Berger, Pierre Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface. (Coexistence de comportements chaotiques et elliptiques parmi les symplectomorphismes analytiques de toute surface.) (English. French summary) Zbl 07680765 J. Éc. Polytech., Math. 10, 525-547 (2023). MSC: 37J70 37J46 37F80 37E30 37D45 37D25 PDF BibTeX XML Cite \textit{P. Berger}, J. Éc. Polytech., Math. 10, 525--547 (2023; Zbl 07680765) Full Text: DOI arXiv OpenURL
Arnaud, Marie-Claude; Zavidovique, Maxime Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2. (English) Zbl 07680105 Ergodic Theory Dyn. Syst. 43, No. 3, 794-826 (2023). MSC: 37E40 37J11 37J70 37E10 37J30 PDF BibTeX XML Cite \textit{M.-C. Arnaud} and \textit{M. Zavidovique}, Ergodic Theory Dyn. Syst. 43, No. 3, 794--826 (2023; Zbl 07680105) Full Text: DOI arXiv OpenURL
Izosimov, Anton Polygon recutting as a cluster integrable system. (English) Zbl 07679757 Sel. Math., New Ser. 29, No. 2, Paper No. 21, 31 p. (2023). MSC: 37J70 13F60 PDF BibTeX XML Cite \textit{A. Izosimov}, Sel. Math., New Ser. 29, No. 2, Paper No. 21, 31 p. (2023; Zbl 07679757) Full Text: DOI arXiv OpenURL
Kawakubo, Satoshi; Matsuura, Nozomu Explicit formula for discrete Kirchhoff elastic rods. (Japanese. English summary) Zbl 07675555 RIMS Kôkyûroku Bessatsu B91, 13-35 (2023). MSC: 53A70 68U05 70H06 37J70 PDF BibTeX XML Cite \textit{S. Kawakubo} and \textit{N. Matsuura}, RIMS Kôkyûroku Bessatsu B91, 13--35 (2023; Zbl 07675555) Full Text: Link OpenURL
Doliwa, Adam Non-autonomous multidimensional Toda system and multiple interpolation problem. (English) Zbl 07656776 J. Phys. A, Math. Theor. 55, No. 50, Article ID 505202, 17 p. (2022). MSC: 39A36 37K60 37K10 37J70 35J35 PDF BibTeX XML Cite \textit{A. Doliwa}, J. Phys. A, Math. Theor. 55, No. 50, Article ID 505202, 17 p. (2022; Zbl 07656776) Full Text: DOI arXiv OpenURL
Sleigh, Duncan; Vermeeren, Mats Semi-discrete Lagrangian 2-forms and the Toda hierarchy. (English) Zbl 07655518 J. Phys. A, Math. Theor. 55, No. 47, Article ID 475204, 24 p. (2022). MSC: 37K60 37K58 37K10 37J35 37J70 39A36 35A15 70G75 70H30 PDF BibTeX XML Cite \textit{D. Sleigh} and \textit{M. Vermeeren}, J. Phys. A, Math. Theor. 55, No. 47, Article ID 475204, 24 p. (2022; Zbl 07655518) Full Text: DOI arXiv OpenURL
Takagi, Taichiro Differential equations for the closed geometric crystal chains. (English) Zbl 07650518 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415202, 26 p. (2022). MSC: 37J70 37J38 39A36 16T25 PDF BibTeX XML Cite \textit{T. Takagi}, J. Phys. A, Math. Theor. 55, No. 41, Article ID 415202, 26 p. (2022; Zbl 07650518) Full Text: DOI arXiv OpenURL
Levi, Decio; Winternitz, Pavel; Yamilov, Ravil I. Continuous symmetries and integrability of discrete equations. (English) Zbl 07647939 CRM Monograph Series 38. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4354-3/hbk; 978-1-4704-7238-2/ebook). xxi, 494 p. (2022). MSC: 39-02 37-02 39A14 39A36 37J70 37K60 70G65 PDF BibTeX XML Cite \textit{D. Levi} et al., Continuous symmetries and integrability of discrete equations. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07647939) Full Text: DOI OpenURL
Feigin, Misha; Vrabec, Martin Bispectrality of \(AG_2\) Calogero-Moser-Sutherland system. (English) Zbl 07639587 Math. Phys. Anal. Geom. 25, No. 4, Paper No. 29, 33 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J38 37J37 37J70 37J35 39A70 34L40 81Q80 PDF BibTeX XML Cite \textit{M. Feigin} and \textit{M. Vrabec}, Math. Phys. Anal. Geom. 25, No. 4, Paper No. 29, 33 p. (2022; Zbl 07639587) Full Text: DOI arXiv OpenURL
Li, Xing; Takenawa, Tomoyuki Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada’s representation of elliptic curves. (English) Zbl 1507.39013 J. Phys. A, Math. Theor. 55, No. 30, Article ID 305202, 13 p. (2022). MSC: 39A36 37J70 14E05 14H52 PDF BibTeX XML Cite \textit{X. Li} and \textit{T. Takenawa}, J. Phys. A, Math. Theor. 55, No. 30, Article ID 305202, 13 p. (2022; Zbl 1507.39013) Full Text: DOI arXiv OpenURL
Zhao, Lei Projective dynamics and an integrable Boltzmann billiard model. (English) Zbl 07617786 Commun. Contemp. Math. 24, No. 10, Article ID 2150085, 17 p. (2022). MSC: 37J70 37J35 37C83 70F10 70F35 PDF BibTeX XML Cite \textit{L. Zhao}, Commun. Contemp. Math. 24, No. 10, Article ID 2150085, 17 p. (2022; Zbl 07617786) Full Text: DOI arXiv OpenURL
