title: Turing instability in oscillator chains with nonlocal coupling.
abstract: We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled nonlocally, in such a way that the coupling strength decreases with the spatial distance as a power law. A range parameter makes it possible to cover the two limiting cases of local (nearest-neighbor) and global (all-to-all) couplings. We consider an example from a nonlinear autocatalytic reaction-diffusion model.
authors: Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Paraná, Brazil. viana@fisica.ufpr.br
authors: R L
authors: RL
authors: Viana
authors: F A
authors: FA
authors: dos S Silva
authors: S R
authors: SR
authors: Lopes