摘要
WegivearigorousproofoftheequivalenceofMa’ssupercriticalpotentialandtheminimalactionwithrespecttoanassociatedJacobi-Finslermetric.Asaconsequence,wegiveanexplicitrepresentationoftheweakKAMsolutionsofone-dimensionalmechanicalsystemswithoutthequadraticassumptiononthekineticenergytermoftheHamiltonians,andacriterionoftheintegrabilityresultforsuchasystemofarbitrarydegreeoffreedombytheregularityassumptiononMather’sα-functionisdiscussed.
出版日期
2012年11月21日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)