Limit cycle bifurcations of some Liénard systems

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Bifurcation Curves of Limit cycles in some LiéNard Systems

Liénard systems of the form ẍ + ǫf(x)ẋ + x = 0, with f(x) an even continous function, are considered. The bifurcation curves of limit cycles are calculated exactly in the weak (ǫ → 0) and in the strongly (ǫ → ∞) nonlinear regime in some examples. The number of limit cycles does not increase when ǫ increases from zero to infinity in all the cases analyzed.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2010

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2009.12.035