Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures. (English) Zbl 07685077 J. Geom. Anal. 33, No. 6, Paper No. 193, 52 p. (2023). MSC: 37K05 37K06 37K10 37K25 37K50 53B10 53A20 53B20 53B30 53B50 53B99 53D17 PDF BibTeX XML Cite \textit{A. V. Bolsinov} et al., J. Geom. Anal. 33, No. 6, Paper No. 193, 52 p. (2023; Zbl 07685077) Full Text: DOI arXiv OpenURL
Tang, Qian; Xu, Xiaomeng Stokes phenomenon and Poisson brackets in r-matrix form. (English) Zbl 07681060 J. Geom. Phys. 188, Article ID 104809, 9 p. (2023). MSC: 53D17 17B63 PDF BibTeX XML Cite \textit{Q. Tang} and \textit{X. Xu}, J. Geom. Phys. 188, Article ID 104809, 9 p. (2023; Zbl 07681060) Full Text: DOI OpenURL
Fairon, Maxime; McCulloch, Colin Around Van den Bergh’s double brackets for different bimodule structures. (English) Zbl 07664537 Commun. Algebra 51, No. 4, 1673-1706 (2023). MSC: 16S38 16W10 17B63 PDF BibTeX XML Cite \textit{M. Fairon} and \textit{C. McCulloch}, Commun. Algebra 51, No. 4, 1673--1706 (2023; Zbl 07664537) Full Text: DOI arXiv OpenURL
Lazarev, Andrey; Sheng, Yunhe; Tang, Rong Homotopy relative Rota-Baxter Lie algebras, triangular \(L_\infty \)-bialgebras and higher derived brackets. (English) Zbl 07662361 Trans. Am. Math. Soc. 376, No. 4, 2921-2945 (2023). MSC: 17B40 17B56 17B62 17B63 PDF BibTeX XML Cite \textit{A. Lazarev} et al., Trans. Am. Math. Soc. 376, No. 4, 2921--2945 (2023; Zbl 07662361) Full Text: DOI arXiv OpenURL
Kosmann-Schwarzbach, Yvette Seven concepts attributed to Siméon-Denis Poisson. (English) Zbl 1503.01012 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 092, 13 p. (2022). MSC: 01A55 01A70 31A30 35J05 60G55 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 092, 13 p. (2022; Zbl 1503.01012) Full Text: DOI arXiv OpenURL
Tikaradze, Akaki On the isomorphism problem for the rings of differential operators on smooth affine varieties. (English) Zbl 1503.14056 J. Algebra 612, 248-255 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 14R10 16S32 PDF BibTeX XML Cite \textit{A. Tikaradze}, J. Algebra 612, 248--255 (2022; Zbl 1503.14056) Full Text: DOI arXiv OpenURL
Prykarpatskyy, Yarema; Vovk, Myroslava; Pukach, Petro Operator-valued Camassa-Holm systems and their integrability. (English) Zbl 1495.35011 Lett. Math. Phys. 112, No. 4, Paper No. 73, 10 p. (2022). MSC: 35A30 35G25 35N10 37K35 58J70 58J72 34A34 PDF BibTeX XML Cite \textit{Y. Prykarpatskyy} et al., Lett. Math. Phys. 112, No. 4, Paper No. 73, 10 p. (2022; Zbl 1495.35011) Full Text: DOI OpenURL
Casati, Matteo; Wang, Jing Ping Hamiltonian structures for integrable nonabelian difference equations. (English) Zbl 1501.37069 Commun. Math. Phys. 392, No. 1, 219-278 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37K30 53D17 17B80 PDF BibTeX XML Cite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 392, No. 1, 219--278 (2022; Zbl 1501.37069) Full Text: DOI arXiv OpenURL
Gekhtman, Misha; Shapiro, Michael; Vainshtein, Alek Periodic staircase matrices and generalized cluster structures. (English) Zbl 07504292 Int. Math. Res. Not. 2022, No. 6, 4181-4221 (2022). MSC: 16S99 13F60 16W10 PDF BibTeX XML Cite \textit{M. Gekhtman} et al., Int. Math. Res. Not. 2022, No. 6, 4181--4221 (2022; Zbl 07504292) Full Text: DOI arXiv OpenURL
Fedele, Laura; Hernandez, David Toroidal Grothendieck rings and cluster algebras. (English) Zbl 1507.16037 Math. Z. 300, No. 1, 377-420 (2022). Reviewer: Ramón González Rodríguez (Vigo) MSC: 16T20 13F60 16G20 17B37 18M05 PDF BibTeX XML Cite \textit{L. Fedele} and \textit{D. Hernandez}, Math. Z. 300, No. 1, 377--420 (2022; Zbl 1507.16037) Full Text: DOI arXiv OpenURL
Roubtsov, Vladimir; Dutykh, Denys Poisson and symplectic structures, Hamiltonian action, momentum and reduction. (English) Zbl 1507.53001 Ulan, Maria (ed.) et al., Differential geometry, differential equations, and mathematical physics. Proceedings of the Wisła 19 summer school, Wisła, Poland, August 19–29, 2019. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 1-29 (2021). MSC: 53-01 53Dxx 37J39 37J06 PDF BibTeX XML Cite \textit{V. Roubtsov} and \textit{D. Dutykh}, in: Differential geometry, differential equations, and mathematical physics. Proceedings of the Wisła 19 summer school, Wisła, Poland, August 19--29, 2019. Cham: Birkhäuser. 1--29 (2021; Zbl 1507.53001) Full Text: DOI arXiv OpenURL
Stasheff, Jim Brackets by any other name. (English) Zbl 1494.16001 J. Geom. Mech. 13, No. 3, 501-516 (2021). MSC: 16-03 16E40 17B70 53D17 55Q15 55S30 18N40 PDF BibTeX XML Cite \textit{J. Stasheff}, J. Geom. Mech. 13, No. 3, 501--516 (2021; Zbl 1494.16001) Full Text: DOI arXiv OpenURL
