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The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems

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Abstract

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.
Authors:
Dong, Di; [1]  Long, Yiming
  1. Nankai Univ., Tianjin (China). Inst. of Mathematics
Publication Date:
Oct 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/318
Reference Number:
SCA: 661100; PA: AIX-26:012164; EDB-95:031935; SN: 95001324641
Resource Relation:
Other Information: PBD: Oct 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIANS; ITERATIVE METHODS; EIGENVALUES; HILBERT SPACE; MATRICES; NONLINEAR PROBLEMS; PERTURBATION THEORY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10112395
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613379; TRN: XA9438472012164
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
81 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Dong, Di, and Long, Yiming. The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. IAEA: N. p., 1994. Web.
Dong, Di, & Long, Yiming. The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. IAEA.
Dong, Di, and Long, Yiming. 1994. "The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems." IAEA.
@misc{etde_10112395,
title = {The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems}
 author = {Dong, Di, and Long, Yiming}
 abstractNote = {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.}
 place = {IAEA}
 year = {1994}
 month = {Oct}
 }