Shirasaka Sho, Watanabe Nobuhiro, Kawamura Yoji, Nakao Hiroya
Research Center for Advanced Science and Technology, University of Tokyo, Tokyo 153-8904, Japan.
Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan.
Phys Rev E. 2017 Jul;96(1-1):012223. doi: 10.1103/PhysRevE.96.012223. Epub 2017 Jul 26.
We consider optimization of the linear stability of synchronized states between a pair of weakly coupled limit-cycle oscillators with cross coupling, where different components of state variables of the oscillators are allowed to interact. On the basis of the phase reduction theory, we derive the coupling matrix between different components of the oscillator states that maximizes the linear stability of the synchronized state under given constraints on the overall coupling intensity and the stationary phase difference. The improvement in the linear stability is illustrated by using several types of limit-cycle oscillators as examples.
