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三维Lotka-Volterra系统的动力学行为与极限环构造 被引量：3

THE DYNAMIC BEHAVIOR AND LIMIT CYCLE CONSTRUCTION OF THREE-DIMENSIONAL LOTKA-VOLTERRA SYSTEMS
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摘要 综述三维Lotka-Volterra系统的动力学行为研究的新进展,主要是极限环的算法化构造与个数问题,以及一些相关猜想.讨论了一些计算机辅助推理在种群动力学中的应用以及相关的问题. This paper summarizes the major advancements of the dynamic behavior for three-dimensional Lotka-Volterra systems. Especially, the algorithmic construction and the number of limit cycles for these systems and some conjectures are reviewed. Some research works about the application of computer aided reasoning in the population dynamics and related topics are discussed.
作者 罗勇 陆征一
机构地区 温州大学数学与信息科学学院 四川师范大学数学与软件科学学院
出处 《系统科学与数学》 CSCD 北大核心 2009年第9期1256-1265,共10页 Journal of Systems Science and Mathematical Sciences
基金 国家重点基础研究规划项目(2004CB318000) 国家自然科学基金(10726001)资助
关键词 LOTKA-VOLTERRA系统 动力学行为 极限环 Lotka-Volterra systems, dynamic behavior, limit cycle
分类号 N941.3 [自然科学总论—系统科学]
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参考文献34

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二级参考文献9

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系统科学与数学
2009年 第9期

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