A Solvable Model for Spatiotemporal Chaos
classification
chao-dyn
nlin.CDnlin.SIsolv-int
keywords
behaviorcalculatemapsspatiotemporalanalyticallybernoullichaoscorrelation
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We show that the dynamical behavior of a coupled map lattice where the individual maps are Bernoulli shift maps can be solved analytically for integer couplings. We calculate the invariant density of the system and show that it displays a nontrivial spatial behavior. We also introduce and calculate a generalized spatiotemporal correlation function.
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