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Using Mawhin's continuation theorem, we discussed the existence of periodic solution for a class of nonlinear problem, and then investigated the problem of periodic solution of sport model of plasmas particle in the process of magnetosphere-ionosphere coupling. A result on the existence of periodic solution to the model is obtained.
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Keywords:
- nonlinear /
- plasmas /
- periodic solution
[1] Shangchu Y J, W B M H 2005 Magnetosphere-Ionosphere Coupling (Beijing: Science Press) (in Chinese) [上出洋介.W.鲍明翰著, 徐文耀译 2002 磁层-电离层耦合 (北京: 科学出版社)]
[2] Huang G L 2009 Astrophysics Space Science 321 79
[3] Aschwanden M 2002 Space Science Review 101 1
[4] Huang G L 2000 J. Plasma Physics 64 249
[5] Baldwin D E, Bernstein I B, Weenink M P H 1969 Advanced in plasma physics (New York: Wiley) p145
[6] Sakai J I 2005 Astrophysical Journal 622 L157
[7] Grechnev V V 2003 Astrophysical Journal 588 1163
[8] Siarkowski M, Falewicz R 2004 Astronomy and Astrophysics 428 219
[9] Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203
[10] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[11] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[12] Mo J Q 2009 Science in China Ser. G 39 568
[13] 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 58 6692]
[14] Mo J Q 2010 Chin. Phys. B 19 010203
[15] Mo J Q 2010 Commun. Theor Phys. 53 440
[16] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 60 020202]
[18] Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 60 030203]
[19] Wu Q K 2011 Acta Phys. Sin. 60 068820 (in Chinese) [吴钦宽 2011 60 068820]
[20] Wu Q K 2006 Acta Phys. Sin. 55 1561 (in Chinese) [吴钦宽 2006 55 1561]
[21] Li X J 2008 Chin. Phys. B 17 1946
[22] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]
[23] Liu C P 2000 Acta Phys. Sin. 49 1904 (in Chinese) [刘春平 2000 49 1904]
[24] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer)
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[1] Shangchu Y J, W B M H 2005 Magnetosphere-Ionosphere Coupling (Beijing: Science Press) (in Chinese) [上出洋介.W.鲍明翰著, 徐文耀译 2002 磁层-电离层耦合 (北京: 科学出版社)]
[2] Huang G L 2009 Astrophysics Space Science 321 79
[3] Aschwanden M 2002 Space Science Review 101 1
[4] Huang G L 2000 J. Plasma Physics 64 249
[5] Baldwin D E, Bernstein I B, Weenink M P H 1969 Advanced in plasma physics (New York: Wiley) p145
[6] Sakai J I 2005 Astrophysical Journal 622 L157
[7] Grechnev V V 2003 Astrophysical Journal 588 1163
[8] Siarkowski M, Falewicz R 2004 Astronomy and Astrophysics 428 219
[9] Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203
[10] Mo J Q, Lin Y H, Lin W T 2010 Chin. Phys. B 19 030202
[11] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[12] Mo J Q 2009 Science in China Ser. G 39 568
[13] 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 58 6692]
[14] Mo J Q 2010 Chin. Phys. B 19 010203
[15] Mo J Q 2010 Commun. Theor Phys. 53 440
[16] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[17] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 60 020202]
[18] Mo J Q 2011 Acta Phys. Sin. 60 030203 (in Chinese) [莫嘉琪 2011 60 030203]
[19] Wu Q K 2011 Acta Phys. Sin. 60 068820 (in Chinese) [吴钦宽 2011 60 068820]
[20] Wu Q K 2006 Acta Phys. Sin. 55 1561 (in Chinese) [吴钦宽 2006 55 1561]
[21] Li X J 2008 Chin. Phys. B 17 1946
[22] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法 (郑州: 河南科学技术出版社)]
[23] Liu C P 2000 Acta Phys. Sin. 49 1904 (in Chinese) [刘春平 2000 49 1904]
[24] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer)
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