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Title: Approximate entropy analysis for nonlinear beam dynamics

Journal Article · · Physical Review Accelerators and Beams

In this paper, we applied an approximate entropy (ApEn) analysis to nonlinear beam dynamics. Due to the presence of strong nonlinear magnets, the degree of chaos in beam motion gradually increases proportionally with its amplitude. Such chaos can be quantitatively characterized with ApEn of beam turn-by-turn readings. ApEn analysis is a technique used to quantify the amount of regularity and the unpredictability of fluctuations with respect to time-series data. The ApEn, when applied as a chaos indicator, can then be used for nonlinear lattice optimization and analysis. The National Synchrotron Light Source II (NSLS-II) electron storage ring lattice was used as an example of a real-world application of our technique. Published by the American Physical Society 2024

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0012704
OSTI ID:
2281043
Report Number(s):
BNL--225182-2024-TECH; 011601
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Journal Issue: 1 Vol. 27; ISSN 2469-9888; ISSN PRABCJ
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (26)

Measuring the strangeness of strange attractors journal October 1983
Determining Lyapunov exponents from a time series journal July 1985
Construction of higher order symplectic integrators journal November 1990
Fast computation of approximate entropy journal July 2008
Fast dynamic aperture optimization with forward-reversal integration
  • Li, Yongjun; Hao, Yue; Hwang, Kilean
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 988 https://doi.org/10.1016/j.nima.2020.164936
journal February 2021
Data-driven chaos indicator for nonlinear dynamics and applications on storage ring lattice design
  • Li, Yongjun; Wan, Jinyu; Liu, Allen
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 1024 https://doi.org/10.1016/j.nima.2021.166060
journal February 2022
Approximate entropy (ApEn) as a complexity measure journal March 1995
Irregularity, volatility, risk, and financial market time series journal September 2004
Approximate entropy as a measure of system complexity. journal March 1991
Numerical study of quadratic area-preserving mappings journal January 1969
The reversibility error method (REM): a new, dynamical fast indicator for planetary dynamics journal February 2017
Genetic algorithm enhanced by machine learning in dynamic aperture optimization journal May 2018
Robust simplex algorithm for online optimization journal October 2018
Design of double-bend and multibend achromat lattices with large dynamic aperture and approximate invariants journal December 2021
Performance analysis of indicators of chaos for nonlinear dynamical systems journal June 2023
Lifetime and Beam Size in a Storage Ring journal May 1963
Symplectic Calculation of Lyapunov Exponents journal January 1995
Global Dynamics of the Advanced Light Source Revealed through Experimental Frequency Map Analysis journal July 2000
Multiobjective optimization of dynamic aperture journal May 2011
Ergodic theory of chaos and strange attractors journal July 1985
A fast and elitist multiobjective genetic algorithm: NSGA-II journal April 2002
Handbook of Accelerator Physics and Engineering book October 2022
Physiological time-series analysis using approximate entropy and sample entropy journal June 2000
EntropyHub: An open-source toolkit for entropic time series analysis journal November 2021
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II journal December 2020
Kolmogorov-Sinai entropy journal January 2009