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.; Tapley, Benjamin K. Detecting and determining preserved measures and integrals of birational maps. (English) Zbl 1505.37075 J. Comput. Dyn. 9, No. 4, 553-574 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37J35 37M15 37M21 39A36 14E05 PDF BibTeX XML Cite \textit{E. Celledoni} et al., J. Comput. Dyn. 9, No. 4, 553--574 (2022; Zbl 1505.37075) Full Text: DOI arXiv OpenURL
Novokshenov, V. Yu. Asymptotic solutions of the discrete Painlevé equation of second type. (English. Russian original) Zbl 1503.39012 Math. Notes 112, No. 4, 598-607 (2022); translation from Mat. Zametki 112, No. 4, 613-624 (2022). Reviewer: Mengkun Zhu (Jinan) MSC: 39A36 39A12 37J70 34M55 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, Math. Notes 112, No. 4, 598--607 (2022; Zbl 1503.39012); translation from Mat. Zametki 112, No. 4, 613--624 (2022) Full Text: DOI OpenURL
Pallister, Joe \( \tilde{A}\) and \(\tilde{D}\) type cluster algebras: triangulated surfaces and friezes. (English) Zbl 07603335 J. Algebr. Comb. 56, No. 4, 1163-1202 (2022). MSC: 13F60 16G70 37J70 PDF BibTeX XML Cite \textit{J. Pallister}, J. Algebr. Comb. 56, No. 4, 1163--1202 (2022; Zbl 07603335) Full Text: DOI arXiv OpenURL
Yamamoto, Yusaku; Minoshita, Naoya; Iwasaki, Masashi Discrete relativistic Toda equation from the perspective of shifted \(LR\) transformation. (English) Zbl 1498.37102 Physica D 440, Article ID 133485, 9 p. (2022). MSC: 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{Y. Yamamoto} et al., Physica D 440, Article ID 133485, 9 p. (2022; Zbl 1498.37102) Full Text: DOI OpenURL
Carpentier, Sylvain; Mikhailov, Alexander V.; Wang, Jing Ping Quantisations of the Volterra hierarchy. (English) Zbl 07594519 Lett. Math. Phys. 112, No. 5, Paper No. 94, 38 p. (2022). Reviewer: Danilo Latini (Brisbane) MSC: 37J70 37K60 37J37 81R12 81Q80 81S08 81S10 53D50 53D55 17B80 PDF BibTeX XML Cite \textit{S. Carpentier} et al., Lett. Math. Phys. 112, No. 5, Paper No. 94, 38 p. (2022; Zbl 07594519) Full Text: DOI arXiv OpenURL
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan A path-counting analysis of phase shifts in box-ball systems. (English) Zbl 07584797 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022). MSC: 17B80 37J70 37K10 PDF BibTeX XML Cite \textit{N. M. Ercolani} and \textit{J. Ramalheira-Tsu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022; Zbl 07584797) Full Text: DOI arXiv OpenURL
Izosimov, Anton The pentagram map, Poncelet polygons, and commuting difference operators. (English) Zbl 1505.37076 Compos. Math. 158, No. 5, 1084-1124 (2022). Reviewer: Giorgio Gubbiotti (Milano) MSC: 37J70 39A70 51A05 33E05 52C05 PDF BibTeX XML Cite \textit{A. Izosimov}, Compos. Math. 158, No. 5, 1084--1124 (2022; Zbl 1505.37076) Full Text: DOI arXiv OpenURL
Izosimov, Anton Pentagram maps and refactorization in Poisson-Lie groups. (English) Zbl 07537721 Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022). MSC: 37J70 37J35 39A36 53D17 PDF BibTeX XML Cite \textit{A. Izosimov}, Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022; Zbl 07537721) Full Text: DOI arXiv OpenURL
Ercolani, Nicholas; Lega, Joceline; Tippings, Brandon Dynamics of nonpolar solutions to the discrete Painlevé I equation. (English) Zbl 1506.39013 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1322-1351 (2022). Reviewer: Yousuke Ohyama (Tokushima) MSC: 39A36 39A12 37J65 41A60 37J70 PDF BibTeX XML Cite \textit{N. Ercolani} et al., SIAM J. Appl. Dyn. Syst. 21, No. 2, 1322--1351 (2022; Zbl 1506.39013) Full Text: DOI arXiv OpenURL
Filipuk, Galina; Kecker, Thomas Non-standard discretizations of a Hamiltonian system related to the fourth Painlevé equation. (English) Zbl 1497.37075 Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 105-124 (2022). MSC: 37J65 37J70 39A36 PDF BibTeX XML Cite \textit{G. Filipuk} and \textit{T. Kecker}, in: Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific. 105--124 (2022; Zbl 1497.37075) Full Text: DOI OpenURL
