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Twist periodic solutions of the electron beam focusing system with unshielded cathode.
- Source :
-
Mathematical Methods in the Applied Sciences . Aug2024, Vol. 47 Issue 12, p10507-10519. 13p. - Publication Year :
- 2024
-
Abstract
- In this article, we consider the electron beam focusing system guided by an axially symmetric periodic magnetic field with unshielded cathode. Based on the thirdāorder 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178354940
- Full Text :
- https://doi.org/10.1002/mma.10136