33 citations · 192 across the 30 of their papers we have counts for
3 papers · 1 filter
The redemption of singularity confinement
Alfred Ramani, Basil Grammaticos, Ralph Willox +2
We present a novel way to apply the singularity confinement property as a discrete integrability criterion. We shall use what we call a full deautonomisation approach, which consis…
Deautonomisation by singularity confinement: an algebro-geometric justification
Takafumi Mase, Ralph Willox, Basil Grammaticos +1
The `deautonomisation' of an integrable mapping of the plane consists in treating the free parameters in the mapping as functions of the independent variable, the precise expressio…
Irreducibility and co-primeness as an integrability criterion for discrete equations
Masataka Kanki, Jun Mada, Takafumi Mase +1
We study the Laurent property, the irreducibility and co-primeness of discrete integrable and non-integrable equations. First we study a discrete integrable equation related to the…