Online regularization of Poincaré map of storage rings with Shannon entropy

A measurable chaos indicator is used as the online optimization objective in tuning a complicated nonlinear system—the National Synchrotron Light Source-II storage ring. Through analyzing the Shannon entropy in measured Poincaré maps, not only can the commonly used nonlinear characterizations be extracted, but more importantly, the chaos can be quantified and then used for an online regularization of these maps. The method itself is general and applicable to other tunable nonlinear systems as well.

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Publication Details

Journal
Physical Review Accelerators and Beams
Published
2025-03-31
DOI
https://doi.org/10.1103/physrevaccelbeams.28.034001
Citations
2
Primary Topic
Mechanical and Optical Resonators
Type
article
Field-Weighted Citation Impact
2.49

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article

Online regularization of Poincaré map of storage rings with Shannon entropy

Victor Smaluk, Robert Rainer, Derong Xu, Yongjun Li et al.
2 citations
Physical Review Accelerators and Beams
Mechanical and Optical Resonators
2.49
article

Online regularization of Poincaré map of storage rings with Shannon entropy

Victor Smaluk, Robert Rainer, Derong Xu, Yongjun Li, Timur Shaftan, K.W. Anderson, Y. Hidaka, Minghao Song, Yue Hao, Kiman Ha
article en
2 citations

Abstract

A measurable chaos indicator is used as the online optimization objective in tuning a complicated nonlinear system—the National Synchrotron Light Source-II storage ring. Through analyzing the Shannon entropy in measured Poincaré maps, not only can the commonly used nonlinear characterizations be extracted, but more importantly, the chaos can be quantified and then used for an online regularization of these maps. The method itself is general and applicable to other tunable nonlinear systems as well.

Physical Review Accelerators and BeamsVol. 28(3)
Brookhaven National Laboratory (US), Michigan State University (US)
U.S. Department of Energy, Brookhaven National Laboratory
Openalex Percentile: Top 13%
Mechanical and Optical Resonators
2.49
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Online regularization of Poincaré map of storage rings with Shannon entropy — Victor Smaluk, Robert Rainer, et al. · Physical Review Accelerators and Beams (2025) | TGRS Research Map | TGRS