Twist periodic solutions of the electron beam focusing system with unshielded cathode

In this article, we consider the electron beam focusing system guided by an axially symmetric periodic magnetic field with unshielded cathode. Based on the third‐order approximation method and some quantitative methods, we establish two different sufficient conditions for the existence of twist peri...

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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 47; no. 12; pp. 10507 - 10519
Main Authors:	Liang, Zaitao, Zhou, Ziqing, Li, Shengjun
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 01-08-2024
Subjects:	Cathodes electron beam focusing system Electron beams Focusing Lyapunov stability third‐order approximation method twist periodic solutions
Online Access:	Get full text
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Summary:	In this article, we consider the electron beam focusing system guided by an axially symmetric periodic magnetic field with unshielded cathode. Based on the third‐order approximation method and some quantitative methods, we establish two different sufficient conditions for the existence of twist periodic solutions of the system. Such twist periodic solutions are stable in the sense of Lyapunov. Some results in the literature are generalized and improved.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.10136