| 连续流的渐近平均跟踪性质与传递性 |
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| 引用本文： | 牛应轩.连续流的渐近平均跟踪性质与传递性[J].安徽大学学报(自然科学版),2008,32(5). |
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| 作者姓名： | 牛应轩 |
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| 作者单位： | 皖西学院,数理系,安徽,六安,237012 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 对于连续流,引入渐近平均跟踪性质的概念,讨论了具有渐近平均跟踪性质的连续流与一些动力性质的关系.证明了具有渐近平均跟踪性质的连续流是链传递的,且具有渐近平均跟踪性质的Lyapunov稳定的连续流是一个极小流.
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| 关 键 词： | 连续流 拓扑传递 Lyapunov稳定 极小流 |
The asymptotic average shadowing property and transitivity for continuous flows |
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| NIU Ying-xuan.The asymptotic average shadowing property and transitivity for continuous flows[J].Journal of Anhui University(Natural Sciences),2008,32(5). |
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| Authors: | NIU Ying-xuan |
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| Abstract: | For continuous flows,the notion of the asymptotic average shadowing property was introduced and the relations between the asymptotic average shadowing property and some dynamical properties were investigated.It was shown that a continuous flow with asymptotic average shadowing property was chain transitive and a continuous Lyapunov stable flow with the asymptotic average shadowing property was a minimal flow. |
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| Keywords: | continuous flow topologically transitive Lyapunov stable minimal flow |
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