Stability of Periodic Waves Bifurcating from a Front-Back Wave Loop, I

发布时间：2025-04-25 作者：浏览次数：

Speaker:	李骥	DateTime:	2025年4月25日（周五）下午 15:00-16:00
Brief Introduction to Speaker: 李骥，教授，华中科技大学		Place:	国交2号楼201
Abstract:In this talk, we focus on the stability of periodic waves bifurcating from a front-back wave loop. First, in general systems, we give the expressions of spectra with small modulus for linearized operator $L$ about these periodic waves by using Lyapunov-Schmidt reduction method and Lin-Sandstede method. Then, applying above spectral results to FitzHugh-Nagumo system, we obtain that $L^2(\mathbb{R})$-spectrum of $L$, consisting of essential spectrum, lies in the left-hand complex plane and is tangent to the imaginary axis at the origin. Last, we analyse the nonlinear stability of periodic waves against localized perturbations for FitzHugh-Nagumo system.

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