Okubo, Naoto; Suzuki, Takao Generalized \(q\)-Painlevé VI systems of type \((A_{2n+1}+A_1+A_1)^{(1)}\) arising from cluster algebra. (English) Zbl 1497.37070 Int. Math. Res. Not. 2022, No. 9, 6561-6607 (2022). MSC: 37J37 37J70 37J65 14E05 39A13 39A36 13F60 PDF BibTeX XML Cite \textit{N. Okubo} and \textit{T. Suzuki}, Int. Math. Res. Not. 2022, No. 9, 6561--6607 (2022; Zbl 1497.37070) Full Text: DOI arXiv OpenURL
Wei, Kangning Involutions of Halphen pencils of index 2 and discrete integrable systems. (English) Zbl 07506353 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 5, 9 p. (2022). MSC: 37J70 37J38 39A36 14E05 14E07 PDF BibTeX XML Cite \textit{K. Wei}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 5, 9 p. (2022; Zbl 07506353) Full Text: DOI arXiv OpenURL
Gubbiotti, G. Classification of variational multiplicative fourth-order difference equations. (English) Zbl 1505.39016 J. Difference Equ. Appl. 28, No. 3, 406-428 (2022). MSC: 39A36 37K60 37J70 PDF BibTeX XML Cite \textit{G. Gubbiotti}, J. Difference Equ. Appl. 28, No. 3, 406--428 (2022; Zbl 1505.39016) Full Text: DOI OpenURL
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 07474637 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Q55 35Q40 35Q51 35C08 37K10 37K35 37J70 39A36 82D40 PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022; Zbl 07474637) Full Text: DOI OpenURL
Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc Pointwise periodic maps with quantized first integrals. (English) Zbl 1491.37043 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022). MSC: 37E30 37C25 39A23 39A36 37C55 37J70 52C20 PDF BibTeX XML Cite \textit{A. Cima} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022; Zbl 1491.37043) Full Text: DOI arXiv OpenURL
Kaloshin, Vadim; Sorrentino, Alfonso Inverse problems and rigidity questions in billiard dynamics. (English) Zbl 1495.37029 Ergodic Theory Dyn. Syst. 42, No. 3, 1023-1056 (2022). MSC: 37C83 37E40 37J35 37J46 37J51 37J70 58J50 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Ergodic Theory Dyn. Syst. 42, No. 3, 1023--1056 (2022; Zbl 1495.37029) Full Text: DOI OpenURL
Izosimov, Anton Intersecting the sides of a polygon. (English) Zbl 1490.37088 Proc. Am. Math. Soc. 150, No. 2, 639-649 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 39A36 39B12 52C05 PDF BibTeX XML Cite \textit{A. Izosimov}, Proc. Am. Math. Soc. 150, No. 2, 639--649 (2022; Zbl 1490.37088) Full Text: DOI arXiv OpenURL
Takenawa, Tomoyuki Space of initial conditions for the four-dimensional Fuji-Suzuki-Tsuda system. (English) Zbl 07623492 RIMS Kôkyûroku Bessatsu B87, 99-111 (2021). MSC: 37J65 37J38 37J70 34M55 14E07 PDF BibTeX XML Cite \textit{T. Takenawa}, RIMS Kôkyûroku Bessatsu B87, 99--111 (2021; Zbl 07623492) Full Text: arXiv Link OpenURL
Igonin, S.; Kolesov, V.; Konstantinou-Rizos, S.; Preobrazhenskaia, M. M. Tetrahedron maps, Yang-Baxter maps, and partial linearisations. (English) Zbl 1507.37089 J. Phys. A, Math. Theor. 54, No. 50, Article ID 505203, 28 p. (2021). MSC: 37J70 37K60 39A36 16T25 PDF BibTeX XML Cite \textit{S. Igonin} et al., J. Phys. A, Math. Theor. 54, No. 50, Article ID 505203, 28 p. (2021; Zbl 1507.37089) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Suzuki, Takao A Lax formulation of a generalized \(q\)-Garnier system. (English) Zbl 07442596 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021). MSC: 37J70 37J65 17B80 14E05 39A36 39A13 34M55 PDF BibTeX XML Cite \textit{T. Suzuki}, Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021; Zbl 07442596) Full Text: DOI arXiv OpenURL
Hone, Andrew N. W. Continued fractions and Hankel determinants from hyperelliptic curves. (English) Zbl 1485.39030 Commun. Pure Appl. Math. 74, No. 11, 2310-2347 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 39A36 37J70 14H70 11B37 11A55 11Y65 15A15 PDF BibTeX XML Cite \textit{A. N. W. Hone}, Commun. Pure Appl. Math. 74, No. 11, 2310--2347 (2021; Zbl 1485.39030) Full Text: DOI arXiv OpenURL
Efremova, L. S. Geometrically integrable maps in the plane and their periodic orbits. (English) Zbl 07423416 Lobachevskii J. Math. 42, No. 10, 2315-2324 (2021). MSC: 37E30 37J70 37C27 37C55 PDF BibTeX XML Cite \textit{L. S. Efremova}, Lobachevskii J. Math. 42, No. 10, 2315--2324 (2021; Zbl 07423416) Full Text: DOI OpenURL
