文章基本信息

标题：Applications of KAM theory to population dynamics
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作者：Marian Gidea ; James D. Meiss ; Ilie Ugarcovici 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2011
卷号：5
期号：1
页码：44-63
DOI：10.1080/17513758.2010.488301
出版社：Taylor & Francis
摘要：Computer simulations have shown that several classes of population models, including the May host-parasitoid model and the Ginzburg-Taneyhill 'maternal-quality' single species population model, exhibit extremely complicated orbit structures. These structures include islands-around-islands, ad infinitum, with the smaller islands containing stable periodic points of higher period. We identify the mechanism that generates this complexity and we discuss some biological implications.
关键词：population model; area preserving map; twist map; elliptic fixed point; KAM theorem; last invariant circle; reversibility