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Please use this identifier to cite or link to this item: http://uvadoc.uva.es/handle/10324/28910
Title: Computing normal forms and formal invariants of dynamical systems by means of word series
Authors: Murua, Ander
Sanz Serna, Jesús María
Issue Date: 2016
Citation: Nonlinear Analysis, Volume 138, June 2016, Pages 326-345
Abstract: We show how to use extended word series in the reduction of continuous and discrete dynamical systems to normal form and in the computation of formal invariants of motion in Hamiltonian systems. The manipulations required involve complex numbers rather than vector fields or diffeomorphisms. More precisely we construct a group G¯ and a Lie algebra g¯ in such a way that the elements of G¯ and g¯ are families of complex numbers; the operations to be performed involve the multiplication ★ in G¯ and the bracket of g¯ and result in universal coefficients that are then applied to write the normal form or the invariants of motion of the specific problem under consideration.
ISSN: 0362-546X
Peer Review: SI
DOI: https://doi.org/10.1016/j.na.2015.10.013
Sponsor: Ministerio de Economía, Industria y Competitividad, projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P
Publisher Version: https://www.journals.elsevier.com/nonlinear-analysis
Language: eng
URI: http://uvadoc.uva.es/handle/10324/28910
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:DEP51 - Artículos de revista

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