Abstract
A turbulent state in a model of two-dimensional coupled map lattices (CMLs) is controlled to homogeneous stable states by using uniform phase space compression, and an equation for controlling the CML model to desired stable states is given in a certain region. Any desired stable patterns in a 2D transverse section are obtained by using nonuniform phase space compression under the turbulent state. The method is also shown to be successful for suppressing turbulence in the CML model to spatiotemporally periodic states by compressing a part of the phase space and be robust against noise.
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