Mean–field theory of critical coupled map lattices
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چکیده
We study the single–site approximation of the Perron–Frobenius equation for a coupled map lattice exhibiting a phase transition at a critical value gc 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 gc is within six percent of the one previously obtained by numerical simulations with asynchronous updating. PACS numbers: 05.45.+b, 05.70.Jk Short title: Mean–field theory of coupled map lattices February 1, 2008 ‡ e–mail: [email protected] § e–mail: [email protected] 2
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تاریخ انتشار 1998