title: Turing patterns in three dimensions.
abstract: We investigate three-dimensional Turing patterns in two-component reaction diffusion systems. The FitzHugh-Nagumo equation, the Brusselator, and the Gray-Scott model are solved numerically in three dimensions. Several interconnected structures of domains as well as lamellar, hexagonal, and spherical domains are obtained as stable motionless equilibrium patterns. The relative stability of these structures is studied analytically based on the reduction approximation. The relation with the microphase-separated structures in block copolymers is also discussed.
authors.affiliation: Department of Physics, Kyoto University, Kyoto, Japan. hshoji@math.meiji.ac.jp
authors.forename: Hiroto
authors.initials: H
authors.lastname: Shoji
authors.forename: Kohtaro
authors.initials: K
authors.lastname: Yamada
authors.forename: Daishin
authors.initials: D
authors.lastname: Ueyama
authors.forename: Takao
authors.initials: T
authors.lastname: Ohta