地球磁层电磁场中粒子引导中心漂移运动模型的周期轨

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。%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.