Convergence map with action-angle variables based on square matrix for nonlinear lattice optimization

To analyze nonlinear dynamic systems, we developed a new technique based on the square matrix method. We propose this technique called the “convergence map” for generating particle stability diagrams similar to the frequency maps widely used in accelerator physics to estimate dynamic aperture. The c...

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Bibliographic Details

Published in:	Physical review. Accelerators and beams Vol. 26; no. 5; p. 054002
Main Authors:	Yu, Li Hua, Hidaka, Yoshiteru, Smaluk, Victor, Anderson, Kelly, Hao, Yue
Format:	Journal Article
Language:	English
Published:	College Park American Physical Society 01.05.2023
Subjects:	Apertures Computing time Convergence Dynamical systems Fourier transforms Iterative methods Matrix methods Nonlinear dynamics Nonlinear equations Nonlinear systems Optimization Particle accelerators Particle tracking Perturbation methods
ISSN:	2469-9888, 2469-9888
Online Access:	Get full text
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