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

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


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/23198

Title :	Effective Algorithm of Analysis of Integrability via the Ziglin’s Method
Language :	English
Author, co-author :	Salnikov, Vladimir [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2014
Journal title :	Journal of Dynamical and Control Systems
Publisher :	Springer Science & Business Media B.V.
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	1079-2724
Keywords :	[en] Integrability ; Numerical approach ; Complexified systems ; Monodromy group ; Zaiglin's method
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/23198

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