Bruce, Andrew James; Grabowski, Janusz Symplectic \(\mathbb{Z}_2^n\)-manifolds. (English) Zbl 1492.53092 J. Geom. Mech. 13, No. 3, 285-311 (2021). Reviewer: G. Pacelli Bessa (Fortaleza) MSC: 53D05 53D15 58A50 14A22 17B63 17B75 PDF BibTeX XML Cite \textit{A. J. Bruce} and \textit{J. Grabowski}, J. Geom. Mech. 13, No. 3, 285--311 (2021; Zbl 1492.53092) Full Text: DOI arXiv OpenURL
Bruce, Andrew James Homological sections of Lie algebroids. (English) Zbl 1481.53104 Differ. Geom. Appl. 79, Article ID 101826, 21 p. (2021). MSC: 53D17 58A50 16E45 17A32 17B70 PDF BibTeX XML Cite \textit{A. J. Bruce}, Differ. Geom. Appl. 79, Article ID 101826, 21 p. (2021; Zbl 1481.53104) Full Text: DOI arXiv OpenURL
Soloviev, V. O. Constraint algebra in tetrad bigravity. (English) Zbl 1479.83207 Classical Quantum Gravity 38, No. 2, Article ID 025007, 24 p. (2021). MSC: 83D05 70H40 70H45 PDF BibTeX XML Cite \textit{V. O. Soloviev}, Classical Quantum Gravity 38, No. 2, Article ID 025007, 24 p. (2021; Zbl 1479.83207) Full Text: DOI arXiv OpenURL
Chen, Qingshan; Ju, Lili; Temam, Roger Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. (English) Zbl 1477.35273 Numer. Math. 149, No. 1, 43-85 (2021). MSC: 35Q86 35Q35 76B47 76U60 76U65 86A05 65M08 65P10 86-08 PDF BibTeX XML Cite \textit{Q. Chen} et al., Numer. Math. 149, No. 1, 43--85 (2021; Zbl 1477.35273) Full Text: DOI arXiv OpenURL
Grützmann, Melchior; Michel, Jean-Philippe; Xu, Ping Weyl quantization of degree 2 symplectic graded manifolds. (English. French summary) Zbl 1481.53105 J. Math. Pures Appl. (9) 154, 67-107 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 53D17 53D18 53D55 81S10 16W70 15A66 17B63 53B05 PDF BibTeX XML Cite \textit{M. Grützmann} et al., J. Math. Pures Appl. (9) 154, 67--107 (2021; Zbl 1481.53105) Full Text: DOI arXiv OpenURL
Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S. Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. (English) Zbl 1475.37075 Nonlinearity 34, No. 8, 5136-5162 (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K06 37K10 53D17 PDF BibTeX XML Cite \textit{A. V. Bolsinov} et al., Nonlinearity 34, No. 8, 5136--5162 (2021; Zbl 1475.37075) Full Text: DOI arXiv Link OpenURL
Shemyakova, Ekaterina On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms. (English) Zbl 1479.53085 Lett. Math. Phys. 111, No. 2, Paper No. 41, 30 p. (2021); addendum ibid. 111, No. 4, Paper No. 89, 2 p. (2021). Reviewer: Marco Zambon (Leuven) MSC: 53D17 58C50 16S32 53Z05 PDF BibTeX XML Cite \textit{E. Shemyakova}, Lett. Math. Phys. 111, No. 2, Paper No. 41, 30 p. (2021; Zbl 1479.53085) Full Text: DOI arXiv OpenURL
Balseiro, Paula; Yapu, Luis P. Conserved quantities and Hamiltonization of nonholonomic systems. (English) Zbl 1485.70012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 1, 23-60 (2021). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70F25 70H05 70G45 PDF BibTeX XML Cite \textit{P. Balseiro} and \textit{L. P. Yapu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 1, 23--60 (2021; Zbl 1485.70012) Full Text: DOI arXiv OpenURL
Iyudu, Natalia; Kontsevich, Maxim; Vlassopoulos, Yannis Pre-Calabi-Yau algebras as noncommutative Poisson structures. (English) Zbl 1473.16023 J. Algebra 567, 63-90 (2021). Reviewer: Jason Gaddis (Oxford) MSC: 16S37 16Y99 16G99 16W10 17B63 PDF BibTeX XML Cite \textit{N. Iyudu} et al., J. Algebra 567, 63--90 (2021; Zbl 1473.16023) Full Text: DOI arXiv OpenURL
Chalykh, Oleg; Fairon, Maxime On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system. (English) Zbl 1468.70010 Lett. Math. Phys. 110, No. 11, 2893-2940 (2020). MSC: 70H06 53D20 16G20 PDF BibTeX XML Cite \textit{O. Chalykh} and \textit{M. Fairon}, Lett. Math. Phys. 110, No. 11, 2893--2940 (2020; Zbl 1468.70010) Full Text: DOI arXiv OpenURL
Ontani, Riccardo Some remarks on the operator formalism for nonlocal Poisson brackets. (English) Zbl 1454.53065 J. Math. Phys. 61, No. 9, 093506, 16 p. (2020). MSC: 53D17 PDF BibTeX XML Cite \textit{R. Ontani}, J. Math. Phys. 61, No. 9, 093506, 16 p. (2020; Zbl 1454.53065) Full Text: DOI arXiv OpenURL
Żochowski, Jan Dirac-Bergmann procedure having regard to interaction for light-front Yukawa model. (English) Zbl 1451.81318 Rep. Math. Phys. 86, No. 1, 79-96 (2020). MSC: 81T10 70H45 35A18 81V80 15A24 81V74 81T70 PDF BibTeX XML Cite \textit{J. Żochowski}, Rep. Math. Phys. 86, No. 1, 79--96 (2020; Zbl 1451.81318) Full Text: DOI arXiv OpenURL
