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LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL SYSTEMS

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摘要 UsingtheaveragingtheoryoffirstandsecondorderwestudythemaximumnumberoflimitcyclesofgeneralizedLinarddifferentialsystems{x=y+εhl1（x）+ε2hl2（x）,y=-x-ε(fn1（x）y2p+1+gm1（x）)+∈2(fn2（x）y2p+1+gm2（x）),whichbifurcatefromtheperiodicorbitsofthelinearcenterx=y,y=-x,whereεisasmallparameter.Thepolynomialshl1andhl2havedegreel;fn1andfn2havedegreen;andgm1,gm2havedegreem.p∈Nand[·]denotestheintegerpartfunction.

DOI n498wgkxdy/1668611

作者 Amel Boulfoul;Amar Makhlouf

机构地区不详

出处《应用数学年刊：英文版》 2016年3期

关键词 limit cycle PERIODIC ORBIT Li′enard differential

分类 [理学][基础数学]

出版日期 2016年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

应用数学年刊：英文版

应用数学年刊：英文版

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相关关键词

limit cycle PERIODIC ORBIT Li′enard differential

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