On Canard Homoclinic of a Liénard Perturbation System

Author(s)
Makoto Hayashi

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.

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.

Cite this paper

nullM. Hayashi, "On Canard Homoclinic of a Liénard Perturbation System,"*Applied Mathematics*, Vol. 2 No. 10, 2011, pp. 1221-1224. doi: 10.4236/am.2011.210170.

nullM. Hayashi, "On Canard Homoclinic of a Liénard Perturbation System,"

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