论文标题
部分可观测时空混沌系统的无模型预测
Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: one dimensional cases
论文作者
论文摘要
研究了具有阳性的一维离散动力系统的稳定性和分叉性，这些动力系统是由热带离散化得出的。离散的时间间隔是在离散动力系统中作为分叉参数引入的，并确定了附加分叉的额外分叉的出现条件。讨论了具有阳性的离散动力系统与从它们中得出的超级进取的系统之间的对应关系。发现派生的超级进取的最大动力学系统可以通过热带离散化和超级差异来保留原始连续的分叉。
Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied. The discretized time interval is introduced as a bifurcation parameter in the discrete dynamical systems, and emergence condition of an additional bifurcation, flip bifurcation, is identified. Correspondence between the discrete dynamical systems with positivity and the ultradiscrete ones derived from them is discussed. It is found that the derived ultradiscrete max-plus dynamical systems can retain the bifurcations of the original continuous ones via tropical discretization and ultradiscretization.
