Polynomial and linearized normal forms for almost periodic differential systems
Li, Weigu (Peking University. School of Mathematical Sciences)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Wu, Hao (Peking University. School of Mathematical Sciences)

Date:	2016
Abstract:	For almost periodic differential systems ˙x = εf(x, t, ε) with x ∈ Cn, t ∈ R and ε > 0 small enough, we get a polynomial normal form in a neighborhood of a hyperbolic singular point of the system ˙x = ε limT→∞1T∫ T0f(x,t, 0) dt, if its eigenvalues are in the Poincaré domain. The normal form linearizes if the real part of the eigenvalues are non-resonant.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Note:	Agraïments: The first author is partially supported by NSFC key program of China (no. 11231001). The MINECO/FEDER grant UNAB13-4E-1604. And the third is supported by NSFC for Young Scientists of China (no. 11001047) and NSF of Jiangsu, China (no. BK20131285).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Almost periodic differential systems ; Averaging theory ; Linearization ; Normal form
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 36 Núm. 1 (2016) , p. 345-360, ISSN 1553-5231

DOI: 10.3934/dcds.2016.36.345

Postprint 16 p, 818.1 KB

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