18 citations · 128 across the 23 of their papers we have counts for
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Several results on the almost good reduction property to the -discrete Painlevé equations over the field of -adic numbers
Masataka Kanki
We report on the recent results in the theory of discrete integrable equations reduced modulo a prime number based on the previous results. This article mainly concerns the …
Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We introduce an equation defined on a multi-dimensional lattice, which can be considered as an extension to the coprimeness-preserving discrete KdV like equation in our previous pa…
Coprimeness-preserving non-integrable extension to the two-dimensional discrete Toda lattice equation
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We introduce a so-called `coprimeness-preserving non-integrable' extension (another terminology is `quasi-integrable' extension) to the two-dimensional Toda lattice equation. We be…
Singularity confinement and chaos in two-dimensional discrete systems
Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
We present a quasi-integrable two-dimensional lattice equation: i.e., a partial difference equation which satisfies a criterion of integrability, singularity confinement, although…
Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields
Masataka Kanki, Yuki Takahashi, Tetsuji Tokihiro
The periodic discrete Toda equation defined over finite fields has been studied. We obtained the finite graph structures constructed by the network of states where edges denote pos…
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…