Pinzari, Gabriella; Liu, Xiang Quantitative kam theory, with an application to the three-body problem. (English) Zbl 1525.37068 J. Nonlinear Sci. 33, No. 5, Paper No. 90, 45 p. (2023). MSC: 37J40 37J11 70F07 70H08 70H33 70K43 PDFBibTeX XMLCite \textit{G. Pinzari} and \textit{X. Liu}, J. Nonlinear Sci. 33, No. 5, Paper No. 90, 45 p. (2023; Zbl 1525.37068) Full Text: DOI arXiv
Butler, Leo T. Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat. (English) Zbl 1513.70065 Nonlinearity 35, No. 8, 4659-4694 (2022). MSC: 70H08 37J40 82B05 70F40 PDFBibTeX XMLCite \textit{L. T. Butler}, Nonlinearity 35, No. 8, 4659--4694 (2022; Zbl 1513.70065) Full Text: DOI arXiv
Valvo, Lorenzo; Vittot, Michel Hamiltonian perturbation theory on a Lie algebra: application to a non-autonomous symmetric top. (English) Zbl 1492.37061 Discontin. Nonlinearity Complex. 10, No. 3, 347-367 (2021). MSC: 37J37 37J40 37J65 70E17 70G45 PDFBibTeX XMLCite \textit{L. Valvo} and \textit{M. Vittot}, Discontin. Nonlinearity Complex. 10, No. 3, 347--367 (2021; Zbl 1492.37061) Full Text: DOI arXiv
Butler, Leo T. Invariant tori for a class of singly thermostated Hamiltonians. (English) Zbl 1477.70033 J. Math. Phys. 61, No. 8, 082702, 20 p. (2020). MSC: 70H33 70H08 28D05 PDFBibTeX XMLCite \textit{L. T. Butler}, J. Math. Phys. 61, No. 8, 082702, 20 p. (2020; Zbl 1477.70033) Full Text: DOI arXiv
Lim, Chjan C. General Jacobi coordinates and Herman resonance for some nonheliocentric celestial \(N\)-body problems. (English) Zbl 1480.70019 Regul. Chaotic Dyn. 25, No. 2, 149-165 (2020). Reviewer: Lennard Bakker (Provo) MSC: 70F10 37J40 PDFBibTeX XMLCite \textit{C. C. Lim}, Regul. Chaotic Dyn. 25, No. 2, 149--165 (2020; Zbl 1480.70019) Full Text: DOI
Pinzari, Gabriella Perihelia reduction and global Kolmogorov tori in the planetary problem. (English) Zbl 1421.70025 Memoirs of the American Mathematical Society 1218. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4102-9/print; 978-1-4704-4813-4/ebook). vi, 96 p. (2018). MSC: 70F10 70F15 37J40 34C20 37J10 37J15 PDFBibTeX XMLCite \textit{G. Pinzari}, Perihelia reduction and global Kolmogorov tori in the planetary problem. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1421.70025) Full Text: DOI arXiv Link
Pinzari, Gabriella On the co-existence of maximal and whiskered tori in the planetary three-body problem. (English) Zbl 1391.70024 J. Math. Phys. 59, No. 5, 052701, 37 p. (2018). MSC: 70F07 70F15 70E50 PDFBibTeX XMLCite \textit{G. Pinzari}, J. Math. Phys. 59, No. 5, 052701, 37 p. (2018; Zbl 1391.70024) 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
Pinzari, Gabriella Global Kolmogorov tori in the planetary \(N\)-body problem. Announcement of result. (English) Zbl 1367.70050 Electron. Res. Announc. Math. Sci. 22, 55-75 (2015). MSC: 70K43 34D10 37J40 70F10 PDFBibTeX XMLCite \textit{G. Pinzari}, Electron. Res. Announc. Math. Sci. 22, 55--75 (2015; Zbl 1367.70050) Full Text: DOI arXiv
Pinzari, Gabriella Canonical coordinates for the planetary problem. (English) Zbl 1325.70003 Acta Appl. Math. 137, No. 1, 205-232 (2015). MSC: 70-02 37-02 70F15 PDFBibTeX XMLCite \textit{G. Pinzari}, Acta Appl. Math. 137, No. 1, 205--232 (2015; Zbl 1325.70003) Full Text: DOI arXiv
Palacián, Jesús F.; Sayas, Flora; Yanguas, Patricia Flow reconstruction and invariant tori in the spatial three-body problem. (English) Zbl 1305.70020 J. Differ. Equations 258, No. 6, 2114-2159 (2015). MSC: 70F07 70K65 37J15 37J40 37J20 PDFBibTeX XMLCite \textit{J. F. Palacián} et al., J. Differ. Equations 258, No. 6, 2114--2159 (2015; Zbl 1305.70020) Full Text: DOI
González-Enríquez, A.; Haro, A.; de la Llave, R. Singularity theory for non-twist KAM tori. (English) Zbl 1343.37043 Mem. Am. Math. Soc. 1067, vi, 115 p. (2014). MSC: 37J20 37J40 PDFBibTeX XMLCite \textit{A. González-Enríquez} et al., Singularity theory for non-twist KAM tori. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1343.37043) Full Text: DOI
Pinzari, Gabriella Aspects of the planetary Birkhoff normal form. (English) Zbl 1320.70007 Regul. Chaotic Dyn. 18, No. 6, 860-906 (2013). MSC: 70F07 37J40 70F10 70F15 70K43 70K45 PDFBibTeX XMLCite \textit{G. Pinzari}, Regul. Chaotic Dyn. 18, No. 6, 860--906 (2013; Zbl 1320.70007) Full Text: DOI arXiv
Chierchia, Luigi; Pinzari, Gabriella The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. (English) Zbl 1316.70010 Invent. Math. 186, No. 1, 1-77 (2011). MSC: 70F10 70H33 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{G. Pinzari}, Invent. Math. 186, No. 1, 1--77 (2011; Zbl 1316.70010) Full Text: DOI