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Integrability of dynamical systems and the singular-point analysis

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Abstract

Various aspects of the integrability of dynamical systems are discussed with the help of the singular point analysis. In particular the connection with the Painlevé property is described. Several examples will serve as illustrations.

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Authors and Affiliations

  1. Department of Physics, Rand Afrikaans University, Auckland Park, PO Box 524, 2000, Johannesburg, Republic of South Africa

    W. -H. Steeb

  2. Universität Paderborn, Theoretische Physik, D-4790, Paderborn, West Germany

    M. Kloke & B. M. Spieker

  3. Kraftwerkunion Rechenzentrum, D-8520, Erlangen, West Germany

    A. Kunick

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  1. W. -H. Steeb
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  2. M. Kloke
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  3. B. M. Spieker
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  4. A. Kunick
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Steeb, W.H., Kloke, M., Spieker, B.M. et al. Integrability of dynamical systems and the singular-point analysis. Found Phys 15, 637–666 (1985). https://doi.org/10.1007/BF00738293

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  • DOI: https://doi.org/10.1007/BF00738293

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