%ADong, Di [Nankai Univ., Tianjin (China). Inst. of Mathematics]
%ALong, Yiming
%D1994
%I; International Centre for Theoretical Physics (ICTP), Trieste (Italy)
%J
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, HAMILTONIANS, ITERATIVE METHODS, EIGENVALUES, HILBERT SPACE, MATRICES, NONLINEAR PROBLEMS, PERTURBATION THEORY, 661100, CLASSICAL AND QUANTUM MECHANICS
%PMedium: X; Size: 81 p.
%TThe iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
%XIn this paper, the iteration formula of the Maslov-type index theory for linear Hamiltonian systems with continuous periodic and symmetric coefficients is established. This formula yields a new method to determine the minimality of the period for solutions of nonlinear autonomous Hamiltonian systems via their Maslov-type indices. Applications of this formula give new results on the existence of periodic solutions with prescribed minimal period for such systems. (author). 40 refs.
%0Technical Report
IAEA Other: ON: DE95613379; TRN: XA9438472012164 INIS English