E.Ghys猜想的注记  

The remark on E.Ghys conjecture

作　　者：郭亚晓 杨将[1] 

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2015年第1期65-72,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(11301417)

摘　　要：通过类比自治动力系统中拓扑熵指数收敛的定义,给出了非自治拓扑熵指数收敛的定义及非自治Lipschitz系统中E.Ghys猜想成立的充分条件与必要条件,推广了自治动力系统中的相关结论.In this paper, through analogy to the definition of topology entropy exponential convergence of the automomous dynamical system, we obtain the nation of nonautonomous topological entropy exponential convergence, and we also give the sufficient condition and the necessity condition of E.Ghys conjecture in the nonautonomous Lipschitz dynamical systems, such that we expand the related solution of application of the automomous dynamical system.

关 键 词：非自治动力系统 拓扑熵 熵维数 Lipschitz系统 

分 类 号：O189[理学—数学]