Reference : Effective Algorithm of Analysis of Integrability via the Ziglin’s Method
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Effective Algorithm of Analysis of Integrability via the Ziglin’s Method
Salnikov, Vladimir mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Journal of Dynamical and Control Systems
Springer Science & Business Media B.V.
Yes (verified by ORBilu)
[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.

File(s) associated to this reference

Fulltext file(s):

Limited access
salnikov_jdcs_14_offprint.pdfAuthor postprint505.5 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.