Zambrano, B. A. Poisson brackets on some skew PBW extensions. (English) Zbl 1455.16022 Algebra Discrete Math. 29, No. 2, 277-302 (2020). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S10 PDF BibTeX XML Cite \textit{B. A. Zambrano}, Algebra Discrete Math. 29, No. 2, 277--302 (2020; Zbl 1455.16022) Full Text: Link OpenURL
Chuño, Eber A non-local Poisson bracket for Coxeter-Toda lattices. (English) Zbl 1452.37062 Colloq. Math. 161, No. 1, 67-88 (2020). Reviewer: Ion Mihai (Bucureşti) MSC: 37J37 37J35 37J06 53D17 17B80 37K35 PDF BibTeX XML Cite \textit{E. Chuño}, Colloq. Math. 161, No. 1, 67--88 (2020; Zbl 1452.37062) Full Text: DOI arXiv OpenURL
Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L. Covariant variational evolution and Jacobi brackets: fields. (English) Zbl 1443.70059 Mod. Phys. Lett. A 35, No. 23, Article ID 2050206, 16 p. (2020). MSC: 70S05 70G45 53Z05 53D17 53D10 70H40 PDF BibTeX XML Cite \textit{F. M. Ciaglia} et al., Mod. Phys. Lett. A 35, No. 23, Article ID 2050206, 16 p. (2020; Zbl 1443.70059) Full Text: DOI arXiv OpenURL
Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G.; Schiavone, L. Covariant variational evolution and Jacobi brackets: particles. (English) Zbl 1443.70043 Mod. Phys. Lett. A 35, No. 23, Article ID 2020001, 17 p. (2020). MSC: 70H05 70G45 53Z05 53D10 53D17 PDF BibTeX XML Cite \textit{F. M. Ciaglia} et al., Mod. Phys. Lett. A 35, No. 23, Article ID 2020001, 17 p. (2020; Zbl 1443.70043) Full Text: DOI arXiv OpenURL
Banks, Peter; Panzer, Erik; Pym, Brent Multiple zeta values in deformation quantization. (English) Zbl 1454.11161 Invent. Math. 222, No. 1, 79-159 (2020); correction ibid. 229, No. 1, 449 (2022). Reviewer: István Mező (Nanjing) MSC: 11M32 14H10 53D55 81Q30 PDF BibTeX XML Cite \textit{P. Banks} et al., Invent. Math. 222, No. 1, 79--159 (2020; Zbl 1454.11161) Full Text: DOI arXiv OpenURL
Turaev, Vladimir Quasi-Poisson structures on moduli spaces of quasi-surfaces. (English) Zbl 1495.17034 J. Geom. Phys. 155, Article ID 103743, 9 p. (2020). MSC: 17B63 53D17 57K20 PDF BibTeX XML Cite \textit{V. Turaev}, J. Geom. Phys. 155, Article ID 103743, 9 p. (2020; Zbl 1495.17034) Full Text: DOI arXiv OpenURL
Shashikanth, Banavara N. Poisson brackets for the dynamically coupled system of a free boundary and a neutrally buoyant rigid body in a body-fixed frame. (English) Zbl 1442.37078 J. Geom. Mech. 12, No. 1, 25-52 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37J06 74F10 76B07 53D17 35Q35 PDF BibTeX XML Cite \textit{B. N. Shashikanth}, J. Geom. Mech. 12, No. 1, 25--52 (2020; Zbl 1442.37078) Full Text: DOI arXiv OpenURL
Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. Non-associative structures of commutative algebras related with quadratic Poisson brackets. (English) Zbl 1457.16019 Eur. J. Math. 6, No. 1, 208-231 (2020). Reviewer: Wen-Fong Ke (Tainan) MSC: 16N60 13N15 13P25 16W10 35A30 35G25 58J70 PDF BibTeX XML Cite \textit{O. D. Artemovych} et al., Eur. J. Math. 6, No. 1, 208--231 (2020; Zbl 1457.16019) Full Text: DOI OpenURL
Cabrera, Alejandro; Mărcuţ, Ioan; Salazar, María Amelia On local integration of Lie brackets. (English) Zbl 1436.53058 J. Reine Angew. Math. 760, 267-293 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 22A22 58H05 17B99 PDF BibTeX XML Cite \textit{A. Cabrera} et al., J. Reine Angew. Math. 760, 267--293 (2020; Zbl 1436.53058) Full Text: DOI arXiv OpenURL
Gouin, Henri Introduction to mathematical methods of analytical mechanics. (English) Zbl 1461.70001 Amsterdam: Elsevier/ISTE Press (ISBN 978-1-78548-315-8/hbk; 978-0-12-822986-6/ebook). xvi, 304 p. (2020). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70-01 49-01 70Gxx 70Hxx 70Kxx PDF BibTeX XML Cite \textit{H. Gouin}, Introduction to mathematical methods of analytical mechanics. Amsterdam: Elsevier/ISTE Press (2020; Zbl 1461.70001) OpenURL
Sato, N. Beltrami operators and their application to constrained diffusion in Beltrami fields. (English) Zbl 07628387 J. Phys. A, Math. Theor. 52, No. 23, Article ID 235203, 22 p. (2019). MSC: 76N10 35Q31 PDF BibTeX XML Cite \textit{N. Sato}, J. Phys. A, Math. Theor. 52, No. 23, Article ID 235203, 22 p. (2019; Zbl 07628387) Full Text: DOI OpenURL
Borisov, Alexey V.; Tsiganov, Andrey V. On the Chaplygin sphere in a magnetic field. (English) Zbl 1435.37093 Regul. Chaotic Dyn. 24, No. 6, 739-754 (2019). MSC: 37J60 70F25 74F15 PDF BibTeX XML Cite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 24, No. 6, 739--754 (2019; Zbl 1435.37093) Full Text: DOI arXiv OpenURL
