6 citations · 11 across the 4 of their papers we have counts for
4 papers
Arbitrarily weak head-on collision can induce annihilation -- The role of hidden instabilities
Yasumasa Nishiura, Takashi Teramoto, Kei-Ichi Ueda
In this paper, we focus on annihilation dynamics for the head-on collision of traveling patterns. A representative and well-known example of annihilation is the one observed for 1-…
Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
Masataka Kuwamura, Takashi Teramoto, Hideo Ikeda
Mass-conserving reaction-diffusion systems with bistable nonlinearity are useful models for studying cell polarity formation, which is a key process in cell division and differenti…
Traveling pulse solutions in a three-component FitzHugh-Nagumo Model
Takashi Teramoto, Peter van Heijster
We use geometric singular perturbation techniques combined with an action functional approach to study traveling pulse solutions in a three-component FitzHugh--Nagumo model. First,…
Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media
Kei Nishi, Yasumasa Nishiura, Takashi Teramoto
The dynamics of pulse solutions in a bistable reaction-diffusion system are studied analytically by reducing partial differential equations (PDEs) to finite-dimensional ordinary di…