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A class of delayed oscillator of El Nio-Southern Oscillation (ENSO) coupling systems is considered. Using the delayed theory, perturbation and other methods, the asymptotic expansion of the solution for ENSO model is obtained and the asymptotic behavior of solution for the corresponding problem is studied.
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Keywords:
- nonlinear /
- perturbation /
- ENSO model
[1] Bjerknes J A 1996 Tellus. 18 820
[2] Schopf P S, Suarez M J 1988 J. Atmos. Sci. 45 549
[3] Philander S G, Lau N C, Pacanowski R C 1989 Philos. Trans. Roy. Soc. London Ser A 329 167
[4] Wang C 2001 Advan. Atmos. Sci. 18 674
[5] Neelin J D 1990 J. Atmos. Sci. 47 674
[6] Neelin J D, Latif M, Jin F F 1994 Annu. Rev. Fluid Mech. 26 617
[7] McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962
[8] Gill A E 1985 Elsevier Oceanography Series 40 303
[9] Wakata Y, Sarachik E S 1991 J. Atmos.Sci. 48 2060 Jin F F, Neelin J D 1993 J. Atmos. Sci. 50 3523
[10] Jin F F, Neelin J D, Ghil M 1994 Science 264 70
[11] Wang C, Weisberg R H, Virmani J I 1999 J. Geophys. Res. 104 5131
[12] Wang B, Wang Y 1996 J. Climate 9 1586
[13] Wang B, Fang Z 1996 J. Atmos. Sci. 53 2786
[14] Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5
[15] Wang C 2001 Advances in Atmospheric Sciences 18 674
[16] Dai X G, Wang A H, Chou J F 2001 Chin. Phys. Sin. 50 606 (in Chinese) [戴新刚、王爱慧、周继发2001 50 606]
[17] Feng G L, Dong W J, Jia X J 2002 Chin. Phys. Sin. 51 1181 (in Chinese) [封国林、董文杰、贾晓静 2002 51 1181]
[18] Liu S K, Fu Z T, Liu S D 2002 Chin. Phys. Sin. 51 10 (in Chinese) [刘士适、傅遵涛、刘士达2002 51 10]
[19] de Jager E M, Jiang F 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[20] Ramos M 2009 J. Math. Anal. Appl. 352 246
[21] Martinez S, Wolanski N 2009 SIAM J. math. Anal. 4 318
[22] Kellogg R B, Kopteva N A 2010 J. Differ. Equations 248 184
[23] D’Aprile T, Pistoia A 2010 J. Differ. Equations 248 556
[24] Ei S I, Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[25] Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5
[26] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 996 (in Chinese) [莫嘉琪、林万涛 2004 53 996]
[27] Mo J Q, Lin Y, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、林万涛 2009 58 6692]
[28] Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[29] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[31] Mo J Q, Lin W T,Wang H 2009 Acta Math. Sinica 29 101
[32] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys.B 18 3624
[33] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys.B 19 030202
[34] Mo J Q 2010 Chin. Phys. B 19 010203
[35] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202.
[36] O’Malley R E 1974 Introdction to Singular Perturbation (New York: Academic Press)
[37] Wang C 2001 Advances in Atmospheric Sciences 18 674
-
[1] Bjerknes J A 1996 Tellus. 18 820
[2] Schopf P S, Suarez M J 1988 J. Atmos. Sci. 45 549
[3] Philander S G, Lau N C, Pacanowski R C 1989 Philos. Trans. Roy. Soc. London Ser A 329 167
[4] Wang C 2001 Advan. Atmos. Sci. 18 674
[5] Neelin J D 1990 J. Atmos. Sci. 47 674
[6] Neelin J D, Latif M, Jin F F 1994 Annu. Rev. Fluid Mech. 26 617
[7] McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962
[8] Gill A E 1985 Elsevier Oceanography Series 40 303
[9] Wakata Y, Sarachik E S 1991 J. Atmos.Sci. 48 2060 Jin F F, Neelin J D 1993 J. Atmos. Sci. 50 3523
[10] Jin F F, Neelin J D, Ghil M 1994 Science 264 70
[11] Wang C, Weisberg R H, Virmani J I 1999 J. Geophys. Res. 104 5131
[12] Wang B, Wang Y 1996 J. Climate 9 1586
[13] Wang B, Fang Z 1996 J. Atmos. Sci. 53 2786
[14] Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5
[15] Wang C 2001 Advances in Atmospheric Sciences 18 674
[16] Dai X G, Wang A H, Chou J F 2001 Chin. Phys. Sin. 50 606 (in Chinese) [戴新刚、王爱慧、周继发2001 50 606]
[17] Feng G L, Dong W J, Jia X J 2002 Chin. Phys. Sin. 51 1181 (in Chinese) [封国林、董文杰、贾晓静 2002 51 1181]
[18] Liu S K, Fu Z T, Liu S D 2002 Chin. Phys. Sin. 51 10 (in Chinese) [刘士适、傅遵涛、刘士达2002 51 10]
[19] de Jager E M, Jiang F 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co)
[20] Ramos M 2009 J. Math. Anal. Appl. 352 246
[21] Martinez S, Wolanski N 2009 SIAM J. math. Anal. 4 318
[22] Kellogg R B, Kopteva N A 2010 J. Differ. Equations 248 184
[23] D’Aprile T, Pistoia A 2010 J. Differ. Equations 248 556
[24] Ei S I, Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[25] Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5
[26] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 996 (in Chinese) [莫嘉琪、林万涛 2004 53 996]
[27] Mo J Q, Lin Y, Lin W T 2009 Acta Phys. Sin. 58 6692 (in Chinese) [莫嘉琪、 林一骅、林万涛 2009 58 6692]
[28] Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[29] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 743
[31] Mo J Q, Lin W T,Wang H 2009 Acta Math. Sinica 29 101
[32] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys.B 18 3624
[33] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys.B 19 030202
[34] Mo J Q 2010 Chin. Phys. B 19 010203
[35] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202.
[36] O’Malley R E 1974 Introdction to Singular Perturbation (New York: Academic Press)
[37] Wang C 2001 Advances in Atmospheric Sciences 18 674
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