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Automatic determination of dynamical symmetries of ordinary differential equations

Automatische Bestimmung dynamischer Symmetrien gewöhnlicher Differentialgleichungen

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Abstract

We describe the application of a computer program CRACKSTAR for the exact analytic solution of overdetermined systems of differential equations which result in determining point-, contact- and dynamical symmetries of ordinary differential equations. Examples are discussed.

Zusammenfassung

Wir beschreiben die Anwendung des Computerprogramms CRACKSTAR zur exakten Lösung überbestimmter Differentialgleichungssysteme, die von der Bestimmung von Punkt- und Berührungssymmetrien sowie dynamischer Symmetrien gewöhnlicher Differentialgleichungen herrühren.

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Authors and Affiliations

  1. Sektion Physik, Karl-Marx-Universität Leipzig, Karl-Marx-Platz 1, 7010, Leipzig, German Democratic Republic

    H. J. Pohle

  2. Rechenzentrum der Friedrich-Schiller-Universität Jena, Humboldtstrasse 2, 6900, Jena, German Democratic Republic

    T. Wolf

Authors
  1. H. J. Pohle
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  2. T. Wolf
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Pohle, H.J., Wolf, T. Automatic determination of dynamical symmetries of ordinary differential equations. Computing 41, 297–306 (1989). https://doi.org/10.1007/BF02241219

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  • DOI: https://doi.org/10.1007/BF02241219

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