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

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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 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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Authors and Affiliations

  1. Section of Astrophysics, Astronomy and Mechanics, Department of Physics, University of Athens, Panepistimiopolis, 15783, Zografos, Athens, Greece

    C. Polymilis

  2. Department of Physics, UK

    G. Rowlands & A. N. Yannacopoulos

  3. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    A. N. Yannacopoulos

Authors
  1. C. Polymilis
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  2. G. Rowlands
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  3. A. N. Yannacopoulos
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Polymilis, C., Rowlands, G. & Yannacopoulos, A.N. A Method for locating Singularities in the Complex Time Domain for Integrable Dynamical Systems. Celestial Mechanics and Dynamical Astronomy 68, 273–281 (1997). https://doi.org/10.1023/A:1008211220668

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  • DOI: https://doi.org/10.1023/A:1008211220668

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