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 ![]() | |
2014 | |
Journal of Dynamical and 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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