3 citations · 6 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
Frequency Extraction from Invariant Flows
Derong Xu, Yongjun Li, Yue Hao +1
In non-degenerate integrable Hamiltonian systems, invariant tori can be parameterized equivalently by action variables or by their fundamental frequencies. We introduce an invarian…
Dynamic Focusing to Suppress Emittance Transfer in Crab-Crossing Flat Beam Collisions
Derong Xu, J Scott Berg, Michael M Blaskiewicz +8
Flat hadron beam collisions, though expected to enhance peak luminosity by about an order of magnitude, have not yet been demonstrated. Our study reveals a critical limitation: rea…
Online regularization of Poincaré map of storage rings with Shannon entropy
Yongjun Li, Kelly Anderson, Derong Xu +7
Shannon entropy, as a chaos indicator, is used for online Poincaré map regularization and dynamic aperture optimization in the National Synchrotron Light Source-II (NSLS-II) ring.…
Enhanced beam-beam modeling to include longitudinal variation during weak-strong simulation
Derong Xu, Vasiliy S. Morozov, David Sagan +2
Beam-beam interactions pose substantial challenges in the design and operation of circular colliders, significantly affecting their performance. In particular, the weak-strong simu…
Convergence map with action-angle variables based on square matrix for nonlinear lattice optimization
Li Hua Yu, Yoshiteru Hidaka, Victor Smaluk
To analyze nonlinear dynamic systems, we developed a new technique based on the square matrix method. We propose this technique called the \convergence map" for generating particle…