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LIU Xia, LIU Yan-wei. Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 47-53.
Citation:
LIU Xia, LIU Yan-wei. Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 47-53.
LIU Xia, LIU Yan-wei. Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 47-53.
Citation:
LIU Xia, LIU Yan-wei. Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 47-53.
Based on the results by HAN Mao-an, et al. for computing
some focus values of non-smooth Li\'{e}nard systems, the number of
limit cycles bifurcated from the origin of some more general
non-smooth Li\'{e}nard systems were given by using maple process.
{1}HAN M A, LIU X. Hopf bifurcation for non-smoothLi\'{e}nard systems[J]. Int J Bifurcation and Chaos, 2009, 19(7):2401-2415.{2}TIAN Y, HAN M A. Hopf bifurcation for two types of Liénardsystems[J]. J Diff Eqs, 2011, 251: 834-859.{3} YANG L, LIU X, XING Y P. Study of limit cycles for somenon-smooth Lienard systems[J]. Journal of East China NormalUniversity (Natural Science). 2011, (3): 44-53.{4}COLL B, GASULL A, PROHENS R. Limit cycles for non smoothdifferential equations via schwarzian derivative[J]. J Diff Eqs,1996, 132: 203-221.