The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
Dong, Di [Nankai Univ., Tianjin (China). Inst. of Mathematics]; Long, Yiming
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIANS; ITERATIVE METHODS; EIGENVALUES; HILBERT SPACE; MATRICES; NONLINEAR PROBLEMS; PERTURBATION THEORY; 661100; CLASSICAL AND QUANTUM MECHANICS
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.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1994-10-01
English
Technical Report
Other Information: PBD: Oct 1994
Medium: X; Size: 81 p.
ON: DE95613379
IC-94/318
Other: ON: DE95613379; TRN: XA9438472012164
INIS; SCA: 661100; PA: AIX-26:012164; EDB-95:031935; SN: 95001324641
2008-02-12
10112395