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| WEPSB026 |
Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps |
multipole, controls, dynamic-aperture, resonance |
419 |
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- A.N. Fedorova, M.G. Zeitlin
RAS/IPME, St. Petersburg, Russia
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We start with a qualitative approach based on the detailed analysis of smoothness classes of the underlying functional spaces provided possible evaluation of the dynamical aperture in general nonlinear/polynomial models of particle/beam motion in accelerators. We present the applications of discrete multiresolution analysis technique to the maps which arise as the invariant discretization of continuous nonlinear polynomial problems. It provides a generalization of the machinery of local nonlinear harmonic analysis, which can be applied for both discrete and continuous cases and allows to construct the explicit multiresolution decomposition for solutions of discrete problems which are the correct discretizations of the corresponding continuous cases.
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