标题： 一种特定类型的最大-加法动力系统中超离散极限环的推广 显示英文标题

标题： A Generalization for Ultradiscrete Limit Cycles in a Certain Type of Max-Plus Dynamical Systems

摘要： 广义最大-加法模型在超离散极限环中的动力学性质被研究。该模型包括负反馈模型和Sel'kov模型。 它表现出Neimark-Sacker分岔，并具有稳定和不稳定的超离散极限环。 极限环中的离散状态数量可以被解析确定，提出了其近似关系。 此外，讨论了最大-加法模型与边界碰撞分岔的二维正规型之间的关系。 显示英文摘要

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.