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

@article{Salnikov2014EffectiveAO,
  title={Effective Algorithm of Analysis of Integrability via the Ziglin’s Method},
  author={Vladimir Salnikov},
  journal={Journal of Dynamical and Control Systems},
  year={2014},
  volume={20},
  pages={465-474}
}
  • Vladimir Salnikov
  • Published 2014
  • Mathematics
  • 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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