De Leo, Roberto; Maltsev, Andrei Y. Quasiperiodic dynamics and magnetoresistance in normal metals. (English) Zbl 1427.82052 Acta Appl. Math. 162, 47-61 (2019). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82D35 82B20 82D40 35Q55 PDF BibTeX XML Cite \textit{R. De Leo} and \textit{A. Y. Maltsev}, Acta Appl. Math. 162, 47--61 (2019; Zbl 1427.82052) Full Text: DOI OpenURL
Frassek, Rouven; Pestun, Vasily A family of \(\mathrm{GL}_r\) multiplicative Higgs bundles on rational base. (English) Zbl 1464.16029 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 031, 42 p. (2019). MSC: 16T25 17B38 53D30 81R12 PDF BibTeX XML Cite \textit{R. Frassek} and \textit{V. Pestun}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 031, 42 p. (2019; Zbl 1464.16029) Full Text: DOI arXiv OpenURL
Sokolov, Vladimir Elliptic Calogero-Moser Hamiltonians and compatible Poisson brackets. (English) Zbl 1423.37054 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 38-46 (2018). MSC: 37J35 70G65 70H06 PDF BibTeX XML Cite \textit{V. Sokolov}, Springer Proc. Math. Stat. 273, 38--46 (2018; Zbl 1423.37054) Full Text: DOI OpenURL
Prykarpatski, Anatolij K. Hamilton operators and related integrable differential algebraic Novikov-Leibniz type structures. (English) Zbl 1402.35018 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 – July 2, 2016. Cham: Birkhäuser (ISBN 978-3-319-63593-4/hbk; 978-3-319-63594-1/ebook). Trends in Mathematics, 93-100 (2018). MSC: 35A30 35G25 35N10 37K35 58J70 58J72 34A34 PDF BibTeX XML Cite \textit{A. K. Prykarpatski}, in: Geometric methods in physics XXXV. Workshop and summer school, Białowieża, Poland, June 26 -- July 2, 2016. Cham: Birkhäuser. 93--100 (2018; Zbl 1402.35018) Full Text: DOI OpenURL
Beltiţă, Daniel; Goliński, Tomasz; Tumpach, Alice-Barbara Queer Poisson brackets. (English) Zbl 1398.53086 J. Geom. Phys. 132, 358-362 (2018). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 58B99 46T05 47B10 PDF BibTeX XML Cite \textit{D. Beltiţă} et al., J. Geom. Phys. 132, 358--362 (2018; Zbl 1398.53086) Full Text: DOI arXiv OpenURL
Artemovych, Orest D.; Prykarpatski, Anatolij K.; Blackmore, Denis L. Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators. (English) Zbl 1433.17004 Topol. Algebra Appl. 6, 43-52 (2018). MSC: 17A36 17D99 17B40 PDF BibTeX XML Cite \textit{O. D. Artemovych} et al., Topol. Algebra Appl. 6, 43--52 (2018; Zbl 1433.17004) Full Text: DOI OpenURL
de Gosson, Maurice A.; Nicola, Fabio Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem. (English) Zbl 1391.35443 Bull. Sci. Math. 144, 64-81 (2018). Reviewer: Nenad Teofanov (Novi Sad) MSC: 35S05 46L65 47G20 PDF BibTeX XML Cite \textit{M. A. de Gosson} and \textit{F. Nicola}, Bull. Sci. Math. 144, 64--81 (2018; Zbl 1391.35443) Full Text: DOI arXiv OpenURL
Soloviev, M. A. Dirac’s magnetic monopole and the Kontsevich star product. (English) Zbl 1386.81146 J. Phys. A, Math. Theor. 51, No. 9, Article ID 095205, 20 p. (2018). MSC: 81V10 78A99 81S10 53D55 14D06 17B63 PDF BibTeX XML Cite \textit{M. A. Soloviev}, J. Phys. A, Math. Theor. 51, No. 9, Article ID 095205, 20 p. (2018; Zbl 1386.81146) Full Text: DOI arXiv OpenURL
Jovanović, Božidar Billiards on constant curvature spaces and generating functions for systems with constraints. (English) Zbl 1474.37066 Theor. Appl. Mech. (Belgrade) 44, No. 1, 103-114 (2017). MSC: 37J39 37J35 53D22 51M05 PDF BibTeX XML Cite \textit{B. Jovanović}, Theor. Appl. Mech. (Belgrade) 44, No. 1, 103--114 (2017; Zbl 1474.37066) Full Text: DOI OpenURL
Esen, Oğul; Choudhury, Anindya Ghose; Guha, Partha On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D. (English) Zbl 1474.37057 Theor. Appl. Mech. (Belgrade) 44, No. 1, 15-34 (2017). MSC: 37J06 37J35 70G45 PDF BibTeX XML Cite \textit{O. Esen} et al., Theor. Appl. Mech. (Belgrade) 44, No. 1, 15--34 (2017; Zbl 1474.37057) Full Text: DOI arXiv OpenURL
Artemovych, Orest D.; Blackmore, Denis; Prykarpatski, Anatolij K. Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. (English) Zbl 1420.35015 J. Nonlinear Math. Phys. 24, No. 1, 41-72 (2017). MSC: 35A30 35G25 35N10 37K35 58J70 58J72 17A32 17B80 17D99 PDF BibTeX XML Cite \textit{O. D. Artemovych} et al., J. Nonlinear Math. Phys. 24, No. 1, 41--72 (2017; Zbl 1420.35015) Full Text: DOI OpenURL
Mori, Izuru; Smith, S. Paul The classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relations. (English) Zbl 1396.16005 Math. Z. 287, No. 1-2, 215-241 (2017). MSC: 16E65 16S37 16S38 16S80 16W50 PDF BibTeX XML Cite \textit{I. Mori} and \textit{S. P. Smith}, Math. Z. 287, No. 1--2, 215--241 (2017; Zbl 1396.16005) Full Text: DOI arXiv OpenURL
