Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Dynamics of Accelerator via Wavelet Approach   In this paper we present the applications of methods from wavelet analysis to
polynomial approximations for a number of accelerator physics problems. In the
general case we have the solution as a multiresolution expansion in the base of
compactly supported wavelet basis. The solution is parametrized by the
solutions of two reduced algebraical problems, one is nonlinear and the second
is some linear problem, which is obtained from one of the next wavelet
constructions: Fast Wavelet Transform, Stationary Subdivision Schemes, the
method of Connection Coefficients. According to the orbit method and by using
construction from the geometric quantization theory we construct the symplectic
and Poisson structures associated with generalized wavelets by using
metaplectic structure. We consider wavelet approach to the calculations of
Melnikov functions in the theory of homoclinic chaos in perturbed Hamiltonian
systems and for parametrization of Arnold-Weinstein curves in Floer variational
approach.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc