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@inproceedings{yu:ipac2021-mopab041,
author = {L.H. Yu and Y. Hao and Y. Hidaka and F. Plassard and V.V. Smaluk},
title = {{Convergence Map with Action-Angle Variables Based on Square Matrix for Nonlinear Lattice Optimization}},
booktitle = {Proc. IPAC'21},
pages = {182--185},
eid = {MOPAB041},
language = {english},
keywords = {lattice, linear-dynamics, resonance, betatron, GUI},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-MOPAB041},
url = {https://jacow.org/ipac2021/papers/mopab041.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-MOPAB041},
abstract = {{We apply square matrix method to obtain in high speed a "convergence map", which is similar but different from frequency map. The convergence map is obtained from solving nonlinear dynamical equation by iteration of perturbation method and study the convergence. The map provides information about the stability border of dynamical aperture. We compare the map with frequency map from tracking. The result indicates the new method may be applied in nonlinear lattice optimization, taking the advantage of the high speed (about 10~50 times faster) to explore x, y and the off-momentum phase space.}},
}