Sevryuk, M. B. Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2. (English. Russian original) Zbl 1462.37074 J. Math. Sci., New York 253, No. 5, 730-753 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546-541 (2017). MSC: 37J40 70H08 70K43 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, J. Math. Sci., New York 253, No. 5, 730--753 (2021; Zbl 1462.37074); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546--541 (2017) Full Text: DOI arXiv
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Normal resonances in a double Hopf bifurcation. (English) Zbl 1461.37051 Indag. Math., New Ser. 32, No. 1, 33-54 (2021). Reviewer: Hao Wu (Nanjing) MSC: 37G05 37G15 37G35 37J20 37J40 PDFBibTeX XMLCite \textit{H. Broer} et al., Indag. Math., New Ser. 32, No. 1, 33--54 (2021; Zbl 1461.37051) 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
Broer, Henk W.; Hanßmann, Heinz Bifurcations in volume-preserving systems. (English) Zbl 1422.37035 Acta Appl. Math. 162, 3-32 (2019). MSC: 37J20 37J40 37C10 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{H. Hanßmann}, Acta Appl. Math. 162, 3--32 (2019; Zbl 1422.37035) Full Text: DOI
Massetti, Jessica Elisa Normal forms for perturbations of systems possessing a Diophantine invariant torus. (English) Zbl 1443.37048 Ergodic Theory Dyn. Syst. 39, No. 8, 2176-2222 (2019). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70H08 37N05 PDFBibTeX XMLCite \textit{J. E. Massetti}, Ergodic Theory Dyn. Syst. 39, No. 8, 2176--2222 (2019; Zbl 1443.37048) Full Text: DOI arXiv
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Persistence properties of normally hyperbolic Tori. (English) Zbl 1400.37067 Regul. Chaotic Dyn. 23, No. 2, 212-225 (2018). MSC: 37J40 37G35 37J20 70H08 PDFBibTeX XMLCite \textit{H. Broer} et al., Regul. Chaotic Dyn. 23, No. 2, 212--225 (2018; Zbl 1400.37067) Full Text: DOI
Massetti, Jessica Elisa A normal form à la Moser for diffeomorphisms and a generalization of Rüssmann’s translated curve theorem to higher dimensions. (English) Zbl 1456.37066 Anal. PDE 11, No. 1, 149-170 (2018). MSC: 37J40 37C05 70H08 70H09 PDFBibTeX XMLCite \textit{J. E. Massetti}, Anal. PDE 11, No. 1, 149--170 (2018; Zbl 1456.37066) Full Text: DOI arXiv
Sevryuk, Mikhail B. Families of invariant tori in KAM theory: interplay of integer characteristics. (English) Zbl 1384.37078 Regul. Chaotic Dyn. 22, No. 6, 603-615 (2017). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 70H08 70H33 70K43 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 22, No. 6, 603--615 (2017; Zbl 1384.37078) Full Text: DOI arXiv
Sevryuk, Mikhail B. Whitney smooth families of invariant tori within the reversible context 2 of KAM theory. (English) Zbl 1369.70044 Regul. Chaotic Dyn. 21, No. 6, 599-620 (2016). MSC: 70K43 70H33 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 21, No. 6, 599--620 (2016; Zbl 1369.70044) Full Text: DOI arXiv
Hanßmann, Heinz Non-degeneracy conditions in KAM theory. (English) Zbl 1253.37058 Indag. Math., New Ser. 22, No. 3-4, 241-256 (2011). MSC: 37J40 PDFBibTeX XMLCite \textit{H. Hanßmann}, Indag. Math., New Ser. 22, No. 3--4, 241--256 (2011; Zbl 1253.37058) Full Text: DOI
Vitolo, Renato; Broer, Henk; Simó, Carles Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. (English) Zbl 1225.37087 Regul. Chaotic Dyn. 16, No. 1-2, 154-184 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37M20 37C55 37G30 PDFBibTeX XMLCite \textit{R. Vitolo} et al., Regul. Chaotic Dyn. 16, No. 1--2, 154--184 (2011; Zbl 1225.37087) Full Text: DOI
Hanßmann, Heinz Quasi-periodic bifurcations in reversible systems. (English) Zbl 1225.37059 Regul. Chaotic Dyn. 16, No. 1-2, 51-60 (2011). Reviewer: Vasile Marinca (Timişoara) MSC: 37G30 37G40 70K43 PDFBibTeX XMLCite \textit{H. Hanßmann}, Regul. Chaotic Dyn. 16, No. 1--2, 51--60 (2011; Zbl 1225.37059) Full Text: DOI
Sevryuk, Mikhail B. The reversible context 2 in KAM theory: the first steps. (English) Zbl 1277.37091 Regul. Chaotic Dyn. 16, No. 1-2, 24-38 (2011). MSC: 37J40 70H33 70K43 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 16, No. 1--2, 24--38 (2011; Zbl 1277.37091) Full Text: DOI
Broer, H. W.; Hoo, J.; Naudot, V. Normal linear stability of quasi-periodic tori. (English) Zbl 1184.37045 J. Differ. Equations 232, No. 2, 355-418 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 37J40 34D30 70H08 70H33 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Differ. Equations 232, No. 2, 355--418 (2007; Zbl 1184.37045) Full Text: DOI Link
Wagener, Florian On the quasi-periodic \(d\)-fold degenerate bifurcation. (English) Zbl 1080.37065 J. Differ. Equations 216, No. 2, 261-281 (2005). Reviewer: Jens Rademacher (Berlin) MSC: 37J40 37J20 70K43 PDFBibTeX XMLCite \textit{F. Wagener}, J. Differ. Equations 216, No. 2, 261--281 (2005; Zbl 1080.37065) Full Text: DOI