Joshi, Nalini; Nakazono, Nobutaka Reduction of quad-equations consistent around a cuboctahedron I: additive case. (English) Zbl 1491.39010 Proc. Am. Math. Soc., Ser. B 8, 320-335 (2021). MSC: 39A36 39A14 37K60 37J70 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{N. Nakazono}, Proc. Am. Math. Soc., Ser. B 8, 320--335 (2021; Zbl 1491.39010) Full Text: DOI arXiv OpenURL
Mobasheramini, Fatane; Bertola, Marco Quantization of Calogero-Painlevé system and multi-particle quantum Painlevé equations II-VI. (English) Zbl 1477.37070 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021). MSC: 37J65 37J38 37J70 34M55 81R12 81S08 PDF BibTeX XML Cite \textit{F. Mobasheramini} and \textit{M. Bertola}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021; Zbl 1477.37070) Full Text: DOI arXiv OpenURL
van der Kamp, Peter H. A new class of integrable maps of the plane: Manin transformations with involution curves. (English) Zbl 1473.14024 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 067, 14 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14E05 14H70 37J70 37K60 PDF BibTeX XML Cite \textit{P. H. van der Kamp}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 067, 14 p. (2021; Zbl 1473.14024) Full Text: DOI arXiv OpenURL
Kobayashi, Katsuki; Tsujimoto, Satoshi The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices. (English) Zbl 1497.37077 J. Math. Phys. 62, No. 9, 092701, 8 p. (2021). MSC: 37J70 37K60 37K30 37J37 15A21 PDF BibTeX XML Cite \textit{K. Kobayashi} and \textit{S. Tsujimoto}, J. Math. Phys. 62, No. 9, 092701, 8 p. (2021; Zbl 1497.37077) Full Text: DOI arXiv OpenURL
Mtiri, Foued On the classification of solutions to a weighted elliptic system involving the Grushin operator. (English) Zbl 1470.35158 Acta Appl. Math. 174, Paper No. 7, 21 p. (2021). MSC: 35J48 37J70 PDF BibTeX XML Cite \textit{F. Mtiri}, Acta Appl. Math. 174, Paper No. 7, 21 p. (2021; Zbl 1470.35158) Full Text: DOI arXiv OpenURL
Gubbiotti, Giorgio A novel integrable fourth-order difference equation admitting three invariants. (English) Zbl 1471.39016 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 67-75 (2021). MSC: 39A36 37J70 PDF BibTeX XML Cite \textit{G. Gubbiotti}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 67--75 (2021; Zbl 1471.39016) Full Text: DOI OpenURL
Viallet, Claude M. Features of discrete integrability. (English) Zbl 1479.39022 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 21-35 (2021). Reviewer: Pieter Roffelsen (Melbourne) MSC: 39A36 37J70 37K60 PDF BibTeX XML Cite \textit{C. M. Viallet}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 21--35 (2021; Zbl 1479.39022) Full Text: DOI OpenURL
Zander, René On the singularity structure of Kahan discretizations of a class of quadratic vector fields. (English) Zbl 1489.37081 Eur. J. Math. 7, No. 3, 1046-1073 (2021). Reviewer: Florian Beck (Hamburg) MSC: 37J70 37J35 37J30 14H70 14E05 39A36 PDF BibTeX XML Cite \textit{R. Zander}, Eur. J. Math. 7, No. 3, 1046--1073 (2021; Zbl 1489.37081) Full Text: DOI arXiv OpenURL
Jiang, Kai; Stolovitch, Laurent Complete integrability of diffeomorphisms and their local normal forms. (English) Zbl 1483.37033 J. Dyn. Differ. Equations 33, No. 3, 1179-1201 (2021). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 37C25 37C05 37C79 37J70 PDF BibTeX XML Cite \textit{K. Jiang} and \textit{L. Stolovitch}, J. Dyn. Differ. Equations 33, No. 3, 1179--1201 (2021; Zbl 1483.37033) Full Text: DOI arXiv OpenURL
Prokofev, V. V.; Zabrodin, A. V. Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model. (English. Russian original) Zbl 1477.37076 Theor. Math. Phys. 208, No. 2, 1093-1115 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 282-309 (2021). MSC: 37K10 37J35 37J70 37K60 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Theor. Math. Phys. 208, No. 2, 1093--1115 (2021; Zbl 1477.37076); translation from Teor. Mat. Fiz. 208, No. 2, 282--309 (2021) Full Text: DOI arXiv OpenURL
