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Using Mawhin's continuation theorem, the existence of periodic solution for a class of nonlinear problem is discussed, and then by using it, the problem of periodic solution of drift motion of the guidance center in earth's magnetosphere electromagnetic field is investigated. A result on the existence of periodic solution to the model is obtained, and the feasibility of our result is explained.
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Keywords:
- electric particle /
- drift motion /
- nonlinear /
- periodic orbits
[1] Yang G, Wang L, Tian J L 2013 Chin. Phys. B 22 127305
[2] Dzhalilov, N. S., V. D. Kuznetsov, J. Staude 2011 Contrib. Plasma Phys. 51 621
[3] Xu R L, Li L 2005 Dynamics of Magnetosphere Particle (Beijing: Science Press) pp78-81 (in Chinese) [徐荣栏, 李磊2005磁层粒子动力学(北京: 科学出版社)第78–81页]
[4] Gan S P, Hong M H, Wang X M 1993 Chinese Journal of Space Science 13 107
[5] Marques I 2005 Nonlinear Anal. 61 21
[6] Bartier J P 2006 Asmototic Anal. 46 325
[7] Ni W M, Wei J C 2006 J. Diff. Eqns. 221 158
[8] Mo J Q 2010 Commun. Theor Phys. 53 440
[9] Mo J Q 2010 Chin. Phys. B 19 010203
[10] Zhou X C, Shi L F, Mo J Q 2014 Chin．Phys．B 23 040202
[11] Chen L J, Lu S P 2012 Journal of Applied Mathematics 12 615303
[12] Lu S P, Chen L J 2012 J. Math. Anal. Appl 387 1127
[13] Lu S P, Zheng L, Chen L J 2013 Acta Mathematica Scientia 33 5
[14] Li X J 2010 Chin. Phys. B 19 020202
[15] Li X J 2012 Acta Phys. Sin. 61 210201(in Chinese) [李晓静 2012 61 210201]
[16] Chen L J, Lu S P, Mo J Q 2013 Acta Phys. Sin. 62 090201(in Chinese) [陈丽娟, 鲁世平, 莫嘉琪 2013 62 090201]
[17] Chen L J, Lu S P 2013 Acta Phys. Sin. 62 200201(in Chinese) [陈丽娟, 鲁世平 2013 62 200201]
[18] Tang X H, Li X 2009 Nonlinear Analysis 71 1124
[19] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer) pp16-16
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[1] Yang G, Wang L, Tian J L 2013 Chin. Phys. B 22 127305
[2] Dzhalilov, N. S., V. D. Kuznetsov, J. Staude 2011 Contrib. Plasma Phys. 51 621
[3] Xu R L, Li L 2005 Dynamics of Magnetosphere Particle (Beijing: Science Press) pp78-81 (in Chinese) [徐荣栏, 李磊2005磁层粒子动力学(北京: 科学出版社)第78–81页]
[4] Gan S P, Hong M H, Wang X M 1993 Chinese Journal of Space Science 13 107
[5] Marques I 2005 Nonlinear Anal. 61 21
[6] Bartier J P 2006 Asmototic Anal. 46 325
[7] Ni W M, Wei J C 2006 J. Diff. Eqns. 221 158
[8] Mo J Q 2010 Commun. Theor Phys. 53 440
[9] Mo J Q 2010 Chin. Phys. B 19 010203
[10] Zhou X C, Shi L F, Mo J Q 2014 Chin．Phys．B 23 040202
[11] Chen L J, Lu S P 2012 Journal of Applied Mathematics 12 615303
[12] Lu S P, Chen L J 2012 J. Math. Anal. Appl 387 1127
[13] Lu S P, Zheng L, Chen L J 2013 Acta Mathematica Scientia 33 5
[14] Li X J 2010 Chin. Phys. B 19 020202
[15] Li X J 2012 Acta Phys. Sin. 61 210201(in Chinese) [李晓静 2012 61 210201]
[16] Chen L J, Lu S P, Mo J Q 2013 Acta Phys. Sin. 62 090201(in Chinese) [陈丽娟, 鲁世平, 莫嘉琪 2013 62 090201]
[17] Chen L J, Lu S P 2013 Acta Phys. Sin. 62 200201(in Chinese) [陈丽娟, 鲁世平 2013 62 200201]
[18] Tang X H, Li X 2009 Nonlinear Analysis 71 1124
[19] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer) pp16-16
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