Display Abstract

Title Standing Pulse Solutions to FitzHugh-Nagumo Equations

Name Chao-Nien Chen
Country Taiwan
Email macnchen@cc.ncue.edu.tw
Co-Author(s)
Submit Time 2014-02-25 20:37:19
Session
Special Session 8: Emergence and dynamics of patterns in nonlinear partial differential equations from mathematical science
Contents
We are concerned with standing pulse solutions for the FitzHugh-Nagumo equations. Since the reaction terms are coupled in a skew-gradient structure, a standing pulse solution is a homoclinic orbit of a second order Hamiltonian system. We use variational approach to study the existence question. If time permits, related stability results will be discussed.