$F_0$和$dP_3$箭图上双有理映射的动力学
Dynamics of the birational maps arising from $F_0$ and $dP_3$ quivers
摘要：
详细研究了与$F_0$和$dP_3$箭图有关的映射的动力学。我们证明了相应的约化辛映射是共轭的全局周期映射提供明确的共轭。通过提升这些全局周期映射的动力学，得到了原映射在$\Rb^N_+$中的动力学，并给出了由每个映射生成的离散动力系统的解.通过考虑首次积分可以更好地理解动力学。研究了全局周期映射的完全可积性与原映射动力学之间的关系。
英文摘要：
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.
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