Reference : Effective Algorithm of Analysis of Integrability via the Ziglin’s Method
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23198
Effective Algorithm of Analysis of Integrability via the Ziglin’s Method
English
Salnikov, Vladimir mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2014
Journal of Dynamical & Control Systems
Springer Science & Business Media B.V.
Yes (verified by ORBilu)
International
1079-2724
[en] Integrability ; Numerical approach ; Complexified systems ; Monodromy group ; Zaiglin's method
[en] 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.
http://hdl.handle.net/10993/23198

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