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Discrete dynamical systems from mutation-periodic quivers: examples and reduction
- Publication Year :
- 2014
-
Abstract
- Several new mutation-periodic quivers of period higher than 1 are introduced as well as the associated discrete dynamical systems. The reduction of these systems is developed using either a presymplectic or a Poisson approach. The presymplectic approach leads to a reduced system whose iteration map is symplectic with respect to a log symplectic form. In the Poisson approach we build a Poisson structure invariant under the iteration map, leading to a reduced system whose variables are the Casimirs of such structure.<br />Comment: 16 pages, 2 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1402.1579
- Document Type :
- Working Paper