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physics.acc-ph2026
Construction of Approximate Invariants Across Nonlinear Resonances
Yongjun Li, Derong Xu, Yue Hao +1
Our previous work [Y.~Li, D.~Xu, and Y.~Hao, Phys. Rev. Accel. Beams \textbf{28}, 074001 (2025)] introduced a square-matrix method for constructing approximate invariants recursive…
physics.acc-ph2026
Reveal normal form structure for nonlinear map in accelerator beam physics with symplectic neural network
Leo He, Yue Hao
Long-term multi-turn tracking is required to study nonlinear phenomena in circular accelerators, such as resonances, chaotic motion, and the dynamic aperture. General-purpose neura…
physics.acc-ph2026
Approximate Invariant Analysis: An Efficient Framework for Nonlinear Beam Dynamics, Part I: Geometric Approaches of the Poincaré Rotation Number
Yongjun Li, Sergei Nagaitsev, Derong Xu +2
We present the first part of an efficient framework for nonlinear beam dynamics, termed Approximate Invariant Analysis (AIA). The framework is based on the construction of approxim…