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Mean field theory of critical coupled map lattices

Stefano Lepri·Wolfram Just
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Abstract

We study the single-site approximation of the Perron-Frobenius equation for a coupled map lattice exhibiting a phase transition at a critical value g_c of the coupling constant. We found that the critical exponents are the same as in the usual mean-field theory of equilibrium statistical mechanics. Remarkably, the value of g_c is within six percent of the one previously obtained by numerical simulations with asynchronous updating.

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Stefano Lepri, Wolfram Just. 1998-06-15. Mean field theory of critical coupled map lattices. https://doi.org/10.1088/0305-4470%2F31%2F29%2F009

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