Asymmetric Hopf bifurcation for proton beams with electron cooling

Conference · Sun Dec 31 00:00:00 EST 1995

OSTI ID:288426

Kang, X; Ball, M; Brabson, B; Budnick, J; East, G; Ellison, M; Hamilton, B; Lee, S Y; Li, D; Liu, J Y; Pei, A; Riabko, A; Wang, L; Wang, Y ^[1]; Caussyn, D D ^[2]; Colestock, P; Ng, K Y ^[3]; Hedblom, K ^[4]; Syphers, M ^[5]

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1. Indiana Univ. Cyclotron Facility, Bloomington, IN (United States)
2. Michigan Univ., Ann Arbor, MI (United States). Dept. of Physics
3. Fermi National Accelerator Lab., Batavia, IL (United States)
4. Uppsala Univ. (Sweden) Svedberg Lab.
5. Brookhaven National Lab., Upton, NY (United States)

We observed maintained longitudinal limiting cycle oscillations, which grew rapidly once a critical threshold in the relative velocity between the proton beam and the cooling electrons was exceeded. The threshold for the bifurcation of a fixed point into a limit cycle, also known as a Hopf bifurcation, was found to be asymmetric with respect to the relative velocity. This asymmetry of Hopf bifurcation was found to be related to the electron beam alignment with respect to the stored proton beam.

• Research Organization: Brookhaven National Lab. (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016; FG02-93ER40801
• OSTI ID: 288426
• Report Number(s): BNL-63224; CONF-950512-404; ON: DE96013473; CNN: Grant PHY-9221402
• Resource Relation: Conference: 16. Institute of Electrical and Electronic Engineers (IEEE) particle accelerator conference, Dallas, TX (United States), 1-5 May 1995; Other Information: PBD: [1995]
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PROTON BEAMS
BEAM DYNAMICS
ELECTRON BEAMS
BIFURCATION
STORAGE RINGS
SYNCHROTRONS
ALIGNMENT