Ratiu, Tudor S.; Wacheux, Christophe; Zung, Nguyen Tien Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. (English) Zbl 1526.37002 Memoirs of the American Mathematical Society 1424. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6439-4/pbk; 978-1-4704-7540-6/ebook). v, 89 p. (2023). Reviewer: Manuel de León (Madrid) MSC: 37-02 37J35 37J39 37J12 53D05 53D20 58K45 53A15 52A01 PDFBibTeX XMLCite \textit{T. S. Ratiu} et al., Convexity of singular affine structures and toric-focus integrable Hamiltonian systems. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1526.37002) Full Text: DOI arXiv
Ratiu, Tudor Stefan; Zung, Nguyen Tien Integrable systems in planar robotics. (English) Zbl 1462.37068 Chebyshevskiĭ Sb. 21, No. 2(74), 320-340 (2020). MSC: 37J35 70B15 70E60 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{N. T. Zung}, Chebyshevskiĭ Sb. 21, No. 2(74), 320--340 (2020; Zbl 1462.37068) Full Text: arXiv MNR
Ratiu, Tudor S.; Tarama, Daisuke Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type. (English) Zbl 1460.53074 Res. Math. Sci. 7, No. 4, Paper No. 32, 36 p. (2020). Reviewer: Miguel Paternain (Montevideo) MSC: 53D25 70E15 70E45 22E46 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{D. Tarama}, Res. Math. Sci. 7, No. 4, Paper No. 32, 36 p. (2020; Zbl 1460.53074) Full Text: DOI
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S. The geometric nature of the Flaschka transformation. (English) Zbl 1368.37065 Commun. Math. Phys. 352, No. 2, 457-517 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J05 17B08 17B80 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Commun. Math. Phys. 352, No. 2, 457--517 (2017; Zbl 1368.37065) Full Text: DOI
Dobrogowska, Alina; Ratiu, Tudor S. Integrable systems of Neumann type. (English) Zbl 1338.37071 J. Dyn. Differ. Equations 27, No. 3-4, 533-553 (2015); erratum ibid. 29, No. 1, 343 (2017). Reviewer: Tamás F. Görbe (Szeged) MSC: 37J35 53D17 PDFBibTeX XMLCite \textit{A. Dobrogowska} and \textit{T. S. Ratiu}, J. Dyn. Differ. Equations 27, No. 3--4, 533--553 (2015; Zbl 1338.37071) Full Text: DOI Link
Ratiu, Tudor S.; Tarama, Daisuke The \(U(n)\) free rigid body: integrability and stability analysis of the equilibria. (English) Zbl 1378.70005 J. Differ. Equations 259, No. 12, 7284-7331 (2015). MSC: 70E15 70E45 34D20 37K10 70H06 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{D. Tarama}, J. Differ. Equations 259, No. 12, 7284--7331 (2015; Zbl 1378.70005) Full Text: DOI
Birtea, Petre; Caşu, Ioan; Ratiu, Tudor S.; Turhan, Murat Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body. (English) Zbl 1300.70005 J. Nonlinear Sci. 22, No. 2, 187-212 (2012). MSC: 70E17 70E45 70G45 70K20 PDFBibTeX XMLCite \textit{P. Birtea} et al., J. Nonlinear Sci. 22, No. 2, 187--212 (2012; Zbl 1300.70005) Full Text: DOI arXiv
Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. A class of integrable flows on the space of symmetric matrices. (English) Zbl 1231.37030 Commun. Math. Phys. 290, No. 2, 399-435 (2009). MSC: 37J35 53D05 PDFBibTeX XMLCite \textit{A. M. Bloch} et al., Commun. Math. Phys. 290, No. 2, 399--435 (2009; Zbl 1231.37030) Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor Reduction of Poisson manifolds. (English) Zbl 0602.58016 Lett. Math. Phys. 11, 161-169 (1986). Reviewer: H.Kilp MSC: 53D20 53D17 70G45 70S15 PDFBibTeX XMLCite \textit{J. E. Marsden} and \textit{T. Ratiu}, Lett. Math. Phys. 11, 161--169 (1986; Zbl 0602.58016) Full Text: DOI