Approximate Entropy Analysis for Nonlinear Beam Dynamics
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2306.17297
- arXiv:
- arXiv:2306.17297
- Bibcode:
- 2023arXiv230617297L
- Keywords:
-
- Physics - Accelerator Physics
- E-Print:
- 7 pages, 9 figures