Dynamics of the birational maps arising from F-0 and dP(3) quivers

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Ines Cruz (Author) FCUP; Helena Mena Matos (Author) FCUP; Esmeralda Sousa Dias, ME (Author) Other

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 431

Pages: 903-918

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00G-EF6

DOI: 10.1016/j.jmaa.2015.06.017

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16