Periodic Orbits of Electric Particles Sporting in Neutral Sheet Magnetic Field Without Dawn-Dusk Electric Field

CHEN Li-juan; LU Shi-ping

doi:10.3879/j.issn.1000-0887.2014.11.011

Volume 35 Issue 11

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CHEN Li-juan, LU Shi-ping. Periodic Orbits of Electric Particles Sporting in Neutral Sheet Magnetic Field Without Dawn-Dusk Electric Field[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1280-1286. doi: 10.3879/j.issn.1000-0887.2014.11.011

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Periodic Orbits of Electric Particles Sporting in Neutral Sheet Magnetic Field Without Dawn-Dusk Electric Field

doi: 10.3879/j.issn.1000-0887.2014.11.011

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

Funds: The National Natural Science Foundation of China(11271197)

Received Date: 2014-04-11
Rev Recd Date: 2014-09-22
Publish Date: 2014-11-18

Abstract

Abstract

In order to describe the dynamic characteristics of the electric particles sporting in neutral sheet magnetic field without dawn-dusk electric field, a nonlinear motion model was proposed. Based on the Mawhin’s continuation theorem, the existence of periodic solutions to a class of nonlinear problems was discussed, and wherery, the problem of periodic solution of electric particles sporting in neutral sheet magnetic field without dawn-dusk electric field was investigated. Under the given initial conditions, a result about the existence of periodic orbits of the model was obtained. Furthermore, based on our result, other dynamic behaviours of the model, such as the homoclinic orbits can are to discussed.
- electric particle,
- neutral sheet magnetic field,
- nonlinear,
- periodic orbit

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References(17)

References

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