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Issue 1
Jan.  2013
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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.

Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems

  • Received Date: 2011-10-01
  • Rev Recd Date: 2012-01-01
  • Publish Date: 2013-01-25
  • 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.
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  • [1]
    {1}

    HAN M A, LIU X. Hopf bifurcation for non-smooth

    Li\'{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 Liénard

    systems[J]. J Diff Eqs, 2011, 251: 834-859.


    {3}

     YANG L, LIU X, XING Y P. Study of limit cycles for some

    non-smooth Lienard systems[J]. Journal of East China Normal

    University (Natural Science). 2011, (3): 44-53.
    {4}

    COLL B, GASULL A, PROHENS R. Limit cycles for non smooth

    differential equations via schwarzian derivative[J]. J Diff Eqs,

    1996, 132: 203-221.
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