Phase order in chaotic maps and in coupled map lattices |
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Authors: | Wang Liu Hu |
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Affiliation: | National Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093, China and Center for Nonlinear Studies and Department of Physics, Hong Kong Baptist University, Hong Kong, China. |
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Abstract: | By defining a direction phase as the direction of two sequential iterations of the logistic map, a transition of a net direction phase M from zero to a finite value as the parameter &mgr; increases is found. Near the transition point &mgr;(0) a scaling M approximately (&mgr;-&mgr;(0))(alpha) with alpha = 0.5 is obtained. The order state of the direction phases in a coupled map lattice is also studied. A phase synchronization of the direction phases is found although the lattices still remain chaotic. |
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