一个全局耦合不连续映像格子中的冻结化随机图案模式
谭红芳;金涛;屈世显
【期刊名称】《物理学报》 【年(卷),期】2012(061)004
【摘要】A class of the characteristic collective dynamic behaviors,i.e.,the frozen random patterns,in a globally coupled both-discontinuous -and-non-invertible-map
lattices
are
studied.The
coupling-strength
dependences of the mean order parameters and the largest Lyapunov exponents are calculated and analyzed.The result shows that,given the initial values for the dynamical variables, the system will reach its complete or partial synchronization state when the coupling strength is beyond some critical value,where the frozen random pattern appears.These phenomena reveal that there are coexisting attractors in the system,and thus the structure and the distribution of the frozen random patterns sensitively depend on the choice of the initial dynamics variables.The interesting event is that the system can be modulated to some regular states of motion by the coupling among lattices even when the single maps are in the chaotic states,which may have some important applications in controlling chaos.The rich dynamical behaviors mentioned above are due to the interplay between the discontinuity and the non-invertibility in the map.%本文研究了一类既不连续又不可逆分段线性映像构成的全局耦合映像格子系统中的一类典型集体
一个全局耦合不连续映像格子中的冻结化随机图案模式
