A METHOD FOR LOCATING SINGULARITIES IN THE COMPLEX TIME-DOMAIN FOR INTEGRABLE DYNAMICAL-SYSTEMS

Authors
POLYMILIS C ROWLANDS G YANNACOPOULOS AN
Citation
C. Polymilis et al., A METHOD FOR LOCATING SINGULARITIES IN THE COMPLEX TIME-DOMAIN FOR INTEGRABLE DYNAMICAL-SYSTEMS, Celestial mechanics & dynamical astronomy, 68(4), 1997, pp. 273-281
Citations number
8
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
68
Issue
4
Year of publication
1997
Pages
273 - 281
Database
ISI
SICI code
0923-2958(1997)68:4<273:AMFLSI>2.0.ZU;2-9
Abstract
A simple method for the determination of the position of singularities in the complex time domain for dynamical systems which are described by ordinary differential equations is presented. The method is designe d for integrable separable systems whose solutions are not expressible in closed form. A direct consequence of this method is that it 'close s' the phase space. Simple physical meaning is given to the singularit y position.