Dynamics of the birational maps arising from F0 and dP3 quivers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:431

Article

Cruz, Ines¹  Mena-Matos, Helena¹  Esmeralda Sousa-Dias, M.² 

[1] Univ Porto, CMUP, Dept Matemat, Fac Ciencias, P-4169007 Oporto, Portugal

[2] Inst Super Tecn, CAMGSD, Dept Matemat, P-1049001 Lisbon, Portugal

关键词: Difference equations;    Globally periodic maps;    First integrals;    Quivers;   

DOI  :  10.1016/j.jmaa.2015.06.017

来源: Elsevier

【 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 R-+(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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free