Kels, Andrew P.; Yamazaki, Masahito Lens generalisation of \(\tau\)-functions for the elliptic discrete Painlevé equation. (English) Zbl 1480.37076 Int. Math. Res. Not. 2021, No. 1, 110-151 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J70 37J65 37J37 39A36 11F27 33C80 33E05 34M55 PDF BibTeX XML Cite \textit{A. P. Kels} and \textit{M. Yamazaki}, Int. Math. Res. Not. 2021, No. 1, 110--151 (2021; Zbl 1480.37076) Full Text: DOI arXiv OpenURL
Nackan, Danny; Speciel, Romain Continuous limits of generalized pentagram maps. (English) Zbl 1489.37080 J. Geom. Phys. 167, Article ID 104292, 19 p. (2021). Reviewer: Nenad Manojlović (Faro) MSC: 37J70 37J35 PDF BibTeX XML Cite \textit{D. Nackan} and \textit{R. Speciel}, J. Geom. Phys. 167, Article ID 104292, 19 p. (2021; Zbl 1489.37080) Full Text: DOI arXiv OpenURL
Tan, Chengliang; Zhang, Jilong Calculation of algebraic entropies of d-\(P_{IV}\) and d-\(P_V\). (English) Zbl 1486.37033 J. Math. Phys. 62, No. 6, 063501, 8 p. (2021). Reviewer: Paul Melotti (Paris) MSC: 37J70 39A36 30D35 39A12 PDF BibTeX XML Cite \textit{C. Tan} and \textit{J. Zhang}, J. Math. Phys. 62, No. 6, 063501, 8 p. (2021; Zbl 1486.37033) Full Text: DOI OpenURL
Adamopoulou, P.; Konstantinou-Rizos, S.; Papamikos, G. Integrable extensions of the Adler map via Grassmann algebras. (English. Russian original) Zbl 1467.37058 Theor. Math. Phys. 207, No. 2, 553-559 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 179-187 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J35 37J37 39A36 15A75 17B38 PDF BibTeX XML Cite \textit{P. Adamopoulou} et al., Theor. Math. Phys. 207, No. 2, 553--559 (2021; Zbl 1467.37058); translation from Teor. Mat. Fiz. 207, No. 2, 179--187 (2021) Full Text: DOI arXiv OpenURL
Xu, Xiaoxue; Jiang, Mengmeng; Nijhoff, Frank W. Integrable symplectic maps associated with discrete Korteweg-de Vries-type equations. (English) Zbl 1476.37080 Stud. Appl. Math. 146, No. 1, 233-278 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37J11 37J38 37K10 39A14 39A36 PDF BibTeX XML Cite \textit{X. Xu} et al., Stud. Appl. Math. 146, No. 1, 233--278 (2021; Zbl 1476.37080) Full Text: DOI arXiv OpenURL
Khesin, Boris Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081 Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164-175 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K60 37K25 37J70 37J39 39A36 PDF BibTeX XML Cite \textit{B. Khesin}, in: Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164--175 (2021; Zbl 1472.37081) OpenURL
Petrera, Matteo; Suris, Yuri B.; Wei, Kangning; Zander, René Manin involutions for elliptic pencils and discrete integrable systems. (English) Zbl 07345856 Math. Phys. Anal. Geom. 24, No. 1, Paper No. 6, 26 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J70 37J38 39A36 14H70 14H45 14E05 14E07 PDF BibTeX XML Cite \textit{M. Petrera} et al., Math. Phys. Anal. Geom. 24, No. 1, Paper No. 6, 26 p. (2021; Zbl 07345856) Full Text: DOI arXiv OpenURL
Mase, Takafumi; Nakamura, Akane; Sakai, Hidetaka Discrete Hamiltonians of discrete Painlevé equations. (English. French summary) Zbl 1467.39010 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1251-1264 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 39A12 34M55 37J65 37J70 37K60 PDF BibTeX XML Cite \textit{T. Mase} et al., Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1251--1264 (2021; Zbl 1467.39010) Full Text: DOI arXiv OpenURL
Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 1458.37073 J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16 PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 1458.37073) Full Text: DOI arXiv OpenURL
Zhang, Wei-Guo; Wang, Meng-Yu; Song, Caiqin Soliton solutions of the semi-discrete complex coupled dispersionless integrable system. (English) Zbl 1462.37077 Appl. Math. Lett. 113, Article ID 106859, 8 p. (2021). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37J70 37K40 37K60 PDF BibTeX XML Cite \textit{W.-G. Zhang} et al., Appl. Math. Lett. 113, Article ID 106859, 8 p. (2021; Zbl 1462.37077) Full Text: DOI OpenURL