Arthamonov, S. Modified double Poisson brackets. (English) Zbl 1394.16021 J. Algebra 492, 212-233 (2017). MSC: 16P10 17B63 53D17 PDF BibTeX XML Cite \textit{S. Arthamonov}, J. Algebra 492, 212--233 (2017; Zbl 1394.16021) Full Text: DOI arXiv OpenURL
Asorey, M.; Ciaglia, F. M.; Di Cosmo, F.; Ibort, A.; Marmo, G. Covariant Jacobi brackets for test particles. (English) Zbl 1400.81134 Mod. Phys. Lett. A 32, No. 23, Article ID 1750122, 15 p. (2017). MSC: 81T05 81R20 17B63 53D17 53C80 PDF BibTeX XML Cite \textit{M. Asorey} et al., Mod. Phys. Lett. A 32, No. 23, Article ID 1750122, 15 p. (2017; Zbl 1400.81134) Full Text: DOI arXiv OpenURL
Chalykh, Oleg; Fairon, Maxime Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models. (English) Zbl 1418.70026 J. Geom. Phys. 121, 413-437 (2017). MSC: 70H06 53D20 16G20 83C65 PDF BibTeX XML Cite \textit{O. Chalykh} and \textit{M. Fairon}, J. Geom. Phys. 121, 413--437 (2017; Zbl 1418.70026) Full Text: DOI arXiv Link OpenURL
Bolsinov, A. V.; Izosimov, A. M.; Tsonev, D. M. Finite-dimensional integrable systems: a collection of research problems. (English) Zbl 1381.37068 J. Geom. Phys. 115, 2-15 (2017). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 37J35 37J05 37J15 53D17 PDF BibTeX XML Cite \textit{A. V. Bolsinov} et al., J. Geom. Phys. 115, 2--15 (2017; Zbl 1381.37068) Full Text: DOI Link OpenURL
Paston, S. A.; Semenova, E. N.; Franke, V. A.; Sheykin, A. A. Algebra of implicitly defined constraints for gravity as the general form of embedding theory. (English) Zbl 1369.83012 Gravit. Cosmol. 23, No. 1, 1-7 (2017). MSC: 83C05 53Z05 83C27 17B45 PDF BibTeX XML Cite \textit{S. A. Paston} et al., Gravit. Cosmol. 23, No. 1, 1--7 (2017; Zbl 1369.83012) Full Text: DOI arXiv OpenURL
Asorey, M.; Ciaglia, M.; Di Cosmo, F.; Ibort, A. Covariant brackets for particles and fields. (English) Zbl 1369.81055 Mod. Phys. Lett. A 32, No. 19, Article ID 1750100, 16 p. (2017). MSC: 81T05 81R20 17B63 53D17 53C80 PDF BibTeX XML Cite \textit{M. Asorey} et al., Mod. Phys. Lett. A 32, No. 19, Article ID 1750100, 16 p. (2017; Zbl 1369.81055) Full Text: DOI arXiv OpenURL
Tsiganov, A. V. New bi-Hamiltonian systems on the plane. (English) Zbl 1456.37059 J. Math. Phys. 58, No. 6, 062901, 14 p. (2017). MSC: 37J35 70H06 70H20 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, J. Math. Phys. 58, No. 6, 062901, 14 p. (2017; Zbl 1456.37059) Full Text: DOI arXiv OpenURL
Kaygorodov, Ivan Algebras of Jordan brackets and generalized Poisson algebras. (English) Zbl 1418.17071 Linear Multilinear Algebra 65, No. 6, 1142-1157 (2017). MSC: 17C70 17B01 17B63 PDF BibTeX XML Cite \textit{I. Kaygorodov}, Linear Multilinear Algebra 65, No. 6, 1142--1157 (2017; Zbl 1418.17071) Full Text: DOI arXiv OpenURL
Carlet, Guido; Casati, Matteo; Shadrin, Sergey Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets. (English) Zbl 1358.53087 J. Geom. Phys. 114, 404-419 (2017). MSC: 53D17 PDF BibTeX XML Cite \textit{G. Carlet} et al., J. Geom. Phys. 114, 404--419 (2017; Zbl 1358.53087) Full Text: DOI arXiv OpenURL
Morrison, P. J.; Vanneste, J. Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas. (English) Zbl 1377.37088 Ann. Phys. 368, 117-147 (2016). MSC: 37J40 37K05 76X05 76W05 70G45 PDF BibTeX XML Cite \textit{P. J. Morrison} and \textit{J. Vanneste}, Ann. Phys. 368, 117--147 (2016; Zbl 1377.37088) Full Text: DOI arXiv OpenURL
Ioannidou, Theodora; Niemi, Antti J. Poisson hierarchy of discrete strings. (English) Zbl 1349.81110 Phys. Lett., A 380, No. 3, 333-336 (2016). MSC: 81R10 37K10 PDF BibTeX XML Cite \textit{T. Ioannidou} and \textit{A. J. Niemi}, Phys. Lett., A 380, No. 3, 333--336 (2016; Zbl 1349.81110) Full Text: DOI arXiv OpenURL
Viscondi, Thiago F.; Caldas, Iberê L.; Morrison, Philip J. A method for Hamiltonian truncation: a four-wave example. (English) Zbl 1342.76022 J. Phys. A, Math. Theor. 49, No. 16, Article ID 165501, 24 p. (2016). MSC: 76B47 35Q05 70S05 PDF BibTeX XML Cite \textit{T. F. Viscondi} et al., J. Phys. A, Math. Theor. 49, No. 16, Article ID 165501, 24 p. (2016; Zbl 1342.76022) Full Text: DOI arXiv OpenURL
Borchsenius, Kaare Matrix mechanics of the relativistic point particle and string in Clifford space. (English) Zbl 1339.83054 Adv. Appl. Clifford Algebr. 26, No. 1, 53-69 (2016). MSC: 83C60 83C10 83C05 83A05 83C47 83E30 35L05 35Q75 15A66 70H20 83D05 15B57 PDF BibTeX XML Cite \textit{K. Borchsenius}, Adv. Appl. Clifford Algebr. 26, No. 1, 53--69 (2016; Zbl 1339.83054) Full Text: DOI arXiv OpenURL
