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Dynamics of a Diffusively Coupled Ring of Lorenz Oscillators

Kresimir Josic and C. Eugene Wayne

In this paper we investigate the existence and stability of fixed states in arbitrarily large chains of diffusively coupled Lorenz system. We show that a stable fixed state exists in an arbitrarily large ring for a fixed coupling strength. (appeared in the Journal of Statistical Physics)

Postscript PDF

The interval arithemtic code used for some estimates in the paper is available.

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