3 papers
physics.acc-ph2026
The Hamilton-Jacobi Equation and its Application to Nonlinear Beam Dynamics: Comparison of Approaches
Stephan I. Tzenov
The rarely used Hamilton-Jacobi equation has been utilized as an elegant way to find the trajectories of mechanical systems and to derive symplectic maps. Further, the exact soluti…
physics.acc-ph2025
Frobenius-Perron Operator Approach to the Beam-Beam Interaction in Circular Colliders
Stephan I. Tzenov
Unlike most publications devoted to the application of the self-consistent method of the nonlinear Vlasov-Poisson system to the study of beam-beam interaction, in this article an a…
physics.plasm-ph2024
Nonlinear Cnoidal Waves and Formation of Patterns and Coherent Structures in Intense Charged Particle Beams
Stephan I. Tzenov, Anton A. Volodin
The longitudinal dynamics of an intense high energy beam moving in a resonator cavity has been studied in some detail. Through the method of separation of variables and its obvious…