Intrinsic shape of the chain recurrent set

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• 作者：N. Shekutkovski ; ^{nikita@pmf.ukim.mk" class="auth_mail" title="E-mail the corresponding author} ; M. Shoptrajanov ^{martin@pmf.ukim.mk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：54H20 ; 54C56 ; 37B20 ; 37B25
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：1 April 2016
• 年：2016
• 卷：202
• 期：Complete
• 页码：117-126
• 全文大小：313 K

文摘

In this paper for the first time the shape of the chain recurrent set in a dynamical system is investigated. Following the already known theorem for shape of an attractor, we formulate a theorem about the shape of members of a Morse decomposition and the shape of the chain recurrent set.