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Article Dans Une Revue Journal of Dynamical and Control Systems Année : 2014

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

Résumé

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.

Dates et versions

hal-02403736 , version 1 (13-12-2019)

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Vladimir Salnikov. Effective Algorithm of Analysis of Integrability via the Ziglin’s Method. Journal of Dynamical and Control Systems, 2014, 20 (4), pp.465-474. ⟨10.1007/s10883-014-9213-z⟩. ⟨hal-02403736⟩
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