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Exact smooth classification of Hamiltonian vector fields on symplectic 2-manifolds

Technical Report:

Abstract

Complete exact classification of Hamiltonian systems with one degree of freedom and Morse Hamiltonian is carried out. As it is a main part of trajectory classification of integrable Hamiltonian systems with two degrees of freedom, the corresponding generalization is considered. The dual problem of classification of symplectic form together with Morse foliation is carried out as well. (author). 10 refs, 16 figs.
Authors:
Publication Date:
Oct 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/314
Reference Number:
SCA: 661100; 662100; PA: AIX-26:012163; EDB-95:031974; SN: 95001324640
Resource Relation:
Other Information: PBD: Oct 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; VECTOR FIELDS; HAMILTONIANS; SMOOTH MANIFOLDS; DEGREES OF FREEDOM; MAPPING FIBRATION; MORSE POTENTIAL; TOPOLOGICAL FOLIATION; TOPOLOGICAL MAPPING; TRAJECTORIES; VERTEX FUNCTIONS; 661100; 662100; CLASSICAL AND QUANTUM MECHANICS; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10112391
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613378; TRN: XA9438457012163
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
20 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Krouglikov, B S. Exact smooth classification of Hamiltonian vector fields on symplectic 2-manifolds. IAEA: N. p., 1994. Web.
Krouglikov, B S. Exact smooth classification of Hamiltonian vector fields on symplectic 2-manifolds. IAEA.
Krouglikov, B S. 1994. "Exact smooth classification of Hamiltonian vector fields on symplectic 2-manifolds." IAEA.
@misc{etde_10112391,
title = {Exact smooth classification of Hamiltonian vector fields on symplectic 2-manifolds}
author = {Krouglikov, B S}
abstractNote = {Complete exact classification of Hamiltonian systems with one degree of freedom and Morse Hamiltonian is carried out. As it is a main part of trajectory classification of integrable Hamiltonian systems with two degrees of freedom, the corresponding generalization is considered. The dual problem of classification of symplectic form together with Morse foliation is carried out as well. (author). 10 refs, 16 figs.}
place = {IAEA}
year = {1994}
month = {Oct}
}