Speaker
Description
The square matrix-based convergence map (CM) method has been proven effective for analyzing nonlinear dynamics in several 4-D systems. However, time-dependent effects such as crabbing kicks require a full 6-D treatment to capture synchro-betatron coupling. In this work, we extend the CM method to 6-D phase space using an eigen-decomposition-based formulation with iterative refinement. The method is validated using a simplified crabbing map, showing that the 6-D CM retains the efficiency of a one-turn-map approach while resolving high-order resonances that conventional frequency map analysis (FMA) cannot. We then apply the 6-D CM to dynamic aperture studies for the Electron-Ion Collider (EIC), obtaining results consistent with FMA. These findings demonstrate the potential of the 6-D CM as an efficient and accurate tool for nonlinear beam-dynamics analysis and broader nonlinear systems.
Funding Agency
This work is supported by the DOE Office of Science, with award number DE-SC0024170.
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