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Warnock, R.L.; Ruth, R.D.
Stanford Linear Accelerator Center, Menlo Park, CA (USA)1990
Stanford Linear Accelerator Center, Menlo Park, CA (USA)1990
AbstractAbstract
[en] We describe a numerical method to establish long-term bounds on nonlinear Hamiltonian motion. By bounding the change in a nearly constant action variable, uniformly in initial condition, one can predict stability for N turns by tracking many orbits for a member of turns of N0 much less than N. In a first application to a model sextupole lattice in a region of strong nonlinearity, we predict stability of betatron motion in two degrees of freedom for 108 turns. 5 refs., 3 figs
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Jun 1990; 3 p; 2. European particle accelerator conference; Nice (France); 11-16 Jun 1990; CONF-900603--13; CONTRACT AC03-76SF00515; NTIS, PC A02/MF A01 as DE90013580; OSTI; INIS; US Govt. Printing Office Dep
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