Author

Yue Hao

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Preprint Oct 2026

Reveal normal form structure for nonlinear map in accelerator beam physics with symplectic neural network

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 neural networks do not preserve the symplectic structure of Hamiltonian dynamics, so their errors can grow over many turns. Symplectic neural net...

Leo He, Yue Hao · 0 citations

Preprint Oct 2026

Construction of Approximate Invariants Across Nonlinear Resonances

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 recursively, order by order, from the one-turn map of non-integrable Hamiltonian systems. At fourth and higher even orders, the recursive constructio...

Yong-Jun Li, De-Rong Xu, Yue Hao et al. · 0 citations