JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
@inproceedings{titze:ipac2022-mopost040,
author = {M. Titze},
title = {{On a Framework to Analyze Single-Particle Non-Linear Beam Dynamics: Normal Form on a Critical Point}},
booktitle = {Proc. IPAC'22},
% booktitle = {Proc. 13th International Particle Accelerator Conference (IPAC'22)},
pages = {160--163},
eid = {MOPOST040},
language = {english},
keywords = {lattice, operation, framework, status, resonance},
venue = {Bangkok, Thailand},
series = {International Particle Accelerator Conference},
number = {13},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {07},
year = {2022},
issn = {2673-5490},
isbn = {978-3-95450-227-1},
doi = {10.18429/JACoW-IPAC2022-MOPOST040},
url = {https://jacow.org/ipac2022/papers/mopost040.pdf},
abstract = {{Normal form analysis around a stable fixed point is a well-established tool in accelerator physics and has proven to be invaluable for an understanding of non-linear beam dynamics. In this work we present progress in developing a modular Python framework to analyze some of the non-linear aspects of a storage ring, by directly operating with the given Hamiltonians. Hereby we have implemented Birkhoff’s normal form and Magnus expansion. This leads to a flexible framework to perform calculations to high order and, moreover, to relax the constraint of stability to also include certain unstable fixed points in the analysis.}},
}