TY - RPRT
TI - The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
AB - In 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.
AU - Dong, Di [Nankai Univ., Tianjin (China). Inst. of Mathematics]
AU - Long, Yiming
KW - 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
KW - HAMILTONIANS
KW - ITERATIVE METHODS
KW - EIGENVALUES
KW - HILBERT SPACE
KW - MATRICES
KW - NONLINEAR PROBLEMS
KW - PERTURBATION THEORY
KW - 661100
KW - CLASSICAL AND QUANTUM MECHANICS
DO -
UR -
PB -
CY - IAEA
PY - 1994
DA - 1994-10-01
LA - English
J2 -
C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy)
C2 -
ER -