On Canard Homoclinic of a Liénard Perturbation System

Makoto Hayashi

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DOI: 10.4236/am.2011.210170                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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