We consider a particle motion in magnet with 2 n poles. The equations of motion correspond to Hamiltonian system with arbitrary finite number of terms in multipole expansion. We consider variational approach for constructing explicit solutions for this problem. We have the solutions as a multiresolution expansion in the base of compactly supported wavelet or wavelet packet bases. In the general case we consider biorthogonal wavelet expansions. These solutions are parameterized by solutions of reduced algebraical problems.

FEDOROVA A.N.

ZEITLIN M.G.
Russian Academy of Sciences, Institute of Problems of Mechanical
Engineering, V.O., Bolshoj pr., 61,
199178, St. Petersburg, Russia

e-mail: zeitlin@math.ipme.ru, anton@math.ipme.ru