15 citations · 31 across the 8 of their papers we have counts for
3 papers · 1 filter
Dynamics and periodicity in a family of cluster maps
Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias
The dynamics of a 1-parameter family of cluster maps associated to mutation-periodic quivers in dimension 4, is studied in detail. The use of presymplectic reduction leads to…
Dynamics of the birational maps arising from and quivers
Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias
The dynamics of the maps associated to and quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps…
Discrete dynamical systems from mutation-periodic quivers: examples and reduction
Inês Cruz, M. Esmeralda Sousa-Dias
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…