Hopf Bifurcation of Z2-Equivariant Generalized Liénard Systems
2018 ◽
Vol 28
(06)
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pp. 1850069
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Keyword(s):
In this paper, we consider a class of Liénard systems, described by [Formula: see text], with [Formula: see text] symmetry. Particular attention is given to the existence of small-amplitude limit cycles around fine foci when [Formula: see text] is an odd polynomial function and [Formula: see text] is an even function. Using the methods of normal form theory, we found some new and better lower bounds of the maximal number of small-amplitude limit cycles in these systems. Moreover, a complete classification of the center conditions is obtained for such systems.
2021 ◽
Vol 31
(12)
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pp. 2150176
2012 ◽
Vol 22
(08)
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pp. 1250203
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Keyword(s):
2016 ◽
Vol 26
(05)
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pp. 1650079
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Keyword(s):
2013 ◽
Vol 2013
◽
pp. 1-9
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Keyword(s):
2015 ◽
Vol 2015
◽
pp. 1-15
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