title: Phase order in chaotic maps and in coupled map lattices
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.
authors.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.
authors.initials: W
authors.lastname: Wang
authors.initials: Z
authors.lastname: Liu
authors.initials: B
authors.lastname: Hu