Periodicity of the Model for Electron Beam Focusing Systems

CHEN  Lijuan; LU Shiping

doi:10.21656/1000-0887.390092

Volume 40 Issue 2

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CHEN Lijuan, LU Shiping. Periodicity of the Model for Electron Beam Focusing Systems[J]. Applied Mathematics and Mechanics, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092

Citation:

CHEN Lijuan, LU Shiping. Periodicity of the Model for Electron Beam Focusing Systems[J]. Applied Mathematics and Mechanics, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092

Citation:

CHEN Lijuan, LU Shiping. Periodicity of the Model for Electron Beam Focusing Systems[J]. Applied Mathematics and Mechanics, 2019, 40(2): 181-188. doi: 10.21656/1000-0887.390092

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Periodicity of the Model for Electron Beam Focusing Systems

doi: 10.21656/1000-0887.390092

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: 2018-03-26
Rev Recd Date: 2018-05-17
Publish Date: 2019-02-01

Abstract

Abstract

The electron beam focusing system theories are widely applied in the fields of physics, biology, electronics and so on. To control the movement track of the electron beam to be focused on the object effectively, the existence of periodic solutions was discussed based on the electron beam focusing system model with Mawhin’s coincidence degree theory. The existence of positive periodic solutions to the model was obtained under specific conditions, and the feasibility of the ranges of the parameters in the model was analyzed. The study provides a theoretical basis for the design of traveling-wave tubes.
- electron beam focusing system,
- singularity,
- positive periodic solution,
- coincidence degree theory

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References(16)

References

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