超离散极限环在某一类最大加动态系统中的推广
A Generalization for Ultradiscrete Limit Cycles in a Certain Type of Max-Plus Dynamical Systems
AI总结：
本文推广了超离散极限环的最大加模型，涵盖负反馈与塞尔科夫模型，解析确定极限环离散状态数，并探讨其与边界碰撞分岔正规形的关系。
摘要：
本文研究了一类广义最大加模型中超离散极限环的动力性质。该模型既包含负反馈模型，也包含塞尔科夫模型。它表现出奈马克-萨克分岔，并具有稳定和不稳定的超离散极限环。极限环中离散状态的数量可以通过解析方法确定，并提出了其近似关系。此外，还讨论了最大加模型与边界碰撞分岔的二维正规形之间的关系。
英文摘要：
Dynamical properties of a generalized max-plus model for ultradiscrete limit cycles are investigated.This model includes both the negative feedback model and the Sel'kov model. It exhibits the Neimark-Sacker bifurcation, and possesses stable and unstable ultradiscrete limit cycles. The number of discrete states in the limit cycles can be analytically determined and its approximate relation is proposed. Additionally, relationship between the max-plus model and the two-dimensional normal form of the border collision bifurcation is discussed.
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。