Nobe, Atsushi; Matsukidaira, Junta Periodicity, linearizability, and integrability in seed mutations of type \(\boldsymbol{A}_N^{(1)}\). (English) Zbl 1475.37064 J. Math. Phys. 62, No. 1, 013510, 24 p. (2021). Reviewer: Agustín Moreno Cañadas (Bogotá) MSC: 37J37 37J70 13F60 16G20 PDF BibTeX XML Cite \textit{A. Nobe} and \textit{J. Matsukidaira}, J. Math. Phys. 62, No. 1, 013510, 24 p. (2021; Zbl 1475.37064) Full Text: DOI arXiv OpenURL
Efremova, L. S. Small \(C^1\)-smooth perturbations of skew products and the partial integrability property. (English) Zbl 07664186 Appl. Math. Nonlinear Sci. 5, No. 2, 317-328 (2020). MSC: 37E05 37J70 PDF BibTeX XML Cite \textit{L. S. Efremova}, Appl. Math. Nonlinear Sci. 5, No. 2, 317--328 (2020; Zbl 07664186) Full Text: DOI OpenURL
Petrera, Matteo; Suris, Yuri B.; Zander, René How one can repair non-integrable Kahan discretizations. (English) Zbl 07644740 J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020). MSC: 37J70 37J38 39A36 14H70 14H45 14E05 14E07 PDF BibTeX XML Cite \textit{M. Petrera} et al., J. Phys. A, Math. Theor. 53, No. 37, Article ID 37LT01, 7 p. (2020; Zbl 07644740) Full Text: DOI arXiv OpenURL
Glick, Max The limit point of the pentagram map. (English) Zbl 1484.37075 Int. Math. Res. Not. 2020, No. 9, 2818-2831 (2020). MSC: 37J70 37J39 52A10 PDF BibTeX XML Cite \textit{M. Glick}, Int. Math. Res. Not. 2020, No. 9, 2818--2831 (2020; Zbl 1484.37075) Full Text: DOI arXiv OpenURL
Brown, Tova; Ercolani, Nicholas M. Integrable mappings from a unified perspective. (English) Zbl 1484.37074 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 217-264 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J70 37J39 14H70 37H12 37H10 PDF BibTeX XML Cite \textit{T. Brown} and \textit{N. M. Ercolani}, Lond. Math. Soc. Lect. Note Ser. 458, 217--264 (2020; Zbl 1484.37074) Full Text: arXiv Link OpenURL
Zemánek, Petr Linear operators associated with differential and difference systems: what is different? (English) Zbl 1472.39040 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 435-448 (2020). MSC: 39A70 39A12 37J70 37J11 34L05 PDF BibTeX XML Cite \textit{P. Zemánek}, Springer Proc. Math. Stat. 341, 435--448 (2020; Zbl 1472.39040) Full Text: DOI OpenURL
Bastien, Guy; Rogalski, Marc QRT-families of degree four biquadratic curves each of them has genus zero, associated dynamical systems. (English) Zbl 1473.39033 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 369-377 (2020). MSC: 39A36 37J70 14E05 14H70 PDF BibTeX XML Cite \textit{G. Bastien} and \textit{M. Rogalski}, Springer Proc. Math. Stat. 341, 369--377 (2020; Zbl 1473.39033) Full Text: DOI OpenURL
Hone, A. N. W.; Quispel, G. R. W. Analogues of Kahan’s method for higher order equations of higher degree. (English) Zbl 1464.37068 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 175-189 (2020). MSC: 37J70 37J35 39A36 37M15 37K60 14E05 65P10 PDF BibTeX XML Cite \textit{A. N. W. Hone} and \textit{G. R. W. Quispel}, Springer Proc. Math. Stat. 338, 175--189 (2020; Zbl 1464.37068) Full Text: DOI arXiv Link OpenURL
Carstea, Adrian Stefan; Takenawa, Tomoyuki An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation. (English) Zbl 1462.37081 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 43-53 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K60 37K20 37J70 39A14 39A36 14E05 PDF BibTeX XML Cite \textit{A. S. Carstea} and \textit{T. Takenawa}, Springer Proc. Math. Stat. 338, 43--53 (2020; Zbl 1462.37081) Full Text: DOI arXiv OpenURL
Gubbiotti, Giorgio; Joshi, Nalini; Tran, Dinh Thi; Viallet, Claude-Michel Complexity and integrability in 4D bi-rational maps with two invariants. (English) Zbl 1464.37067 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 17-36 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 39A36 14E05 PDF BibTeX XML Cite \textit{G. Gubbiotti} et al., Springer Proc. Math. Stat. 338, 17--36 (2020; Zbl 1464.37067) Full Text: DOI arXiv OpenURL
Strehlke, Nick A unique continuation property for the level set equation. (English) Zbl 1458.35091 Int. Math. Res. Not. 2020, No. 16, 4843-4851 (2020). MSC: 35B60 37J70 53E10 PDF BibTeX XML Cite \textit{N. Strehlke}, Int. Math. Res. Not. 2020, No. 16, 4843--4851 (2020; Zbl 1458.35091) Full Text: DOI arXiv OpenURL
