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arXiv · 1102.2834

Turing instability in oscillator chains with non-local coupling

R. L. Viana·F. A. dos S. Silva·S. R. Lopes
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Abstract

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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R. L. Viana, F. A. dos S. Silva, S. R. Lopes. 2011-02-14. Turing instability in oscillator chains with non-local coupling. https://doi.org/10.1103/physreve.83.046220

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