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A class of time delayed coupled system of the El Niñ,o-southern oscillation (ENSO) model is considered. By using the homotopic mapping method, the approximate expansion of the solution for the ENSO model is obtained and the asymptotic behavior of solution of corresponding problem is studied.
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Keywords:
- nonlinear /
- homotopic mapping method /
- Ei Niñ
[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、曹洪兴 2002 物理学报 51 1181]
[2] Liu S K, Fu Z T, Liu S D, Zhao Q 2002 Acta Phys. Sin. 51 10 (in Chinese) [刘式适、付遵涛、刘式达、赵 强 2002 物理学报 51 10]
[3] Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese) [封国林、戴新刚、王爱慧、丑纪范 2001 物理学报 50 606]
[4] Wang C Z 2001 Adv. Atmos. Sci. 18 674
[5] Lin W T, Ji Z Z, Wang B ,Yang X Z 2000 Chin. Sci. Bull. 45 1358
[6] Lin W T, Ji Z Z, Li S L, Yang X Z 2000 Prog. Nat. Sci. 10 936 (in Chinese) [林万涛、季仲贞、李双林、严晓仲 2000 自然科学进展 10 936]
[7] Lin W T, Ji Z Z, Wang B 2001 Acta Aerodyn. Sin. 19 348 (in Chinese) [林万涛、季仲贞、王 斌 2001 空气动力学报 19 348]
[8] Lin W T, Ji Z Z, Wang B 2001 Adv. Atmos. Sci. 18 413
[9] Lin W T, Ji Z Z, Wang B 2001 Adv. Atmos. Sci. 18 604
[10] Lin W T, Ji Z Z, Wang B 2002 Adv. Atmos. Sci. 19 699
[11] Lin W T, Ji Z Z, Wang B, Zhang X 2002 Prog. Nat. Sci. 12 1326 (in Chinese) [林万涛、季仲贞、王 斌、张 昕 2002 自然科学进展 12 1326]
[12] Bartier J P 2006 Asymptotic Anal 46 325
[13] Duehring D, Huang W Z 2007 J. Dyn. Diff. Eq. 19 457
[14] Guarguaglini F R, Natalini R 2007 Commun. Part. Diff. Eq. 32 163
[15] Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297
[16] Abid I, Jleli M, Trabelsi N 2008 Anal. Appl. Singap. 6 213
[17] Graef J R, Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[18] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[19] Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[20] Mo J Q, Lin W T 2008 J.Sys.Sci. Complex. 21 119
[21] Mo J Q, Wang H 2007 Acta Ecologica Sin. 27 4366
[22] Mo J Q 2009 Sci. Chin. Ser. G 39 568
[23] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[24] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]
[25] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]
[26] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何 铭 2006 物理学报 55 3233]
[27] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[28] Mo J Q, Lin W T, Wang H 2007 Prog. Nat. Sci. 17 230
[29] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007物理学报 56 3127]
[30] Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、林一骅、林万涛 2009 物理学报 58 6692]
[31] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[32] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[33] Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[34] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[35] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press).
[36] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学中的近似分析方法 (郑 州: 河南科学技术出版)] 〖37] De Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing)
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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、曹洪兴 2002 物理学报 51 1181]
[2] Liu S K, Fu Z T, Liu S D, Zhao Q 2002 Acta Phys. Sin. 51 10 (in Chinese) [刘式适、付遵涛、刘式达、赵 强 2002 物理学报 51 10]
[3] Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese) [封国林、戴新刚、王爱慧、丑纪范 2001 物理学报 50 606]
[4] Wang C Z 2001 Adv. Atmos. Sci. 18 674
[5] Lin W T, Ji Z Z, Wang B ,Yang X Z 2000 Chin. Sci. Bull. 45 1358
[6] Lin W T, Ji Z Z, Li S L, Yang X Z 2000 Prog. Nat. Sci. 10 936 (in Chinese) [林万涛、季仲贞、李双林、严晓仲 2000 自然科学进展 10 936]
[7] Lin W T, Ji Z Z, Wang B 2001 Acta Aerodyn. Sin. 19 348 (in Chinese) [林万涛、季仲贞、王 斌 2001 空气动力学报 19 348]
[8] Lin W T, Ji Z Z, Wang B 2001 Adv. Atmos. Sci. 18 413
[9] Lin W T, Ji Z Z, Wang B 2001 Adv. Atmos. Sci. 18 604
[10] Lin W T, Ji Z Z, Wang B 2002 Adv. Atmos. Sci. 19 699
[11] Lin W T, Ji Z Z, Wang B, Zhang X 2002 Prog. Nat. Sci. 12 1326 (in Chinese) [林万涛、季仲贞、王 斌、张 昕 2002 自然科学进展 12 1326]
[12] Bartier J P 2006 Asymptotic Anal 46 325
[13] Duehring D, Huang W Z 2007 J. Dyn. Diff. Eq. 19 457
[14] Guarguaglini F R, Natalini R 2007 Commun. Part. Diff. Eq. 32 163
[15] Hovhannisyan G, Vulanovic R 2008 Nonlinear Stud. 15 297
[16] Abid I, Jleli M, Trabelsi N 2008 Anal. Appl. Singap. 6 213
[17] Graef J R, Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[18] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[19] Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[20] Mo J Q, Lin W T 2008 J.Sys.Sci. Complex. 21 119
[21] Mo J Q, Wang H 2007 Acta Ecologica Sin. 27 4366
[22] Mo J Q 2009 Sci. Chin. Ser. G 39 568
[23] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[24] Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) [莫嘉琪 2009 物理学报 58 695]
[25] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 物理学报 58 2930]
[26] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何 铭 2006 物理学报 55 3233]
[27] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[28] Mo J Q, Lin W T, Wang H 2007 Prog. Nat. Sci. 17 230
[29] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007物理学报 56 3127]
[30] Mo J Q, Lin Y H, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、林一骅、林万涛 2009 物理学报 58 6692]
[31] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[32] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[33] Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[34] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[35] Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press).
[36] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学中的近似分析方法 (郑 州: 河南科学技术出版)] 〖37] De Jager E M, Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing)
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