Homoclinic Orbit of the Motion Model for a Single Space Plasma Particle
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摘要: 由于空间等离子体间接观察的不确定性和不可重复性以及只能进行被动实验的局限性,为了准确地描述空间等离子体粒子运动的动力学特征,建立了一类太空等离子体单粒子运动的非线性模型.首先运用重合度理论探讨了一类非线性问题的周期解,然后将其应用于太空等离子体单粒子运动模型的同宿轨问题的研究,获得了该模型存在同宿轨的新结果,为研究空间环境提供了更好的观测和理论基础.Abstract: Due to uncertainty and nonrepeatability in the indirect observation of space plasma, and limitation of the passive experiment, in order to describe the dynamic characteristics of the space plasma particle motion accurately, a nonlinear motion model of a single space plasma particle was proposed. By dint of Mawhin’s continuation theorem, the existence of periodic solutions to a class of nonlinear problems was discussed, and in turn, the homoclinic orbit of the motion model for a single space plasma particle was investigated. A new result about the existence of the homoclinic orbit was obtained. The result provides a better basis for observation and theoretical study in space environment.
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Key words:
- nonlinear /
- space plasma /
- periodic solution /
- homoclinic orbit
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[1] McLean D J. Solar Radiophysics [M]. London: Cambridge University Press, 1985. [2] [3] HUANG Guang-li. Turbulent spectrum of Alfvén waves excited by a kinetic instability for explaining the modulations with multi-timescales in solar flares[J]. Astrophysics and Space Science,2009, 321(2): 79-89. [4] [5] Aschwanden M J. Particle Acceleration and Kinematics in Solar Flares [M]. Netherlands: Springer, 2002: 187-227. [6] [7] Sakai J I, Kitamoto T, Saito S. Simulation of solar type III radio bursts from a magnetic reconnection[J]. The Astrophysical Journal Letters,2005, 622(2): 157-160. [8] Grechnev V V, White S M, Kundu M R. Quasi-periodic pulsations in a solar microwave burst[J]. Astrophysical Journal,2003, 588(2): 1163-1175. [9] [10] HUANG Guang-li, JI Hai-sheng. Radio, hard X-ray, EUV and optical study of september 9, 2002 solar flare[J]. Astrophysics and Space Science,2006, 301(1/4): 65-71. [11] [12] MO Jia-qi, LIN Su-rong. The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation[J]. Chin Phys B,2009, 18(9): 3628-3631. [13] [14] MO Jia-qi. Solution of travelling wave for nonlinear disturbed long-wave system[J].Commun Theor Phys,2011, 55(3): 387-390. [15] [16] MO Jia-qi, CHEN Xian-feng. Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. Chin Phys B,2010, 19(10): 100203. [17] [18] MO Jia-qi, LIN Wan-tao, WANG Hui. A class of homotopic solving method for ENSO model[J]. Acta Math Sci,2009, 29(1): 101-110. [19] [20] 姚静荪, 欧阳成, 陈丽华, 莫嘉琪. 非线性扰动耦合Schrodinger系统激波的近似解法[J]. 应用数学和力学, 2012, 33(12): 1477-1486.(YAO Jing-sun, OUYANG Cheng, CHEN Li-hua, MO Jia-qi. Approximate solving method of shock for nonlinear disturbed coupled Schrdinger system[J]. Applied Mathematics and Mechanics,2012, 33(12): 1477-1486.(in Chinese)) [21] 李晓静. 厄尔尼诺大气物理机制的周期解[J]. 物理学报, 2008, 57(9): 5366-5368.(LI Xiao-jing. The periodic solutions of EI Nio mechanism of atmospheric physics[J]. Acta Physica Sinica,2008, 57(9): 5366-5368.(in Chinese)) [22] [23] Tang X H, LI Xiao. Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential[J]. Nonlinear Analysis: Theory, Methods & Applications,2009, 71(3/4): 1124-1132. [24] [25] Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations [M]. Berlin: Springer, 1977. [26] [27] Kivelson M G, Russell C T. Introduction to Space Physics [M]. Cambridge, New York: Cambridge University Press, 1995. [28]
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