地球磁层电磁场中粒子引导中心漂移运动模型的周期轨

陈丽娟; 鲁世平

doi:10.7498/aps.63.190202

摘要

运用Mawhin重合度理论探讨了一类非线性问题的周期解，然后将其应用于地球磁层电磁场中粒子引导中心漂移运动模型的周期轨的研究，得到了一定条件下该模型存在周期轨的结果.

关键词:

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.

Keywords:

作者及机构信息

1.
南京信息工程大学数学与统计学院, 南京 210044

基金项目: 国家自然科学基金（批准号：11271197）、江苏省普通高校研究生科研创新计划项目（批准号：CXLX13_502）和南京信息工程大学科研基金（批准号：20110387;2012r101）资助的课题.

Authors and contacts

1.
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Funds: Project supported by the National Natural Science Foundation of China(Grant No. 11271197), the Innovation Program Award for Graduate Student in Jiangsu, China (Grant No. CXLX13_502), and the Science Foundation in NUIST of China (Grant No. 20110387, 2012r101).

参考文献

[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 物理学报 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 物理学报 62 090201]
[17]	Chen L J, Lu S P 2013 Acta Phys. Sin. 62 200201(in Chinese) [陈丽娟, 鲁世平 2013 物理学报 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

施引文献

[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 物理学报 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 物理学报 62 090201]
[17]	Chen L J, Lu S P 2013 Acta Phys. Sin. 62 200201(in Chinese) [陈丽娟, 鲁世平 2013 物理学报 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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