Title :
Methods and complex of programs for radiating particle 3DOF nonlinear dynamics analysis
Author_Institution :
JINR, Dubna, Russia
Abstract :
The Lie-transform perturbation theory for non-autonomous non-Hamiltonian systems and its implementation in a complex of Mathematica programs are described. On the example of LEP 108/90 lattice the radiation effects are shown to play an important effect on particle stability at high energies
Keywords :
colliding beam accelerators; electron accelerators; high energy physics instrumentation computing; nonlinear dynamical systems; particle beam dynamics; particle beam stability; perturbation theory; storage rings; LEP 108/90 lattice; Lie-transform perturbation theory; Mathematica programs; electron storage ring; high energies; nonautonomous nonHamiltonian systems; particle stability; radiating particle 3DOF nonlinear dynamics; radiation effects; Colliding beam devices; Damping; Lattices; Magnetic resonance; Nonlinear equations; Particle beams; Radiation effects; Stability analysis; Synchrotron radiation; Vectors;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.794156
