Approximate Entropy Analysis for Nonlinear Beam Dynamics
Yongjun Li
TL;DR
This paper demonstrates how approximate entropy (ApEn) can quantify chaos in nonlinear beam dynamics of circular accelerators, aiding in optimization and analysis of beam stability.
Contribution
It introduces ApEn as a novel quantitative tool for analyzing chaos in nonlinear beam dynamics within accelerators.
Findings
ApEn effectively characterizes increasing chaos with amplitude.
ApEn can be used for nonlinear lattice optimization.
The method provides a quantitative measure of beam motion chaos.
Abstract
In this paper, we apply approximate entropy (ApEn) analysis to the nonlinear beam dynamics in circular accelerators. Due to the presence of strong nonlinear magnets, chaos of beam motion gradually increases with amplitude. Such chaos can be quantitatively characterized with ApEn of beam turn-by-turn readings. Then ApEn, as a chaos indicator, can be used for nonlinear lattice optimization and analysis.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Control and Stability of Dynamical Systems