Esposito, Giampiero A parametrix for quantum gravity? (English) Zbl 1339.83032 Int. J. Geom. Methods Mod. Phys. 13, No. 5, Article ID 1650060, 27 p. (2016). MSC: 83C45 83C05 81T20 35Q75 PDF BibTeX XML Cite \textit{G. Esposito}, Int. J. Geom. Methods Mod. Phys. 13, No. 5, Article ID 1650060, 27 p. (2016; Zbl 1339.83032) Full Text: DOI arXiv OpenURL
Cardona, A. Contact structures as Dirac structures and their associated Poisson algebras. (English) Zbl 1338.53110 Lobachevskii J. Math. 37, No. 1, 50-59 (2016). MSC: 53D17 53D25 PDF BibTeX XML Cite \textit{A. Cardona}, Lobachevskii J. Math. 37, No. 1, 50--59 (2016; Zbl 1338.53110) Full Text: DOI OpenURL
Chandre, C. Incomplete Dirac reduction of constrained Hamiltonian systems. (English) Zbl 1360.70029 Ann. Phys. 361, 1-13 (2015). MSC: 70H45 37J15 37K99 PDF BibTeX XML Cite \textit{C. Chandre}, Ann. Phys. 361, 1--13 (2015; Zbl 1360.70029) Full Text: DOI arXiv OpenURL
Zub, S. S.; Zub, S. I. The relationship of the canonical Poisson and Lie-Poisson structures for the Hamiltonian formalism in the quaternion variables. (Ukrainian. English summary) Zbl 1363.53074 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2015, No. 4, 131-138 (2015). MSC: 53D17 37F99 PDF BibTeX XML Cite \textit{S. S. Zub} and \textit{S. I. Zub}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2015, No. 4, 131--138 (2015; Zbl 1363.53074) OpenURL
Bandiera, Ruggero; Manetti, Marco On coisotropic deformations of holomorphic submanifolds. (English) Zbl 1351.53099 J. Math. Sci., Tokyo 22, No. 1, 1-37 (2015). MSC: 53D17 17B55 32G07 PDF BibTeX XML Cite \textit{R. Bandiera} and \textit{M. Manetti}, J. Math. Sci., Tokyo 22, No. 1, 1--37 (2015; Zbl 1351.53099) Full Text: arXiv Link OpenURL
Balseiro, Paula; Fernandez, Oscar E. Reduction of nonholonomic systems in two stages and Hamiltonization. (English) Zbl 1339.37047 Nonlinearity 28, No. 8, 2873-2912 (2015). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J60 70F25 70H06 53D17 37J15 53D20 PDF BibTeX XML Cite \textit{P. Balseiro} and \textit{O. E. Fernandez}, Nonlinearity 28, No. 8, 2873--2912 (2015; Zbl 1339.37047) Full Text: DOI arXiv OpenURL
Deser, Andreas; Stasheff, Jim Even symplectic supermanifolds and double field theory. (English) Zbl 1356.53076 Commun. Math. Phys. 339, No. 3, 1003-1020 (2015). MSC: 53C80 58A50 81T10 PDF BibTeX XML Cite \textit{A. Deser} and \textit{J. Stasheff}, Commun. Math. Phys. 339, No. 3, 1003--1020 (2015; Zbl 1356.53076) Full Text: DOI arXiv OpenURL
Petrera, Matteo Mathematical physics III. Integrable systems of classical mechanics. Lecture notes. (English) Zbl 1330.00029 Berlin: Logos Verlag (ISBN 978-3-8325-3950-4/pbk). 178 p. (2015). Reviewer: Guy Jumarie (Montréal) MSC: 00A79 70-01 70H06 37J05 81R05 81Q70 PDF BibTeX XML Cite \textit{M. Petrera}, Mathematical physics III. Integrable systems of classical mechanics. Lecture notes. Berlin: Logos Verlag (2015; Zbl 1330.00029) OpenURL
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Double Poisson vertex algebras and non-commutative Hamiltonian equations. (English) Zbl 1327.17023 Adv. Math. 281, 1025-1099 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B69 37K10 17B80 53D17 PDF BibTeX XML Cite \textit{A. De Sole} et al., Adv. Math. 281, 1025--1099 (2015; Zbl 1327.17023) Full Text: DOI arXiv OpenURL
Brezhnev, Yurii V. On a quantization of the classical \(\theta\)-functions. (English) Zbl 1318.14032 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 035, 11 p. (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 33E05 33E10 37N20 37J35 81S10 PDF BibTeX XML Cite \textit{Y. V. Brezhnev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 035, 11 p. (2015; Zbl 1318.14032) Full Text: DOI arXiv EMIS OpenURL
Babelon, O.; Douçot, B. Higher index focus-focus singularities in the Jaynes-Cummings-Gaudin model: symplectic invariants and monodromy. (English) Zbl 1314.53133 J. Geom. Phys. 87, 3-29 (2015). Reviewer: William J. Satzer jun. (St. Paul) MSC: 53D05 37J05 PDF BibTeX XML Cite \textit{O. Babelon} and \textit{B. Douçot}, J. Geom. Phys. 87, 3--29 (2015; Zbl 1314.53133) Full Text: DOI arXiv OpenURL
Entov, Michael Quasi-morphisms and quasi-states in symplectic topology. (English) Zbl 1373.53116 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 1147-1171 (2014). MSC: 53D35 53D40 53D45 17B99 20F69 46L30 PDF BibTeX XML Cite \textit{M. Entov}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 1147--1171 (2014; Zbl 1373.53116) Full Text: arXiv OpenURL
