1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 83(4 Pt 2): 046220, 2011 Apr.
Artigo
em Inglês
| MEDLINE
| ID: mdl-21599283
RESUMO
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.