一类ENSO海-气振子时滞耦合动力系统

详细信息    查看全文 | 推荐本文 |

英文篇名：A Class of ENSO Sea-air Oscillator Time Delay Coupling Dynamic System 作者：欧阳成 ; 汪维刚 ; 莫嘉琪 英文作者：OUYANG CHENG;WANG WEIGANG;MO JIAQI;Faculty of Science, Huzhou University;Department of Basic, Hefei Preschool Education College;School of Mathematics & Statistics, Anhui Normal University; 关键词：非线性 ; 动力系统 ; ENSO模型 英文关键词：nonlinear;;dynamic system;;ENSO model 中文刊名：YYSU 英文刊名：Acta Mathematicae Applicatae Sinica 机构：湖州师范学院理学院;合肥幼儿师范高等专科学校;安徽师范大学数学和统计学院; 出版日期：2019-05-15 出版单位：应用数学学报 年：2019 期：v.42 基金：国家自然科学基金(11771005);; 浙江省自然科学基金(LY13A010005);; 安徽省教育厅自然科学重点基金(KJ2017A901,KJ2018A0964);; 安徽省教育科学规划课题(JG10068)资助项目 语种：中文; 页：YYSU201903005 页数：11 CN：03 ISSN：11-2040/O1 分类号：48-58

摘要

描述了一类厄尔尼诺/拉尼娜-南方涛动(ENSO)动力系统.首先求得了退化模型的解,其次对方程的时滞函数作了处理,然后利用摄动方法得到了对应问题的渐近解.最后,研究了模型的参数对振子系统的影响并做出了对应的曲线图形,同时对系统的物理量的变化作了描述.
        A class of El Nino/La Nina-Southern Oscillation(ENSO)dynamic system is described.Firstly,the reduced solution to dynamic system was got.Secondly,the time delay function of equation was managed.Then the asymptotic solution to the corresponding problem was obtained by employing the pertu rbation method.Finally,the parameters of the dynamic system were studied and the curve figures of the solution were obtained.And the physical quantities of the dynamic system were illustrated.

引文

[1]Jin F F,Boucharel J,Lin I I.Eastern Pacific tropical cyclones intensified by El Nino delivery of subsurface ocean heat.Nature, 2014,516(7529):82-U178
    [2]Power S,Delage F,Chung C,et al.Robust twenty-first-century projections of El Nino and related precipitation variability.Nature,2013,502(7472):541-556
    [3]Rustic G T,Koutavas A,Marchitto T M,et al.Dynamical excitation of the tropical Pacific Ocean and ENSO variability by little ice age cooling.Science,2015,350(6267):1537-1541
    [4]Ford H L,Ravelo A C,Polissar P J.Reduced El Nino-Southern Oscillation during the last gacial maximum.Science,2015,347(6219):255-258
    [5]Lu K C,Zhang Y C,Zhang M.Barotropic quasi-equilibrium ocean model and its solution.PartⅠ:Mil-laitude forcing of large-scalewind field.Scientia Meteorologica Sinica,2011,31(1):11-16
    [6]Lu K C,Zhang Y C,Zhang M.Barotropic quasi-equilibrium ocean model and its solution.PartⅡ:Mil-laitude free vortex fluctuation.Scientia Meteorologica Sinica,2011,31(1):17-23
    [7]Zhou T J,Zhang J.The vertical structures of atmospheric temperature anomalies associated with two flavors of El Nino Simulated by AMIP II models.Journal of Climate,2011,24(4):1053-1070
    [8]Jin F F.An equatorial ocean recharge paradigm for ENSO,Part :Conceptual model.J.Atmos.Sci.,1977,54:811-829
    [9]Jin F F.An equatorial ocean recharge paradigm for ENSO,PartⅡ:A stripped-down coupled mpdel.J.Atmos.Sci.,1977,54:830-847
    [10]Lin Wantao,Ji Zhongzhen,Wang Bin,et al.A new method for judging the computational stability of the difference schemes of non-linear evolution equations.Chin.Sci.Bull.,2000,45(15):1358-1361
    [11]Lin Wantao,Ji Zhongzhen,Wang Bin.A comparative analysis of computational stability for linear and non-linear evolution equations.Adv.Atmos.Sci.,2002,19(4):699-704
    [12]Lin Wantao,Ji Zhongzhen Wang Bin.Forced dissipative nonlinear evolution equation and complete square conservative difference scheme.Acta Aerodynamica Sin.,2001,19(3):348-353
    [13]Lin Wantao,Ji Zhongzhen,Wang Bin,et al.A comparative study of conservative and non-conservative scheme.Prog.Nat.Sci.,2002,12(12):1326-1328
    [14]Lin Wantao,Mo Jiaqi.Asymptotic behavior of perturbed solution for simple coupled ocean-atmosphere model for ENSO.Chinese Science Bulletin,2004,48Ⅱ:5-7
    [15]Barbu,L,Morosanu,G.Singularly Perturbed Boundary-Value Problems.Basel:Birkhauserm Verlag AG,2007
    [16]de Jager,E M,Jiang Furu.The Theory of Singular Perturbation.Amsterdam:North-Holland Publishing Co.,1996
    [17]Mo Jiaqi,Wang Hui,Lin Wantao.Perturbed solution of sea-air oscillator for the El Nino/La NinoSouthern oscillation mechanism.Acta Math.Sci.,2005,25B(4):710-714
    [18]莫嘉琪,林万涛.厄尔尼诺海-气振子的同伦解法.物理学报,2005,54(3):3971-3974(Mo Jiaqi,Lin Wantao.The homotopic solving method for a class of El Nino sea-air cscillator mechanism.Acta Phys,Sin.,2005,54(3):3971-3974)
    [19]Mo Jiaqi,Lin Yihua,Lin Wantao,et al.Perturbed solving method for interdecadal sea-air oscillator model.Chin.Geographical Sci.,2012,22(1):42-47
    [20]Mo Jiaqi,Lin Wantao,Lin Yihua.Asymptotic solution for the El Nino time delay searair oscillator model.Chin.Phys.B,2011,20(7):070205
    [21]Mo Jiaqi,Lin Wantao.Generalized variation iteration solution of an atmosphere-ocean oscillator model for global climateplexity.J.Sis.Sci.(?)Complex,2011,24(2):271-276
    [22]欧阳成,林万涛,程荣军等.一类厄尔尼诺海-气时滞振子的渐近解.物理学报,2013,62(6):060201(Ouyang Cheng,Lin Wantao,Cheng Rongjun,et al.A class of asymptotic solution of searair time delay oscillator for the El Nino-southern oscillation mechanism.Acta Phys.Sin.,2013,62(6):060201)
    [23]汪维刚,林万涛,石兰芳等.非线性扰动时滞长波系统孤波近似解.物理学报,2014,63(11):110204(Wang Weigang,Lin Wantao,Shi Lanfang,et al.Approximate solution of solitary wave for nonlineardisturbed time delay long-wave system.Acta Phys.Sin.,2014,63(11):110204)