Stationary pattern formation in a discrete excitable system with strong inhibitory coupling.
We study a discrete model described by coupled excitable elements following the monostable FitzHugh-Nagumo equations. Our model has a weakly coupled activator and a strongly coupled inhibitor. For two-coupled excitable elements, we show that the trivial state always exists stably, while nontrivial stable states appear depending on the coupling strengths. In a one-dimensional array, only the elements near the initial condition step remain at nontrivial states. We discuss stationary pattern formation in a one-dimensional array and a two-dimensional lattice using the analytical results of a two-coupled system.
Kurata
Naoko
N
Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
Kitahata
Hiroyuki
H
Mahara
Hitoshi
H
Nomura
Atsushi
A
Miike
Hidetoshi
H
Sakurai
Tatsunari
T