33 citations · 192 across the 30 of their papers we have counts for
4 papers · 1 filter
Calculating the algebraic entropy of mappings with unconfined singularities
Alfred Ramani, Basil Grammaticos, Ralph Willox +2
We present a method for calculating the dynamical degree of a mapping with unconfined singularities. It is based on a method introduced by Halburd for the computation of the growth…
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…
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…
Studies on spaces of initial conditions for nonautonomous mappings of the plane
Takafumi Mase
We study nonautonomous mappings of the plane by means of spaces of initial conditions. First we introduce the notion of a space of initial conditions for nonautonomous systems and…