Title :
The chaotic behavior of the bunched beam
Author :
Parsa, Z. ; Zadorozhny, V.
Author_Institution :
Phys. Dept, Brookhaven Nat. Lab., Upton, NY, USA
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;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.987144
