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Long Term Stability in Storage Rings
Nonlinear normal form theory and interval
arithmetic were used to make rigorous and therefore extremely reliable
statements about the time for which particles can be stored in circular
accelerators. Applications to other weakly nonlinear dynamical systems
are possible.
Publications
- Methods of
bounding long term stability in storage rings by estimating pseudo
invariants of nonlinear motion,
G. H. Hoffstaetter, M. Berz, Particle Accelerators,
unpublished
- Rigorous lower
bounds on the survival time in particle accelerators,
G. H. Hoffstaetter, M. Berz, Particle Accelerators 54, 193-202 (1996)
- Rigorous bounds
on survival times in circular accelerators and efficient computation of
fringe-field transfer maps,
G. H. Hoffstaetter, Dissertation, Report DESY-94-242
(1994), (some figures missing)
- Computation and
application of Taylor polynomials with remainder bounds,
M. Berz and G. H. Hoffstaetter, Reliable Computing 4: 83-97 (1998)
- Exact estimates
of the long term stability of weakly nonlinear systems
applied to the design of large storage rings,
M. Berz and G. H. Hoffstaetter, Interval Computations, Number 2, 68-89
(1994)
- Rigorous
stability estimates,
G. H. Hoffstaetter, M. Berz, NSCL Annual Report, 186-189 (1993)
- Refinement of
the normal form method for long term stability estimates,
G. H. Hoffstaetter, M. Berz, NSCL Annual Report, 182-185 (1993)
- Survival times
of particles in storage rings,
G. H. Hoffstaetter and M. Berz, NSCL Annual Report,
221-225 (1992)
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