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Using Mawhin's continuation theorem, the existence of periodic solutions for a class of nonlinear problem are first discussed, and then by using it, the problem of periodic solutions for a delayed sea-air oscillator coupling model for the ENSO is investigated. A new result on the existence of periodic solutions to the model is obtained.
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Keywords:
- nonlinear /
- ElNio-Southern Oscillat /
- periodic solution
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Kushnir Y, Robinson W A 2002 J. Climate 15 2233
[3] Feng G L, Dong W J, Jia X J 2002 Acta Phys. Sin. 51 1181 (in Chinese) [封国林、董文杰、贾晓静 2002 51 1181]
[4] Han X L 2005 Acta Phys. Sin. 54 259 (in Chinese) [韩祥临 2005 54 259]
[5] Liu S K, Fu Z T, Liu S D 2002 Acta Phys. Sin. 51 10 (in Chinese) [刘式适、傅遵涛、刘式达 2002 51 10]
[6] Biondi F, Gershunov A, Cayan D R 2001 J. Climate 14 5
[7] Wang C Z 2001 J. Climate 14 98
[8] Neelin J D, Battisti D S, Hirst A C 1998 J. Geophys. Res. 103 262
[9] McCreary J P 1983 Mon. Wea. Rev. 111 370
[10] Suarez M J, Schopf P S 1988 J. Atmos. Sci. 45 3283
[11] Mo J Q, Zhu J, Wang H 2003 Progress in Natural Sci. 13 768
[12] Mo J Q, Lin W T, Zhu J 2004 Progress in Natural Sci. 14 550
[13] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 996 (in Chinese) [莫嘉琪、林万涛 2004 53 996]
[14] Mo J Q, Lin W T, Zhu J 2004 Acta Phys. Sin. 53 3245 (in Chinese) [莫嘉琪、林万涛、朱江 2004 53 3245]
[15] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 993 (in Chinese) [莫嘉琪、林万涛 2005 54 993]
[16] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 1081(in Chinese) [莫嘉琪、林万涛 2005 54 1081]
[17] Mo J Q, Lin W T, Wang H 2005 Acta Phys. Sin. 54 3967 (in Chinese) [莫嘉琪、林万涛、王辉 2005 54 3967]
[18] Mo J Q, Lin Y H, Lin W T 2005 Acta Phys. Sin. 54 3971 (in Chinese) [莫嘉琪、林一骅、林万涛 2005 54 3971]
[19] Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[20] Lin W T, Mo J Q 2004 Chinese Science Bulletin 48 II 5
[21] Mo J Q,Wang H, Lin W T 2006 Acta Phys. Sin. 55 3229 (in Chinese) [莫嘉琪、王 辉、林万涛 2006 55 3229]
[22] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations(Berlin:Springer)
[23] X.H.Tang,Li X 2009 Nonlinear Analysis 71 1140
-
[1] McPhaden M J, Zhang D 2002 Nature 415 603
[2] Kushnir Y, Robinson W A 2002 J. Climate 15 2233
[3] Feng G L, Dong W J, Jia X J 2002 Acta Phys. Sin. 51 1181 (in Chinese) [封国林、董文杰、贾晓静 2002 51 1181]
[4] Han X L 2005 Acta Phys. Sin. 54 259 (in Chinese) [韩祥临 2005 54 259]
[5] Liu S K, Fu Z T, Liu S D 2002 Acta Phys. Sin. 51 10 (in Chinese) [刘式适、傅遵涛、刘式达 2002 51 10]
[6] Biondi F, Gershunov A, Cayan D R 2001 J. Climate 14 5
[7] Wang C Z 2001 J. Climate 14 98
[8] Neelin J D, Battisti D S, Hirst A C 1998 J. Geophys. Res. 103 262
[9] McCreary J P 1983 Mon. Wea. Rev. 111 370
[10] Suarez M J, Schopf P S 1988 J. Atmos. Sci. 45 3283
[11] Mo J Q, Zhu J, Wang H 2003 Progress in Natural Sci. 13 768
[12] Mo J Q, Lin W T, Zhu J 2004 Progress in Natural Sci. 14 550
[13] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 996 (in Chinese) [莫嘉琪、林万涛 2004 53 996]
[14] Mo J Q, Lin W T, Zhu J 2004 Acta Phys. Sin. 53 3245 (in Chinese) [莫嘉琪、林万涛、朱江 2004 53 3245]
[15] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 993 (in Chinese) [莫嘉琪、林万涛 2005 54 993]
[16] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 1081(in Chinese) [莫嘉琪、林万涛 2005 54 1081]
[17] Mo J Q, Lin W T, Wang H 2005 Acta Phys. Sin. 54 3967 (in Chinese) [莫嘉琪、林万涛、王辉 2005 54 3967]
[18] Mo J Q, Lin Y H, Lin W T 2005 Acta Phys. Sin. 54 3971 (in Chinese) [莫嘉琪、林一骅、林万涛 2005 54 3971]
[19] Mo J Q, Lin W T 2005 Chin. Phys. 14 875
[20] Lin W T, Mo J Q 2004 Chinese Science Bulletin 48 II 5
[21] Mo J Q,Wang H, Lin W T 2006 Acta Phys. Sin. 55 3229 (in Chinese) [莫嘉琪、王 辉、林万涛 2006 55 3229]
[22] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations(Berlin:Springer)
[23] X.H.Tang,Li X 2009 Nonlinear Analysis 71 1140
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