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arXiv 2103.11242math.DSecon.THq-bio.PE
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三维多矩阵复制子中的持续奇异吸引子

Persistent Strange attractors in 3D Polymatrix Replicators

Telmo Peixe, Alexandre A. Rodrigues

摘要:

我们引入了一个定义在三维立方体中的单参数多矩阵复制子族,并研究了它的分支。对于一个给定的参数区间,这个家庭展品暂停马蹄铁和持久的奇怪吸引子。证明依赖于内部平衡的同宿圈的存在性。我们还描述了负责在我们的系统(路线到混沌)从常规到混沌动力学的过渡的现象学步骤。

英文摘要:

We introduce a one-parameter family of polymatrix replicators defined in a three-dimensional cube and study its bifurcations. For a given interval of parameters, this family exhibits suspended horseshoes and persistent strange attractors. The proof relies on the existence of a homoclinic cycle to the interior equilibrium. We also describe the phenomenological steps responsible for the transition from regular to chaotic dynamics in our system (route to chaos).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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