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| Pàgina inicial > Articles > Articles publicats > Polynomial and linearized normal forms for almost periodic differential systems |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Data: | 2016 |
| Resum: | 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. |
| Ajuts: | 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 |
| Nota: | 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). |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Almost periodic differential systems ; Averaging theory ; Linearization ; Normal form |
| Publicat a: | Discrete and continuous dynamical systems. Series A, Vol. 36 Núm. 1 (2016) , p. 345-360, ISSN 1553-5231 |
16 p, 818.1 KB |
