Abstract
The mapping which shows equilibrium particle distribution in synchrotron phase space for electron storage rings is discussed with respect to some localized constant wake function based on the Gaussian approximation. This mapping shows multi-periodic states as well as double bifurcation in dynamical states of the equilibrium bunch length. When moving around parameter space, the system shows a transition/bifurcation which is not always reversible. These results derived by mapping are confirmed by multiparticle tracking. (author)
Citation Formats
Kim, Eun-San, and Hirata, Kohji.
Bunch lengthening with bifurcation in electron storage rings.
Japan: N. p.,
1996.
Web.
Kim, Eun-San, & Hirata, Kohji.
Bunch lengthening with bifurcation in electron storage rings.
Japan.
Kim, Eun-San, and Hirata, Kohji.
1996.
"Bunch lengthening with bifurcation in electron storage rings."
Japan.
@misc{etde_461181,
title = {Bunch lengthening with bifurcation in electron storage rings}
author = {Kim, Eun-San, and Hirata, Kohji}
abstractNote = {The mapping which shows equilibrium particle distribution in synchrotron phase space for electron storage rings is discussed with respect to some localized constant wake function based on the Gaussian approximation. This mapping shows multi-periodic states as well as double bifurcation in dynamical states of the equilibrium bunch length. When moving around parameter space, the system shows a transition/bifurcation which is not always reversible. These results derived by mapping are confirmed by multiparticle tracking. (author)}
place = {Japan}
year = {1996}
month = {Aug}
}
title = {Bunch lengthening with bifurcation in electron storage rings}
author = {Kim, Eun-San, and Hirata, Kohji}
abstractNote = {The mapping which shows equilibrium particle distribution in synchrotron phase space for electron storage rings is discussed with respect to some localized constant wake function based on the Gaussian approximation. This mapping shows multi-periodic states as well as double bifurcation in dynamical states of the equilibrium bunch length. When moving around parameter space, the system shows a transition/bifurcation which is not always reversible. These results derived by mapping are confirmed by multiparticle tracking. (author)}
place = {Japan}
year = {1996}
month = {Aug}
}