120 citations · 605 across the 41 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…
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…
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…
Integrability criterion in terms of coprime property for the discrete Toda equation
Masataka Kanki, Jun Mada, Tetsuji Tokihiro
We reformulate the singularity confinement of the discrete Toda equation. We prove the co-primeness property, which has been introduced in our previous paper (arXiv:1311.0060) as o…
Mathematical Modelings for Angiogenesis - A Cellular Automaton Model and its Continuous Model
Keisuke Matsuya, Hiroki Kurihara, Tetsuji Tokihiro
Based on recent experiments with time-lapse fluorescent imaging, we propose a cellular automaton model for the dynamics of vascular endothelial cells (ECs) in angiogenic morphogene…