumo systems as examples.
在相位约化理论框架下，研究了一对呈现节律性时空模式的对称耦合反应扩散系统之间同步状态稳定性的优化问题。对于两个系统非局部耦合的情况，推导了使同相同步状态线性稳定性最大化的最优线性滤波器。还推导了理论上能给出同相同步状态最大线性稳定性的最优非线性相互作用函数。以FitzHugh-Nagumo系统中的典型节律模式为例对该理论进行了说明。
