On Canard Homoclinic of a Liénard Perturbation System
Makoto Hayashi
DOI: 10.4236/am.2011.210170   PDF    HTML     5,278 Downloads   8,542 Views   Citations


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.

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M. 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.

Conflicts of Interest

The authors declare no conflicts of interest.


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