Bastien, Guy; Rogalski, Marc Dynamical systems associated with QRT families of degree four biquadratic curves each of them with genus zero. (English) Zbl 1474.37080 Sarajevo J. Math. 16(29), No. 2, 187-199 (2020). MSC: 37J70 37J38 14E05 14H70 PDF BibTeX XML Cite \textit{G. Bastien} and \textit{M. Rogalski}, Sarajevo J. Math. 16(29), No. 2, 187--199 (2020; Zbl 1474.37080) OpenURL
Croydon, David A.; Sasada, Makiko; Tsujimoto, Satoshi Dynamics of the ultra-discrete Toda lattice via Pitman’s transformation. (English) Zbl 1459.39044 RIMS Kôkyûroku Bessatsu B78, 235-250 (2020). MSC: 39A36 37J70 37K60 37B15 PDF BibTeX XML Cite \textit{D. A. Croydon} et al., RIMS Kôkyûroku Bessatsu B78, 235--250 (2020; Zbl 1459.39044) Full Text: arXiv Link OpenURL
Nagai, Hidetomo An ultradiscrete permanent solution to the ultradiscrete two-dimensional Toda equation. (English) Zbl 1457.37095 RIMS Kôkyûroku Bessatsu B78, 199-209 (2020). MSC: 37K60 37J70 PDF BibTeX XML Cite \textit{H. Nagai}, RIMS Kôkyûroku Bessatsu B78, 199--209 (2020; Zbl 1457.37095) Full Text: Link OpenURL
Kamiya, Ryo; Kanki, Masataka; Mase, Takafumi; Tokihiro, Tetsuji Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type. (English) Zbl 1459.39045 RIMS Kôkyûroku Bessatsu B78, 121-153 (2020). MSC: 39A36 39A14 37K60 37J70 PDF BibTeX XML Cite \textit{R. Kamiya} et al., RIMS Kôkyûroku Bessatsu B78, 121--153 (2020; Zbl 1459.39045) Full Text: arXiv Link OpenURL
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 1457.39006 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDF BibTeX XML Cite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 1457.39006) Full Text: Link OpenURL
Osipov, Andrey S. Inverse spectral problems for second-order difference operators and their application to the study of Volterra type systems. (English) Zbl 1457.37084 Russ. J. Nonlinear Dyn. 16, No. 3, 397-419 (2020). MSC: 37J70 37J35 37K15 47B39 47B36 39A70 39A36 PDF BibTeX XML Cite \textit{A. S. Osipov}, Russ. J. Nonlinear Dyn. 16, No. 3, 397--419 (2020; Zbl 1457.37084) Full Text: DOI MNR OpenURL
Helminck, G. F.; Poberezhny, V. A.; Polenkova, S. V. Extensions of the discrete KP hierarchy and its strict version. (English. Russian original) Zbl 1470.37085 Theor. Math. Phys. 204, No. 3, 1140-1153 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 367-382 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37J70 37K10 39A36 PDF BibTeX XML Cite \textit{G. F. Helminck} et al., Theor. Math. Phys. 204, No. 3, 1140--1153 (2020; Zbl 1470.37085); translation from Teor. Mat. Fiz. 204, No. 3, 367--382 (2020) Full Text: DOI OpenURL
Bountis, Anastasios; Veerman, J. J. P.; Vivaldi, Franco Cauchy distributions for the integrable standard map. (English) Zbl 1448.37077 Phys. Lett., A 384, No. 26, Article ID 126659, 3 p. (2020). MSC: 37J70 70H08 PDF BibTeX XML Cite \textit{A. Bountis} et al., Phys. Lett., A 384, No. 26, Article ID 126659, 3 p. (2020; Zbl 1448.37077) Full Text: DOI arXiv OpenURL
Ovenhouse, Nicholas Non-commutative integrability of the Grassmann pentagram map. (English) Zbl 07243317 Adv. Math. 373, Article ID 107309, 56 p. (2020). MSC: 37J70 39A36 13F60 53D17 17B63 17B80 PDF BibTeX XML Cite \textit{N. Ovenhouse}, Adv. Math. 373, Article ID 107309, 56 p. (2020; Zbl 07243317) Full Text: DOI arXiv OpenURL
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI arXiv OpenURL
Viviani, Milo A minimal-variable symplectic method for isospectral flows. (English) Zbl 1448.37107 BIT 60, No. 3, 741-758 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 37J35 37J70 65P10 53D20 70H06 PDF BibTeX XML Cite \textit{M. Viviani}, BIT 60, No. 3, 741--758 (2020; Zbl 1448.37107) Full Text: DOI arXiv OpenURL
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. (English) Zbl 1476.39021 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A36 37J65 37J70 39A12 33E05 PDF BibTeX XML Cite \textit{M. Noumi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020; Zbl 1476.39021) Full Text: DOI arXiv OpenURL
Grammaticos, B.; Ramani, A.; Willox, R.; Satsuma, J. Discrete Painlevé equations from singularity patterns: the asymmetric trihomographic case. (English) Zbl 1441.39013 J. Math. Phys. 61, No. 3, 033503, 20 p. (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 37J70 39A12 PDF BibTeX XML Cite \textit{B. Grammaticos} et al., J. Math. Phys. 61, No. 3, 033503, 20 p. (2020; Zbl 1441.39013) Full Text: DOI arXiv OpenURL
