机构地区: 中山大学数学与计算科学学院
出 处: 《中山大学学报(自然科学版)》 2006年第5期5-8,共4页
摘 要: 得到一个动力系统如果存在非几乎周期的(拟)弱几乎周期点,则存在子系统在修改的狄万内意义下是混沌的。还证明了正规极小点稠密的完全拓扑传递系统是双重拓扑遍历的,从而对有限型子转移而言,拓扑强混合与完全拓扑传递等价。 For a dynamic system, if there is a (quasi)weakly almost periodic point but not an almost periodic point, then there exists a subsystem which is chaotic in the sense of revised Devaney. Also a totally topological transitive system is topologically double ergodic if the regular minimal points are dense in it. Therefore for the finite type sub-shift, topologically strong mixing and totally topological transition are equivalent.
关 键 词: 拟 弱几乎周期点 修改狄万内意义下混沌 有限型子转移 完全拓扑传递