Kocić, Saša; Dias, João Lopes Reducibility of quasi-periodically forced circle flows. (English) Zbl 1445.37020 Discrete Contin. Dyn. Syst. 40, No. 9, 5325-5345 (2020). MSC: 37C55 37E10 70K40 PDFBibTeX XMLCite \textit{S. Kocić} and \textit{J. L. Dias}, Discrete Contin. Dyn. Syst. 40, No. 9, 5325--5345 (2020; Zbl 1445.37020) Full Text: DOI
Lopes Dias, João; Gaivão, José Pedro Linearization of Gevrey flows on \(\mathbb{T}^d\) with a Brjuno type arithmetical condition. (English) Zbl 1441.37066 J. Differ. Equations 267, No. 12, 7167-7212 (2019). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 37J40 37C10 37C55 11J70 PDFBibTeX XMLCite \textit{J. Lopes Dias} and \textit{J. P. Gaivão}, J. Differ. Equations 267, No. 12, 7167--7212 (2019; Zbl 1441.37066) Full Text: DOI arXiv
Lopes Dias, João KAM theory as a limit of renormalization. (English) Zbl 1253.37059 Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-11455-7/hbk; 978-3-642-11456-4/ebook). Springer Proceedings in Mathematics 1, 253-270 (2011). MSC: 37J40 37E20 PDFBibTeX XMLCite \textit{J. Lopes Dias}, Springer Proc. Math. 1, 253--270 (2011; Zbl 1253.37059) Full Text: DOI
Dias, João Lopes Local conjugacy classes for analytic torus flows. (English) Zbl 1151.37026 J. Differ. Equations 245, No. 2, 468-489 (2008). Reviewer: Juan Campos (Granada) MSC: 37C55 37C15 37E10 37E45 PDFBibTeX XMLCite \textit{J. L. Dias}, J. Differ. Equations 245, No. 2, 468--489 (2008; Zbl 1151.37026) Full Text: DOI arXiv
Khanin, Kostya; Lopes Dias, João; Marklof, Jens Multidimensional continued fractions, dynamical renormalization and KAM theory. (English) Zbl 1114.37009 Commun. Math. Phys. 270, No. 1, 197-231 (2007). MSC: 37A45 11J70 22F30 37E20 37J40 PDFBibTeX XMLCite \textit{K. Khanin} et al., Commun. Math. Phys. 270, No. 1, 197--231 (2007; Zbl 1114.37009) Full Text: DOI arXiv
Lopes Dias, João A normal form theorem for Brjuno skew systems through renormalization. (English) Zbl 1104.37029 J. Differ. Equations 230, No. 1, 1-23 (2006). MSC: 37E20 37G05 37C10 PDFBibTeX XMLCite \textit{J. Lopes Dias}, J. Differ. Equations 230, No. 1, 1--23 (2006; Zbl 1104.37029) Full Text: DOI