Bastien, Guy; Rogalski, Marc The periodic orbits of a dynamical system associated with a family of QRT-maps. (English) Zbl 1441.37071 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 57, 29 p. (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J39 37E10 37C25 37C55 14E05 14E07 PDF BibTeX XML Cite \textit{G. Bastien} and \textit{M. Rogalski}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 57, 29 p. (2020; Zbl 1441.37071) Full Text: DOI Link OpenURL
Hietarinta, J.; Mase, T.; Willox, R. Algebraic entropy computations for lattice equations: why initial value problems do matter. (English) Zbl 07638620 J. Phys. A, Math. Theor. 52, No. 49, Article ID 49LT01, 13 p. (2019). MSC: 39A36 37K60 37J70 PDF BibTeX XML Cite \textit{J. Hietarinta} et al., J. Phys. A, Math. Theor. 52, No. 49, Article ID 49LT01, 13 p. (2019; Zbl 07638620) Full Text: DOI arXiv OpenURL
Celledoni, E.; Evripidou, C.; McLaren, D. I.; Owren, B.; Quispel, G. R. W.; Tapley, B. K.; van der Kamp, P. H. Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. (English) Zbl 1505.37074 J. Phys. A, Math. Theor. 52, No. 31, Article ID 31LT01, 11 p. (2019). MSC: 37J70 37J35 37M15 37M21 39A36 14E05 PDF BibTeX XML Cite \textit{E. Celledoni} et al., J. Phys. A, Math. Theor. 52, No. 31, Article ID 31LT01, 11 p. (2019; Zbl 1505.37074) Full Text: DOI arXiv OpenURL
Mase, Takafumi; Willox, Ralph; Ramani, Alfred; Grammaticos, Basil Singularity confinement as an integrability criterion. (English) Zbl 07626960 J. Phys. A, Math. Theor. 52, No. 20, Article ID 205201, 29 p. (2019). MSC: 39A36 37J70 37K60 PDF BibTeX XML Cite \textit{T. Mase} et al., J. Phys. A, Math. Theor. 52, No. 20, Article ID 205201, 29 p. (2019; Zbl 07626960) Full Text: DOI arXiv OpenURL
Kassotakis, P.; Nieszporski, M.; Papageorgiou, V.; Tongas, A. Tetrahedron maps and symmetries of three dimensional integrable discrete equations. (English) Zbl 1439.37074 J. Math. Phys. 60, No. 12, 123503, 18 p. (2019). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K60 37J70 39A36 16T25 37C79 PDF BibTeX XML Cite \textit{P. Kassotakis} et al., J. Math. Phys. 60, No. 12, 123503, 18 p. (2019; Zbl 1439.37074) Full Text: DOI arXiv OpenURL
Joshi, Nalini; Kassotakis, Pavlos Re-factorising a QRT map. (English) Zbl 1434.37039 J. Comput. Dyn. 6, No. 2, 325-343 (2019). MSC: 37J70 37J11 14E05 37M15 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{P. Kassotakis}, J. Comput. Dyn. 6, No. 2, 325--343 (2019; Zbl 1434.37039) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Petrera} and \textit{Y. B. Suris}, J. Comput. Dyn. 6, No. 2, 401--408 (2019; Zbl 1457.37085) Full Text: DOI arXiv OpenURL
Guillot, Adolfo; Ramírez, Valente On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line. (English) Zbl 1434.37027 Comput. Methods Funct. Theory 19, No. 4, 687-716 (2019). MSC: 37F10 37J70 37C25 PDF BibTeX XML Cite \textit{A. Guillot} and \textit{V. Ramírez}, Comput. Methods Funct. Theory 19, No. 4, 687--716 (2019; Zbl 1434.37027) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Dragović, Vladimir Discriminantly separable polynomials: an overview. (English) Zbl 1461.37061 Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75-97 (2015). MSC: 37J38 37J70 37J35 37K60 37J37 PDF BibTeX XML Cite \textit{V. Dragović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75--97 (2015; Zbl 1461.37061) OpenURL
Radnović, Milena Integrable lattices of hyperplanes related to billiards within confocal quadrics. (English) Zbl 1461.37068 Publ. Inst. Math., Nouv. Sér. 98(112), 25-30 (2015). MSC: 37J70 37C83 14H70 37D05 51N25 PDF BibTeX XML Cite \textit{M. Radnović}, Publ. Inst. Math., Nouv. Sér. 98(112), 25--30 (2015; Zbl 1461.37068) Full Text: DOI arXiv EMIS OpenURL
Li, Fang; Lu, Liping Bargmann type systems for the generalization of Toda lattices. (English) Zbl 1449.37036 J. Appl. Math. 2014, Article ID 287529, 8 p. (2014). MSC: 37J35 37J11 37J70 PDF BibTeX XML Cite \textit{F. Li} and \textit{L. Lu}, J. Appl. Math. 2014, Article ID 287529, 8 p. (2014; Zbl 1449.37036) Full Text: DOI OpenURL