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Some Recent Criteria of Discrete Chaos and Their Applications(Yuming Shi) |
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Some Recent Criteria of Discrete Chaos and Their Applications(Yuming Shi)
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作者:佚名 文章来源:中国数学信息网 点击数: 更新时间:2005/10/9 18:46:38 |
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数学与系统科学研究院
学术报告
报告题目 Some Recent Criteria of Discrete Chaos and Their Applications
报告人 Prof. Yuming Shi
Department of Mathematics Shandong University
时间地点 16:00-17:00, Oct. 17, 2005 712
摘要 This talk will survey some recent results about discrete chaos. Three definitions of chaos, including the well-known Li-Yorke’s chaos, Wiggins’ chaos, and Devaney’s chaos, will be first introduced. They are most often used so far. Their relationships are discussed. Then some criteria of chaos induced by snap-back repeller and turbulent maps will be given in finite-dimensional, Banach, and general complete metric spaces. Finally, some applications in anti-control of chaos will be provided. It is noted that most of the results, introduced in this talk, are recently obtained. |
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