title: Stationary pattern formation in a discrete excitable system with strong inhibitory coupling.
abstract: 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.
authors.affiliation: Graduate School of Science, Chiba University, Chiba 263-8522, Japan.
authors.forename: Naoko
authors.initials: N
authors.lastname: Kurata
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Kitahata
authors.forename: Hitoshi
authors.initials: H
authors.lastname: Mahara
authors.forename: Atsushi
authors.initials: A
authors.lastname: Nomura
authors.forename: Hidetoshi
authors.initials: H
authors.lastname: Miike
authors.forename: Tatsunari
authors.initials: T
authors.lastname: Sakurai