Turing instability in oscillator chains with non-local coupling

Details Turing instability in oscillator chains with non-local coupling Turing instability in oscillator chains with non-local coupling

2011-02-14

arxiv.org/abs/1102.2834v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We investigate analytically and numerically the conditions for the Turing instability to occur in a one-dimensional chain of nonlinear oscillators coupled non-locally in such a way that the coupling strength decreases with the spatial distance as a power-law. A range parameter makes possible to cover the two limiting cases of local (nearest-neighbor) and a global (all-to-all) couplings. We consider an example from a non-linear auto-catalytic reaction-diffusion model.

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