91 citations · 91 across the 2 of their papers we have counts for
2 papers
math.AP2025
Exact solutions describing very slow layer oscillations in a shadow reaction-diffusion system
Shin-Ichiro Ei, Yasuhito Miyamoto, Tatsuki Mori
We show in a rigorous way that a stable internal single-layer stationary solution is destabilized by the Hopf bifurcation as the time constant exceeds a certain critical value. Mor…
hep-th1999★ 91 cited
Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
S. -I. Ei, K. Fujii, T. Kunihiro
The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation…