JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - UNPB AU - Andrianov, S.N. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Some Features of Constructing Symplectic Maps for Cyclic Accelerators J2 - presented at RuPAC2021, Alushta, Crimea, 27 September-01 October 2021 CY - Alushta, Crimea T2 - Russian Particle Accelerator Conference T3 - 27 LA - english AB - In this paper, theoretical and applied problems of the evolution of a particle beam in cyclic accelerators are considered. Particular attention is paid to two important problems: methods of mathematical and computer modeling of the dynamics of particle beams while maintaining the necessary correctness of the evolution of the particle beam. The methods used in the work are based on the methods of computer algebra using the technology of LEGO objects. The use of these particular tools allows not only to reduce the necessary computational operations, but also to save the generated solutions in symbolical forms in order to use them in the process of both optimizing the modeling of the objects under consideration (control elements, particle beams, etc.), and also for the search for optimal configurations of controllers and corrective elements. The proposed methods have the necessary versatility in practical use and can be used to solve various problems of a similar type. ER -