Wang W, Liu Z, Hu B
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.
Phys Rev Lett. 2000 Mar 20;84(12):2610-3. doi: 10.1103/PhysRevLett.84.2610.
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.
通过将方向相位定义为逻辑斯谛映射的两个连续迭代的方向，发现随着参数μ增加，净方向相位M从零过渡到一个有限值。在过渡点μ(0)附近，得到标度M近似为(μ - μ(0))(α)，其中α = 0.5。还研究了耦合映射格点中方向相位的有序状态。尽管格点仍然保持混沌，但发现方向相位存在相位同步。