Zobnin, A. I. Anti-Frobenius algebras and associative Yang-Baxter equation. (Russian. English summary) Zbl 1324.16032 Mat. Model. 26, No. 11, 51-56 (2014). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 16T25 PDF BibTeX XML Cite \textit{A. I. Zobnin}, Mat. Model. 26, No. 11, 51--56 (2014; Zbl 1324.16032) Full Text: arXiv MNR OpenURL
Amrane, Yacine Aït; Nasri, Rafik; Zeglaoui, Ahmed Warped Poisson brackets on warped products. (English) Zbl 1310.53070 J. Geom. Mech. 6, No. 3, 279-296 (2014). MSC: 53D17 53C15 53B30 PDF BibTeX XML Cite \textit{Y. A. Amrane} et al., J. Geom. Mech. 6, No. 3, 279--296 (2014; Zbl 1310.53070) Full Text: DOI arXiv OpenURL
Arnlind, Joakim; Huisken, Gerhard Pseudo-Riemannian geometry in terms of multi-linear brackets. (English) Zbl 1308.53123 Lett. Math. Phys. 104, No. 12, 1507-1521 (2014). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 53B35 53B50 PDF BibTeX XML Cite \textit{J. Arnlind} and \textit{G. Huisken}, Lett. Math. Phys. 104, No. 12, 1507--1521 (2014; Zbl 1308.53123) Full Text: DOI arXiv OpenURL
Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir Parameter-dependent associative Yang-Baxter equations and Poisson brackets. (English) Zbl 1314.16024 Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460036, 18 p. (2014). Reviewer: V. Gorbatsevich (Moskva) MSC: 16T25 17B63 PDF BibTeX XML Cite \textit{A. Odesskii} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460036, 18 p. (2014; Zbl 1314.16024) Full Text: DOI arXiv OpenURL
Anderson, Edward Beables/observables in classical and quantum gravity. (English) Zbl 1301.83001 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014). MSC: 83-02 83C05 83C45 83D05 70H45 81S05 83E50 81P15 81T30 PDF BibTeX XML Cite \textit{E. Anderson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014; Zbl 1301.83001) Full Text: DOI arXiv EMIS OpenURL
Dumas, François; Royer, Emmanuel Poisson structures and star products on quasimodular forms. (English) Zbl 1362.17041 Algebra Number Theory 8, No. 5, 1127-1149 (2014). MSC: 17B63 11F25 11F11 16W25 PDF BibTeX XML Cite \textit{F. Dumas} and \textit{E. Royer}, Algebra Number Theory 8, No. 5, 1127--1149 (2014; Zbl 1362.17041) Full Text: DOI arXiv OpenURL
Turaev, Vladimir Poisson-Gerstenhaber brackets in representation algebras. (English) Zbl 1308.17027 J. Algebra 402, 435-478 (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 16W99 PDF BibTeX XML Cite \textit{V. Turaev}, J. Algebra 402, 435--478 (2014; Zbl 1308.17027) Full Text: DOI arXiv OpenURL
Tassi, E. Hamiltonian closures for two-moment fluid models derived from drift-kinetic equations. (English) Zbl 1302.76228 J. Phys. A, Math. Theor. 47, No. 19, Article ID 195501, 25 p. (2014). MSC: 76X05 37N10 35Q35 PDF BibTeX XML Cite \textit{E. Tassi}, J. Phys. A, Math. Theor. 47, No. 19, Article ID 195501, 25 p. (2014; Zbl 1302.76228) Full Text: DOI arXiv OpenURL
Singh, Jyoti; Kumar, Shiv Datt On the involutivity of the characteristic variety. (English) Zbl 1308.16034 Commun. Algebra 42, No. 8, 3607-3618 (2014). MSC: 16W70 32C38 PDF BibTeX XML Cite \textit{J. Singh} and \textit{S. D. Kumar}, Commun. Algebra 42, No. 8, 3607--3618 (2014; Zbl 1308.16034) Full Text: DOI OpenURL
Hone, A. N. W.; van der Kamp, P. H.; Quispel, G. R. W.; Tran, D. T. Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations. (English) Zbl 1354.37066 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2154, Article ID 20120747, 23 p. (2013). MSC: 37K10 37K05 37K60 37J10 37J35 39A14 PDF BibTeX XML Cite \textit{A. N. W. Hone} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 469, No. 2154, Article ID 20120747, 23 p. (2013; Zbl 1354.37066) Full Text: DOI arXiv OpenURL
Aggoun, Saad Invariant contact structures. (Structures de contact invariantes.) (French. English summary) Zbl 1324.37025 Serdica Math. J. 39, No. 2, 119-154 (2013). MSC: 37J55 53D10 53D17 53D35 PDF BibTeX XML Cite \textit{S. Aggoun}, Serdica Math. J. 39, No. 2, 119--154 (2013; Zbl 1324.37025) OpenURL
Braun, C.; Lazarev, A. Homotopy BV algebras in Poisson geometry. (English) Zbl 1306.53068 Trans. Mosc. Math. Soc. 2013, 217-227 (2013) and Tr. Mosk. Mat. O.-va 74, No. 2, 265-277 (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 16E45 PDF BibTeX XML Cite \textit{C. Braun} and \textit{A. Lazarev}, Trans. Mosc. Math. Soc. 2013, 217--227 (2013; Zbl 1306.53068) Full Text: DOI arXiv OpenURL
