摘要
采用分析法研究了拓扑动力系统(X,f g)的动力性状与拓扑动力系统(X,f)及(X,g)的动力性状之间的关系,结果表明,若f是拓扑传递、拓扑混合、拓扑强传递和初值敏感依赖的,且g满足一定条件,则fg相应地也是拓扑传递、拓扑混合、拓扑强传递和初值敏感依赖的.通过对(X,f)的动力性状和(X,g)的动力性状的研究,可以刻画出(X,fg)的某些动力性状.
Aim To investigate the dynamical behaviors between topological dynamical system （X,f° g） and topological dynamical system （X,f） as well as （X, f°g） and topological dynamical system （X, g）： Methods Analyzing method. Results If fis transitivity, mixing, strong transitivity and sensitive dependence on initial conditions, and g satisfies certain conditions, then f° g is transitivity, mixing, strong transitivity and sensitive dependence on initial conditions accordingly. Conclusion The dynamical behaviors of （X,f° g） can be described through investigating the dynamical behaviors of （X,f） and （X, g）.
出处
《重庆工学院学报（自然科学版）》
2008年第12期79-81,101,共4页
Journal of Chongqing Institute of Technology
基金
陕西省自然科学基金资助项目(98SL06)
关键词
拓扑传递
拓扑混合
拓扑强传递
初值敏感依赖
topological transitivity
topological mixing
topological strong transitivity
sensitive dependence on initial conditions
