Open AccessGlobal linearization of periodic difference equations
Author(s) -
Anna Cima,
Armengol Gasull,
Francesc Mañosas
Publication year - 2012
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2012.32.1575
Subject(s) - linearization , mathematics , order (exchange) , mathematical analysis , nonlinear system , physics , economics , finance , quantum mechanics
We deal with m-periodic, n-th order difference equations and study whether they can be globally linearized. We give an affirmative answer when m = n + 1 and for most of the known examples appearing in the literature. Our main tool is a refinement of the Montgomery-Bochner Theorem
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