MS30 ~ Monday, May 22, 1995 ~ 7:30 PM

Nonlinear Dynamics in Particle Accelerators

Particle Accelerators are a practically important example for nonlinear Hamiltonian dynamics in four or six variables. In general, the motion is weakly nonlinear, making it amenable to a variety of perturbative techniques besides the traditional symplectic integration techniques.

The symposium gives an account of typical nonlinear effects that can be encountered in the dynamics in accelerators. A variety of perturbative methods are discussed, including the determination of pseudo-invariants by normal form and other approaches. The analysis of the motion allows estimates of the long time stability of the system; using methods of verified global optimization, in many situations even mathematically rigorous bounds for stability times can be obtained.

Organizer: Martin Berz, Michigan State University

Rigorous Bounds on Stability Times in Weakly Nonlinear Systems
Martin Berz, Organizer
Experimental Observation of Nonlinear Dynamics in Accelerators
S.Y. Lee, Indiana University, Bloomington
Long-term Stability of Orbits in the Large Hadron Collider
Robert L. Warnock and J. Scott Berg, Stanford Linear Accelerator Center; and Etienne Forest, Lawrence Berkeley Laboratory
Lie Algebraic Analysis of Hamiltonian Nonlinear Dynamics
Alex Dragt, University of Maryland, College Park