A Method for locating Singularities in the Complex Time Domain for Integrable Dynamical Systems

Details A Method for locating Singularities in the Complex Time Domain for Integrable Dynamical Systems A Method for locating Singularities in the Complex Time Domain for Integrable Dynamical Systems

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..273p&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 4, pp.273-281

Astronomy and Astrophysics

Astronomy

Integrable Systems, Singularities, Complex Time

Scientific paper

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 designed for integrable separable systems whose solutions are not expressible in closed form. A direct consequence of this method is that it ‘closes’ the phase space. Simple physical meaning is given to the singularity position.

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