摘要
通过分段单调映射和线性耦合研究时空混沌中的序图样.理论分析发现,混沌映射的时不变性质导致映射曲线交点减少,为序图样缺失的一个重要原因.证明了线性耦合可以破坏映射的时不变性质,并给出曲线交点增加的条件.分析了耦合系统的映射、耦合系数和耦合次数对序图样的影响,并以实例和仿真实验验证了上述理论结果.
Based on piecewise monotone interval maps and linear coupling,we study order patterns of spatiotemporal chaos.The forbidden patterns are found to arise mainly from the reduction of curve intersections due to time invariance of chaotic maps.It is proved that linear couplings may destroy the time invariance,and create the conditions for increasing intersections.We analyze the effects of chaotic map,coupling strength and coupling number order patterns.Simulation results and illustrative examples all confirm the correctness of the theoretical results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2010年第11期7663-7668,共6页
Acta Physica Sinica
关键词
时空混沌
序图样
分段单调映射
线性耦合
spatiotemporal chaos
order pattern
piecewise monotone interval maps
linear coupling
