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math-ph2017★ 1 cited
A two dimensional lattice equation as an extension of the Heideman-Hogan recurrence
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We consider a two dimensional extension of the so-called linearizable mappings. In particular, we start from the Heideman-Hogan recurrence, which is known as one of the linearizabl…
math-ph2017★ 3 cited
Nonlinear forms of coprimeness preserving extensions to the Somos- recurrence and the two-dimensional Toda lattice equation --investigation into their extended Laurent properties--
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
Coprimeness property was introduced to study the singularity structure of discrete dynamical systems. In this paper we shall extend the coprimeness property and the Laurent propert…