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.