3 papers
nlin.SI2026
Commuting integrable maps from a deformed D cluster algebra
A. N. W. Hone, W. Kim, T. Mase
In this paper we revisit an integrable map of the plane which we obtained recently as a two-parameter family of deformed mutations in the cluster algebra of type D. The rationa…
nlin.SI2025
Exact calculation of degrees for lattice equations: a singularity approach
Takafumi Mase
The theory of degree growth and algebraic entropy plays a crucial role in the field of discrete integrable systems. However, a general method for calculating degree growth for latt…
nlin.SI2024
Deautonomisation by singularity confinement and degree growth
Alexander Stokes, Takafumi Mase, Ralph Willox +1
In this paper we give an explanation of a number of observations relating to degree growth of birational mappings of the plane and their deautonomisation by singularity confinement…