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- W2187131994 abstract "Maps are powerful tools in the study of dynamical systems that are intrinsically discrete in time. Difference systems described by maps exhibit much richer dynamical behavior than differential systems, because of the emphasis they intrinsically place on occasional “high-frequency” transient kicks. For example, the standard map – with pulsed gravity – displays chaos, while the analogous gravity pendulum does not. Maps also speed up simulations enormously, by summarizing complex dynamics in short form. Accelerator physics offers a variety of such systems, like RF systems (represented by the standard map) and motion in the presence of sextupoles (Henon map). This paper summarizes the state of the art of cubic maps used to simulate electron clouds, and coupled maps used to simulate interacting electron and ion clouds. Coupled maps are capable of demonstrating the first order phase transitions (from cloud “off” to “on” or vice versa) that are sometimes seen in practice, and enable the practical extension of electron cloud simulations to include relatively slowly evolving ion clouds." @default.
- W2187131994 created "2016-06-24" @default.
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- W2187131994 date "2006-01-01" @default.
- W2187131994 modified "2023-09-27" @default.
- W2187131994 title "SIMPLE MAPS IN ACCELERATOR SIMULATIONS" @default.
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