M. Hayashi, “Non-Existence of Homoclinic Orbits and Global Asymptotic Stability of FitzHugh-Nagumo System,” Vietnam Journal of Mathematics, Vol. 27, No. 4, 1999, pp. 335-343.

has been cited by the following article:

• TITLE: On Canard Homoclinic of a Liénard Perturbation System

  AUTHORS: Makoto Hayashi

  KEYWORDS: Liénard System, Canards, Limit Cycles, Homoclinic Orbits, Global Asymptotic Stability

  JOURNAL NAME: Applied Mathematics, Vol.2 No.10, October 11, 2011

  ABSTRACT: The classification on the orbits of some Liénard perturbation system with several parameters, which is relation to the example in [1] or [2], is discussed. The conditions for the parameters in order that the system has a unique limit cycle, homoclinic orbits, canards or the unique equilibrium point is globally asymptotic stable are given. The methods in our previous papers are used for the proofs.