COSY Infinity and its Applications to Nonlinear Dynamics
AbstractThe Fortran-based environment COSY INFINTIY, as well as the related
codes DAFOR and DAPRE, is presented. The codes contain modules for the
computation of derivatives to very high orders in many variables, with
a particular emphasis on sparsity. The main use of the code lies in
the field of nonlinear dynamics, where it is used for the computation
of perturbation expansions of Poincare maps to high orders as well as
their analysis based on normal forms and other methods. Using Remainder
Differential Algebraic Methods, quantitativ and mathematically rigorous
statemen about long term stability can be made for general systems. The
code is currently used by more than 150 registered users, mostly in the
field of beamphysics for the study and design of particle accelerators.
M. Berz, K. Makino, K. Shamseddine, G. Hoffstätter, W. Wan, in:
"Computational Differentiation: Techniques, Applications, and Tools",
M. Berz, C. Bischof, G. Corliss, A. Griewank (Eds.) (1996) 363-367, SIAM
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