纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2014年
2期
201-206
,共6页
杨承宇%王延庚%历智明
楊承宇%王延庚%歷智明
양승우%왕연경%력지명
非自治动力系统%超空间系统%初值敏感依赖性%集态初值敏感依赖性
非自治動力繫統%超空間繫統%初值敏感依賴性%集態初值敏感依賴性
비자치동력계통%초공간계통%초치민감의뢰성%집태초치민감의뢰성
non-autonomous dynamical system%hyperspace system%sensitive dependence on initial conditions%collective sensitive
旨在讨论非自治动力系统和其对应超空间非自治动力系统上的敏感依赖性。研究了非自治动力系统敏感依赖性和其对应超空间非自治动力系统敏感依赖性之间的蕴含关系。得到了一个使得(超空间)非自治动力系统敏感依赖性在其任意次迭代系统上得以保持的充分条件。
旨在討論非自治動力繫統和其對應超空間非自治動力繫統上的敏感依賴性。研究瞭非自治動力繫統敏感依賴性和其對應超空間非自治動力繫統敏感依賴性之間的蘊含關繫。得到瞭一箇使得(超空間)非自治動力繫統敏感依賴性在其任意次迭代繫統上得以保持的充分條件。
지재토론비자치동력계통화기대응초공간비자치동력계통상적민감의뢰성。연구료비자치동력계통민감의뢰성화기대응초공간비자치동력계통민감의뢰성지간적온함관계。득도료일개사득(초공간)비자치동력계통민감의뢰성재기임의차질대계통상득이보지적충분조건。
In this paper we mainly talk about the non-autonomous dynamical system and its hyperspace system. We study the relation between non-autonomous dynamical system and its hyperspace system in the aspect of sensitive. If the system is sensitive, we also have a sufficient condition to ensure its iterative system is sensitive, too.
