The center conditions and local bifurcation of critical periods for a Liénard system |
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Authors: | Qiujin Xu Wentao Huang |
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Institution: | Department of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, PR China |
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Abstract: | In this paper we study the problems of centers and isochronous centers and the local bifurcation of critical periods for a Liénard system with forth damping. Calculating the singular point values and period constants, we find all center conditions and isochronous center conditions. Moreover, the numbers of local critical periods bifurcating from centers and isochronous centers is obtained by computing the orders of weak centers. |
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Keywords: | Lié nard system Period constants Isochronous centers Bifurcation of critical periods |
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