A HAMILTONIAN-STRUCTURE FOR GENERALIZED AFFINE-SCALING VECTOR-FIELDS

Authors
FAYBUSOVICH L
Citation
L. Faybusovich, A HAMILTONIAN-STRUCTURE FOR GENERALIZED AFFINE-SCALING VECTOR-FIELDS, Journal of nonlinear science, 5(1), 1995, pp. 11-28
Citations number
14
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Mechanics
Journal title
Journal of nonlinear science → ACNP
ISSN journal
09388974
Volume
5
Issue
1
Year of publication
1995
Pages
11 - 28
Database
ISI
SICI code
0938-8974(1995)5:1<11:AHFGAV>2.0.ZU;2-I
Abstract
We discuss a Hamiltonian structure for dynamical systems arising in co nnection with semi-definite optimization problems. We prove that these dynamical systems are completely integrable and construct their phase portrait. An explicit construction of action-angle variables is given . A role of the canonical Kahler structure is discussed.