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A class of sea-air coupled oscillator dynamic model is studied. Using the parameter modification and average method for the singular perturbation, the vibrating approximate solution corresponding to El Nino-Southern Oscillation (ENSO) coupled oscillation dynamic model equations is obtained.
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Keywords:
- ENSO oscillator /
- singular perturbation /
- approximate solution
[1] Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181 (in Chinese) [封国林, 董文杰, 贾晓静, 曹鸿兴 2002 51 1181]
[2] Guan X P, He Y H, Fan Z P 2003 Acta Phys. Sin. 52 276 (in Chinese) [关新平, 何宴辉, 范正平 2003 52 276]
[3] Li C G 2003 Acta Phys. Sin. 52 2114 (in Chinese) [李春贵 2003 52 2114]
[4] Li Z, Han C Z 2002 Chin. Phys. 11 9
[5] Lin J, Xu Y S 2003 Chin. Phys. 12 1049
[6] Hu Y Q 2002 Introductory to Atmospheric Thermodynamics and Dynamics–Linear and Nonlinear Thermodynamics of the Atmospheric Non-equilibrium State (Beijng: Geology Pub.) (in Chinese) [胡隐樵 2002 大气热力动力学导论–-大气非平衡态线性和非线性热力学 (北京: 地质出版社)]
[7] Jin F F 1997 J. Armos. Sci. 54 811
[8] Jin F F 1997 J. Armos. Sci. 54 830
[9] Wang C 2001 1999 J. Adv. Atmosph. Sci. 18 674
[10] Feng G L, Dong W J 2005 Acta Meteo. Sin. 63 864 (in Chinese) [封国林, 董文杰 2005 气象学报 63 864]
[11] Zhao Q, Liu S K, Liu S D 2012 Acta Phys. Sin. 61 220201 (in Chinese) [赵强, 刘式适, 刘式达 2012 61 220201]
[12] Liu S K, Liu S D 2012 Nonlinear Equations in Physics (Beijing: Peking University Press) (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (北京: 北京大学出版社)]
[13] de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
[14] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)
[15] Ramos M 2009 J. Math. Anal. Appl. 352 246
[16] D'Aprile T, Pistoia A 2010 J. Diff. Eqs. 248 556
[17] Faye L, Frenod E, Seck D 2011 Discrete Contin. Dyn. Sys. 29 1001
[18] Lin W T, Ji Z Z, Wang B 2002 Prog. Nat. Sci. 12 102 (in Chinese) [林万涛, 季仲贞, 王斌 2002 自然科学进展 12 102]
[19] Lin W T, Mo J Q 2004 Chin. Sci. Bull. 48 (suppl II) 5
[20] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 010204
[21] Shi L F, Ouyang C, Chen L H, Mo J Q 2012 Acta Phys. Sin. 61 050203 (in Chinese) [石兰芳, 欧阳成, 陈丽华, 莫嘉琪 2012 61 050203]
[22] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010201 (in Chinese) 石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 62 010201]
[23] Mo J Q, Lin Y H, Lin W T, Chen L H 2012 Chin. Geog. Sci. 22 42
[24] Mo J Q 2009 Science in China G 39 568
[25] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 59 6701]
[26] Mo J Q, Lin W T, Lin Y H 2011 Acta Phys. Sin. 60 080202 (in Chinese) [莫嘉琪, 林万涛, 林一骅 2011 60 080202]
[27] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 60 090203]
[28] Mo J Q 2010 Commun. Theor. Phys. 53 440
[29] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[30] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
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[1] Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181 (in Chinese) [封国林, 董文杰, 贾晓静, 曹鸿兴 2002 51 1181]
[2] Guan X P, He Y H, Fan Z P 2003 Acta Phys. Sin. 52 276 (in Chinese) [关新平, 何宴辉, 范正平 2003 52 276]
[3] Li C G 2003 Acta Phys. Sin. 52 2114 (in Chinese) [李春贵 2003 52 2114]
[4] Li Z, Han C Z 2002 Chin. Phys. 11 9
[5] Lin J, Xu Y S 2003 Chin. Phys. 12 1049
[6] Hu Y Q 2002 Introductory to Atmospheric Thermodynamics and Dynamics–Linear and Nonlinear Thermodynamics of the Atmospheric Non-equilibrium State (Beijng: Geology Pub.) (in Chinese) [胡隐樵 2002 大气热力动力学导论–-大气非平衡态线性和非线性热力学 (北京: 地质出版社)]
[7] Jin F F 1997 J. Armos. Sci. 54 811
[8] Jin F F 1997 J. Armos. Sci. 54 830
[9] Wang C 2001 1999 J. Adv. Atmosph. Sci. 18 674
[10] Feng G L, Dong W J 2005 Acta Meteo. Sin. 63 864 (in Chinese) [封国林, 董文杰 2005 气象学报 63 864]
[11] Zhao Q, Liu S K, Liu S D 2012 Acta Phys. Sin. 61 220201 (in Chinese) [赵强, 刘式适, 刘式达 2012 61 220201]
[12] Liu S K, Liu S D 2012 Nonlinear Equations in Physics (Beijing: Peking University Press) (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (北京: 北京大学出版社)]
[13] de Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
[14] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)
[15] Ramos M 2009 J. Math. Anal. Appl. 352 246
[16] D'Aprile T, Pistoia A 2010 J. Diff. Eqs. 248 556
[17] Faye L, Frenod E, Seck D 2011 Discrete Contin. Dyn. Sys. 29 1001
[18] Lin W T, Ji Z Z, Wang B 2002 Prog. Nat. Sci. 12 102 (in Chinese) [林万涛, 季仲贞, 王斌 2002 自然科学进展 12 102]
[19] Lin W T, Mo J Q 2004 Chin. Sci. Bull. 48 (suppl II) 5
[20] Lin W T, Lin Y H, Mo J Q 2012 Chin. Phys. B 21 010204
[21] Shi L F, Ouyang C, Chen L H, Mo J Q 2012 Acta Phys. Sin. 61 050203 (in Chinese) [石兰芳, 欧阳成, 陈丽华, 莫嘉琪 2012 61 050203]
[22] Shi L F, Lin W T, Lin Y H, Mo J Q 2013 Acta Phys. Sin. 62 010201 (in Chinese) 石兰芳, 林万涛, 林一骅, 莫嘉琪 2013 62 010201]
[23] Mo J Q, Lin Y H, Lin W T, Chen L H 2012 Chin. Geog. Sci. 22 42
[24] Mo J Q 2009 Science in China G 39 568
[25] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 59 6701]
[26] Mo J Q, Lin W T, Lin Y H 2011 Acta Phys. Sin. 60 080202 (in Chinese) [莫嘉琪, 林万涛, 林一骅 2011 60 080202]
[27] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 60 090203]
[28] Mo J Q 2010 Commun. Theor. Phys. 53 440
[29] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[30] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
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