2 papers
math.AP2025
Nonlinear Stability of Large-Period Traveling Waves Bifurcating from the Heteroclinic Loop in the FitzHugh-Nagumo Equation
Ji Li, Ke Wang, Qiliang Wu +1
A wave front and a wave back that spontaneously connect two hyperbolic equilibria, known as a heteroclinic wave loop, give rise to periodic waves with arbitrarily large spatial per…
math.DS2024
Unfolding a Hopf bifurcation in a linear reaction-diffusion equation with strongly localized impurity existence of breathing pulses
Ji Li, Qing Yu, Qian Zhang
This paper presents a general framework to derive the weakly nonlinear stability near a Hopf bifurcation in a special class of multi-scale reaction-diffusion equations. The main fo…