A Solvable Model for Spatiotemporal Chaos

Details A Solvable Model for Spatiotemporal Chaos A Solvable Model for Spatiotemporal Chaos

1997-06-06

arxiv.org/abs/chao-dyn/9706008v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevE.57.388

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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