DocumentCode
377426
Title
The chaotic behavior of the bunched beam
Author
Parsa, Z. ; Zadorozhny, V.
Author_Institution
Phys. Dept, Brookhaven Nat. Lab., Upton, NY, USA
Volume
3
fYear
2001
fDate
2001
Firstpage
1673
Abstract
Using the self selfconsistent Vlasov equation we discuss a wave dynamical system to describe the chaotic behavior of the bunched beam, present some results of the existence of the global solutions as the generalized functions. Disappearance of the first integral, and appearance of the wave packet chaos due to birth of the continuous spectrum in Vlasov system is studied. We propose a new concept of wave packet chaos to describe the chaotic behavior of the wave dynamical system
Keywords
Vlasov equation; chaos; particle beam bunching; particle beam stability; bunched beam; chaotic behavior; continuous spectrum; generalized functions; global solutions; self selfconsistent Vlasov equation; wave dynamical system; wave packet chaos; Chaos; Cybernetics; Distribution functions; Eigenvalues and eigenfunctions; Hilbert space; Integral equations; Laboratories; Particle beams; Physics; Stochastic systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location
Chicago, IL
Print_ISBN
0-7803-7191-7
Type
conf
DOI
10.1109/PAC.2001.987144
Filename
987144
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