摘要
研究了一种具有随机邻居的2值元胞自动机模型的动力学性质,给出了其理想状态的动力学模型,分析了该模型的混沌特性,并通过分叉图、Lyapunov指数和Schwarzian导数解释了模型由倍分叉通向混沌的过程。最后,通过计算对比,分析了非理想状态与理想状态下模型动力学性质的差异。
The dynamical characters of a kind of two value cellular automaton with random neighborhoods are studied. The dynamical model of the automaton in the ideal condition is given out, and the chaotic properties of the model are analyzed. The bifurcation plot, the Lyapunov exponents, and the Schwarzian derivative of the model are calculated to explain that the route to chaos the model takes is period-doubling bifurcations. Finally, the different behaviors between the ideal model and non-ideal model are pointed out.
出处
《计算机科学》
CSCD
北大核心
2007年第12期200-203,共4页
Computer Science
基金
国家自然科学基金资助项目(60573124)
辽宁省自然科学基金资助项目(20040948)
