简介:InthedischargeofEASTtokamak,itisobservedthat(2,1)neoclassicaltearingmode(NTM)istriggeredbymodecouplingwitha(1,1)internalmode.Usingsingularvaluedecomposition(SVD)methodforsoftX-rayemissionandforelectroncyclotronemission(ECE),thecouplingspatialstructuresandcouplingprocessbetweenthesetwomodesareanalyzedindetail.TheresultsofSVDforECErevealthatthephasedifferencebetweenthesetwomodesequalstozero.Thisisconsistentwiththeperfectcouplingcondition.Finally,performingstatisticalanalysisofγ1/1,ζ1/1andω2/1,wefindthatγ1/1moreaccuratelyrepresentsthecouplingstrengththanζ1/1,andγ1/1isalsostronglyrelatedtothe(2,1)NTMtriggering,whereγ1/1isthewidthof(1,1)internalmode,ζ1/1istheperturbedamplitudeof(1,1)internalmode,andω2/1denotesthemagneticislandwidthof(2,1)NTM.
简介:苏(1,1)动态对称具有在在理论、适用的物理分析无界的量系统的基本重要性。在这份报纸,我们学习与苏一起与量系统联系的概括协调状态的控制(1,1)动态对称。在苏上基于一个假Riemannian度量标准(1,1)组,我们为最小化驾驶系统到需要的最后的状态的控制的领域fluence获得必要条件。进一步的分析证明候选人最佳的控制答案能被分类进正常、反常的extremals。当控制Hamiltonian是非寓言的时,反常extremals能仅仅是经常的函数,当正常extremals能被Weierstrass椭圆形的函数根据控制Hamiltonian的parabolicity表示时。作为一种特殊情况,最大地挤压一个概括协调状态的最佳的控制解决方案是一个正弦曲线领域,它与在实验室被使用的一致。
简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.