TY - JOUR
AU1 - Kawamura, Yoji
AU2 - Shirasaka, Sho
AU3 - Yanagita, Tatsuo
AU4 - Nakao, Hiroya
AB - 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.
TI - Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
JF - Physical Review E
DO - 10.1103/PhysRevE.96.012224
DA - 2017-07-26
UR - https://www.deepdyve.com/lp/american-physical-society-aps/optimizing-mutual-synchronization-of-rhythmic-spatiotemporal-patterns-mYbczRhZrD
VL - 96
IS - 1
DP - DeepDyve