33 citations · 192 across the 30 of their papers we have counts for
5 papers · 1 filter
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…
Integrable mappings and the notion of anticonfinement
Takafumi Mase, Ralph Willox, Alfred Ramani +1
We examine the notion of anticonfinement and the role it has to play in the singularity analysis of discrete systems. A singularity is said to be anticonfined if singular values co…
Investigation into the role of the Laurent property in integrability
Takafumi Mase
We study the Laurent property for autonomous and nonautonomous discrete equations. First we show, without relying on the caterpillar lemma, the Laurent property for the Hirota-Miwa…
Singularity confinement and full-deautonomisation: a discrete integrability criterion
Basil Grammaticos, Alfred Ramani, Ralph Willox +2
We present a new approach to singularity confinement which makes it an efficient and reliable discrete integrability detector. Our method is based on the full-deautonomisation proc…
Algebraic entropy of an extended Hietarinta-Viallet equation
Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
We introduce a series of discrete mappings, which is considered to be an extension of the Hietarinta-Viallet mapping with one parameter. We obtain the algebraic entropy for this ma…