10–15 Aug 2025
SAFE Credit Union Convention Center
America/Los_Angeles timezone

Construction of approximate invariants for non-integrable Hamiltonian systems

TUP024
12 Aug 2025, 16:00
2h
SAFE Credit Union Convention Center

SAFE Credit Union Convention Center

1401 K St, Sacramento, CA 95814
Poster Presentation MC5 – Beam Dynamics and EM Fields TUP: Tuesday Poster Session

Speaker

Yongjun Li (Brookhaven National Laboratory)

Description

We present a method to construct high-order polynomial approximate invariants (AI) for non-integrable Hamiltonian dynamical systems, and apply it to a modern ring-based particle accelerator. Taking advantage of a special property of one-turn transformation maps in the form of a square matrix, AIs can be constructed order-by-order iteratively. Evaluating AI with simulation data, we observe that AI's fluctuation is actually a measure of chaos. Through minimizing the fluctuations, the stable region of long-term motions, i.e., the dynamic aperture of the accelerator, could be enlarged.

Funding Agency

Supported by the U.S. DoE under Contract No. DE-SC0012704, FWP 2025-BNL-PS040-Funding, and HEP award DE-SC0019403.

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Author

Yongjun Li (Brookhaven National Laboratory)

Co-authors

Derong Xu (Brookhaven National Laboratory) Yue Hao (Facility for Rare Isotope Beams)

Presentation materials

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