Alonso, Jaume; Suris, Yuri B.; Wei, Kangning A three-dimensional generalization of QRT maps. (English) Zbl 07754905 J. Nonlinear Sci. 33, No. 6, Paper No. 117, 27 p. (2023). Reviewer: Giorgio Gubbiotti (Milano) MSC: 37J70 39A36 14H70 14E05 14E07 PDFBibTeX XMLCite \textit{J. Alonso} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 117, 27 p. (2023; Zbl 07754905) Full Text: DOI arXiv OA License
Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri Discretized fast-slow systems with canards in two dimensions. (English) Zbl 1484.39016 J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 39A28 39A12 34E15 34E20 37M15 37M20 37M21 37G10 65L06 PDFBibTeX XMLCite \textit{M. Engel} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022; Zbl 1484.39016) Full Text: DOI arXiv
Schmalian, Misha; Suris, Yuri B.; Tumarkin, Yuriy How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6. (English) Zbl 1485.37063 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 40, 19 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J70 37M15 39A36 14E05 14H70 PDFBibTeX XMLCite \textit{M. Schmalian} et al., Math. Phys. Anal. Geom. 24, No. 4, Paper No. 40, 19 p. (2021; Zbl 1485.37063) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B.; Zander, René How one can repair non-integrable Kahan discretizations. (English) Zbl 1508.37084 J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020). MSC: 37J70 37J38 39A36 14H70 14H45 14E05 14E07 PDFBibTeX XMLCite \textit{M. Petrera} et al., J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020; Zbl 1508.37084) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B. Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. (English) Zbl 1457.37085 J. Comput. Dyn. 6, No. 2, 401-408 (2019). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 65P10 37M15 37J35 14E05 39A36 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, J. Comput. Dyn. 6, No. 2, 401--408 (2019; Zbl 1457.37085) Full Text: DOI arXiv
Petrera, Matteo; Smirin, Jennifer; Suris, Yuri B. Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. (English) Zbl 1501.37068 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180761, 13 p. (2019). MSC: 37J70 39A36 14E05 14H52 PDFBibTeX XMLCite \textit{M. Petrera} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180761, 13 p. (2019; Zbl 1501.37068) Full Text: DOI arXiv Link
Petrera, Matteo; Suris, Yuri B. A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps. (English) Zbl 1404.37070 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160535, 16 p. (2017). MSC: 37J35 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160535, 16 p. (2017; Zbl 1404.37070) Full Text: DOI arXiv
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.; Fedorov, Yuri N. On the construction of elliptic solutions of integrable birational maps. (English) Zbl 1380.37116 Exp. Math. 26, No. 3, 324-341 (2017). Reviewer: Davide Masoero (Lisboa) MSC: 37J35 14H70 70H06 33E05 34M05 65P10 PDFBibTeX XMLCite \textit{M. Petrera} et al., Exp. Math. 26, No. 3, 324--341 (2017; Zbl 1380.37116) Full Text: DOI arXiv Link
Petrera, Matteo; Suris, Yuri B. Spherical geometry and integrable systems. (English) Zbl 1304.37040 Geom. Dedicata 169, 83-98 (2014). Reviewer: Manuel de León (Madrid) MSC: 37J35 51M10 37K25 37K10 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Geom. Dedicata 169, 83--98 (2014; Zbl 1304.37040) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B. S. V. Kovalevskaya system, its generalization and discretization. (English) Zbl 1308.37027 Front. Math. China 8, No. 5, 1047-1065 (2013). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 37J35 70E17 70E40 70H06 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Front. Math. China 8, No. 5, 1047--1065 (2013; Zbl 1308.37027) Full Text: DOI arXiv
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B. On integrability of Hirota-Kimura type discretizations. (English) Zbl 1258.37067 Regul. Chaotic Dyn. 16, No. 3-4, 245-289 (2011). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 37K10 14E05 37J35 PDFBibTeX XMLCite \textit{M. Petrera} et al., Regul. Chaotic Dyn. 16, No. 3--4, 245--289 (2011; Zbl 1258.37067) Full Text: DOI arXiv
Petrera, Matteo; Suris, Yuri B. On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top. (English) Zbl 1202.37089 Math. Nachr. 283, No. 11, 1654-1663 (2010). MSC: 37K10 70E15 14E05 PDFBibTeX XMLCite \textit{M. Petrera} and \textit{Y. B. Suris}, Math. Nachr. 283, No. 11, 1654--1663 (2010; Zbl 1202.37089) Full Text: DOI arXiv
Bobenko, A. I.; Matthes, D.; Suris, Yu. B. Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. (English) Zbl 1098.53005 St. Petersbg. Math. J. 17, No. 1, 39-61 (2006) and Algebra Anal. 17, No. 1, 53-83 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53A10 37K10 37K25 35L70 35Q53 PDFBibTeX XMLCite \textit{A. I. Bobenko} et al., St. Petersbg. Math. J. 17, No. 1, 39--61 (2006; Zbl 1098.53005) Full Text: DOI arXiv