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math.DS2023
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-…
math.DS2018
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…