9 citations · 18 across the 17 of their papers we have counts for
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Ultradiscretization in discrete limit cycles of tropically discretized and max-plus Sel'kov models
Yoshihiro Yamazaki, Shousuke Ohmori
The state of limit cycles for a tropically discretized Sel'kov model becomes ultradiscrete due to phase lock caused by a saddle-node bifurcation. This property is essentially the s…
Conway's law, revised from a mathematical viewpoint
Shigeki Matsutani, Shousuke Ohmori, Kenji Hiranabe +1
In this article, we revise Conway's Law from a mathematical point of view. By introducing a task graph, we first rigorously state Conway's Law based on the homomorphisms in graph t…
Construction of topological representation of geometric patterns using Cantor self-similar set
Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto +1
Universal representation of geometric patterns of disordered matters is investigated with the aid of general topology. By utilizing the result obtained in the previous study (S. Oh…
Emergence of ultradiscrete states due to phase lock caused by saddle-node bifurcation in discrete limit cycles
Yoshihiro Yamazaki, Shousuke Ohmori
Dynamical properties of limit cycles in a tropically discretized negative feedback model are numerically investigated. This model has a controlling parameter , which corresponds…
Dynamical properties of discrete negative feedback models
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of tropically discretized and max-plus negative feedback models are investigated. Reviewing the previous study [S. Gibo and H. Ito, J. Theor. Biol. 378, 89 (20…
Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions
Shousuke Ohmori, Yoshihiro Yamazaki
Relationship for dynamical properties in the vicinity of fixed points between two-dimensional continuous and its positivity-preserving discretized dynamical systems is studied. Bas…