CHEN Li-juan, LU Shi-ping. Homoclinic Orbit of the Motion Model for a Single Space Plasma Particle[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1258-1265. doi: 10.3879/j.issn.1000-0887.2013.12.004
Citation: CHEN Li-juan, LU Shi-ping. Homoclinic Orbit of the Motion Model for a Single Space Plasma Particle[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1258-1265. doi: 10.3879/j.issn.1000-0887.2013.12.004

Homoclinic Orbit of the Motion Model for a Single Space Plasma Particle

doi: 10.3879/j.issn.1000-0887.2013.12.004
Funds:  The National Natural Science Foundation of China(11271197); The Key Project of Chinese Ministry of Education(207047)
  • Received Date: 2013-05-06
  • Publish Date: 2013-12-16
  • Due to uncertainty and nonrepeatability 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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