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Effective Algorithm of Analysis of Integrability via the Ziglin’s Method

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Abstract

In this paper, we continue the description of the possibilities to use numerical simulations for mathematically rigorous computer-assisted analysis of integrability of dynamical systems. We sketch some of the algebraic methods of studying the integrability and present a constructive algorithm issued from the Ziglin’s approach. We provide some examples of successful applications of the constructed algorithm to physical systems.

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Authors and Affiliations

  1. Laboratoire de Mathématiques de l’INSA de Rouen, Avenue de l’Université, 76801, Saint-Étienne-du-Rouvray Cedex, France

    Vladimir Salnikov

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  1. Vladimir Salnikov
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Correspondence to Vladimir Salnikov.

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Salnikov, V. Effective Algorithm of Analysis of Integrability via the Ziglin’s Method. J Dyn Control Syst 20, 465–474 (2014). https://doi.org/10.1007/s10883-014-9213-z

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  • DOI: https://doi.org/10.1007/s10883-014-9213-z

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