Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators

Details Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators

1999-05-11

arxiv.org/abs/cond-mat/9905140v1

Physics

Condensed Matter

Statistical Mechanics

30 pages

Scientific paper

We study the dynamics of a finite chain of diffusively coupled Lorenz oscillators with periodic boundary conditions. Such rings possess infinitely many fixed states, some of which are observed to be stable. It is shown that there exists a stable fixed state in arbitrarily large rings for a fixed coupling strength. This suggests that coherent behavior in networks of diffusively coupled systems may appear at a coupling strength that is independent of the size of the network.

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