论文标题
在三维Kolmogorov地图中，全球吸引力和排斥杂智性极限周期
Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps
论文作者
论文摘要
竞争地图的携带简称理论最近有一个发展：在某些较弱的条件下，地图具有修改后的携带单纯形（作者的最新出版物之一）。在本文中，作为修改后的携带单纯形理论的应用之一，为三维的kolmogorov图建立了标准，以具有全球排斥（吸引）杂智性极限周期。作为一个具体的示例，研究了一个离散的竞争模型，以说明上述全球排斥（吸引力）的标准。
There is a recent development in the carrying simplex theory for competitive maps: under some weaker conditions a map has a modified carrying simplex (one of the author's latest publications). In this paper, as one of the applications of the modified carrying simplex theory, a criterion is established for a three dimensional Kolmogorov map to have a globally repelling (attracting) heteroclinic limit cycle. As a concrete example, a discrete competitive model is investigated to illustrate the above criteria for global repulsion (attraction) of a hetericlinic limit cycle.
