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RIS citation export for WEPSB026: Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps

TY - CONF
AU - Fedorova, A.N.
AU - Zeitlin, M.G.
ED - Kuzin, Maxim
ED - Schaa, Volker RW
TI - Dynamical Aperture Beyond Perturbations: From Qualitative Analysis to Maps
J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016
C1 - St. Petersburg, Russia
T2 - Russian Particle Accelerator Conference
T3 - 25
LA - english
AB - 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.
PB - JACoW
CP - Geneva, Switzerland
SP - 419
EP - 421
KW - background
KW - multipole
KW - controls
KW - dynamic-aperture
KW - resonance
DA - 2017/02
PY - 2017
SN - 978-3-95450-181-6
DO - 10.18429/JACoW-RuPAC2016-WEPSB026
UR - http://jacow.org/rupac2016/papers/wepsb026.pdf
ER -