标题： 从$F_0$和$dP_3$向量图产生的有理映射的动力学 显示英文标题

标题： Dynamics of the birational maps arising from $F_0$ and $dP_3$ quivers

摘要： 关联到$F_0$和$dP_3$量子的映射的动力学被详细研究。 我们证明了相应的约化辛映射通过提供显式共轭关系与全局周期映射共轭。 原始映射在$\Rb^N_+$中的动力学通过提升这些全局周期映射的动力学获得，每个映射生成的离散动力系统解也被给出。 通过考虑首次积分，对动力学有了更好的理解。 探讨了全局周期映射的完全可积性与原始映射动力学之间的关系。 显示英文摘要

摘要： The dynamics of the maps associated to $F_0$ and $dP_3$ quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps by providing explicit conjugations. The dynamics in $\Rb^N_+$ of the original maps is obtained by lifting the dynamics of these globally periodic maps and the solution of the discrete dynamical systems generated by each map is given. A better understanding of the dynamics is achieved by considering first integrals. The relationship between the complete integrability of the globally periodic maps and the dynamics of the original maps is explored.