Dynamics of spatial averages.
We study the dynamics of spatial averages of spatially extended dynamical systems. We present various examples of lattice dynamical systems to show the possibility of different behaviors, including asymptotically constant, periodic, and non-periodic, of spatial averages. We explain that the fluctuation in spatial averages is caused by the transitivity and the lack of symmetry of the dynamics of local subsystems. (c) 1997 American Institute of Physics.
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