47 Franchetti, Giuliano Asvesta, Foteini Bartosik, Hannes Prebibaj, Tirsi Cai, Yunhai Nagaitsev, Sergei Kim, Dong Eon Marx, Michaela Schaa, Volker R. W. FHF Analytical and Numerical Studies on Kicked Beams in the Context of Half-Integer Studies Proc. HB'23 HB2023 JACoW Publishing, Geneva, Switzerland Geneva, Switzerland 10.18429/JACOW-HB2023-WEA1I2 English 188-193 In the context of the half-integer studies an investigation of the dynamics of the kicked beam has revealed surprising properties. The coupling of space charge with chromatic- ity in addition to usual damping/non-damping dynamics, exhibits new properties typical of a linear coupling. This proceeding covers the status of these studies carried out with analytical and numerical approaches and the prelimi- nary results of experimental investigations in the CERN PS Booster. Published by JACoW Publishing under the terms of the Creative Commons Attribution 4.0 International license. ; Proc. HB'23 ; Accelerator Physics Beam Dynamics in Rings Contribution to a conference proceedings 2024 2023-10-09 - 2023-10-13 GSI-2025-00392 2023-10-09 - 2023-10-13 2024 https://repository.gsi.de/record/357432 https://doi.org/10.18429/JACOW-HB2023-WEA1I2