Damianou, Pantelis A.; Petalidou, Fani Poisson brackets with prescribed Casimirs. II. (English) Zbl 1296.53158 Vaneeva, O. O. (ed.) et al., Proceedings of the 6th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 17–21, 2012. Nicosia: University of Cyprus, Department of Mathematics and Statistics (ISBN 978-9963-700-63-9/pbk). 45-59 (2013). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D17 70G45 37C10 35B06 PDF BibTeX XML Cite \textit{P. A. Damianou} and \textit{F. Petalidou}, in: Proceedings of the 6th international workshop on group analysis of differential equations and integrable systems, Protaras, Cyprus, June 17--21, 2012. Nicosia: University of Cyprus, Department of Mathematics and Statistics. 45--59 (2013; Zbl 1296.53158) OpenURL
Kosmann-Schwarzbach, Yvette Poisson brackets, from celestial mechanics to quantum mechanics. (Les crochets de Poisson, de la mécanique céleste à la mécanique quantique.) (French. English summary) Zbl 1294.01018 Kosmann-Schwarzbach, Yvette (ed.), Siméon-Denis Poisson. Les mathématiques au service de la science. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1584-8/pbk). Histoire des Mathématiques et des Sciences Physiques, 369-401 (2013). Reviewer: Davide Bondoni (Anfo) MSC: 01A55 01A60 70-03 70F15 81-03 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach}, in: Siméon-Denis Poisson. Les mathématiques au service de la science. Palaiseau: Les Éditions de l'École Polytechnique. 369--401 (2013; Zbl 1294.01018) OpenURL
Kosmann-Schwarzbach, Yvette Poisson geometry, a creation of the 20th century. (La géométrie de Poisson, création du XX\(^{\text e}\) siècle.) (French. English summary) Zbl 1294.01017 Kosmann-Schwarzbach, Yvette (ed.), Siméon-Denis Poisson. Les mathématiques au service de la science. Palaiseau: Les Éditions de l’École Polytechnique (ISBN 978-2-7302-1584-8/pbk). Histoire des Mathématiques et des Sciences Physiques, 129-172 (2013). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 01A55 01A60 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach}, in: Siméon-Denis Poisson. Les mathématiques au service de la science. Palaiseau: Les Éditions de l'École Polytechnique. 129--172 (2013; Zbl 1294.01017) OpenURL
Sokolov, V. V. Classification of constant solutions of the associative Yang-Baxter equation on \(\mathrm{Mat}_3\). (English. Russian original) Zbl 1291.16028 Theor. Math. Phys. 176, No. 3, 1156-1162 (2013); translation from Teor. Mat. Fiz. 176, No. 3, 385-392 (2013). MSC: 16T25 81R50 17B80 PDF BibTeX XML Cite \textit{V. V. Sokolov}, Theor. Math. Phys. 176, No. 3, 1156--1162 (2013; Zbl 1291.16028); translation from Teor. Mat. Fiz. 176, No. 3, 385--392 (2013) Full Text: DOI arXiv OpenURL
Nie, Xin The quasi-Poisson Goldman formula. (English) Zbl 1282.53072 J. Geom. Phys. 74, 1-17 (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D18 53D05 PDF BibTeX XML Cite \textit{X. Nie}, J. Geom. Phys. 74, 1--17 (2013; Zbl 1282.53072) Full Text: DOI arXiv OpenURL
Grabowski, Janusz Graded contact manifolds and contact Courant algebroids. (English) Zbl 1280.53070 J. Geom. Phys. 68, 27-58 (2013). MSC: 53D10 58A50 53D05 53D17 53D35 58C50 17B62 17B63 PDF BibTeX XML Cite \textit{J. Grabowski}, J. Geom. Phys. 68, 27--58 (2013; Zbl 1280.53070) Full Text: DOI arXiv OpenURL
Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians. (English. Russian original) Zbl 1294.37022 Dokl. Math. 87, No. 3, 259-263 (2013); translation from Dokl. Akad. Nauk. 450, No. 1, 7-12 (2013). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37H99 37J99 17B66 PDF BibTeX XML Cite \textit{M. I. Zelikin} et al., Dokl. Math. 87, No. 3, 259--263 (2013; Zbl 1294.37022); translation from Dokl. Akad. Nauk. 450, No. 1, 7--12 (2013) Full Text: DOI OpenURL
Tsiganov, A. V. On generalized nonholonomic Chaplygin sphere problem. (English) Zbl 1272.53075 Int. J. Geom. Methods Mod. Phys. 10, No. 6, Article ID 1320008, 8 p. (2013). MSC: 53D17 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Int. J. Geom. Methods Mod. Phys. 10, No. 6, Article ID 1320008, 8 p. (2013; Zbl 1272.53075) Full Text: DOI arXiv OpenURL
Tsiganov, Andrey V. On a trivial family of noncommutative integrable systems. (English) Zbl 1279.37039 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 015, 13 p. (2013). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J35 53D17 70H06 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 015, 13 p. (2013; Zbl 1279.37039) Full Text: DOI arXiv OpenURL
Pozhidaev, A. P.; Shestakov, I. P. Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. (English. Russian original) Zbl 1276.17017 Sib. Math. J. 54, No. 2, 301-316 (2013); translation from Sib. Mat. Zh. 54, No. 2, 389-406 (2013). Reviewer: Antonio Fernández López (Malaga) MSC: 17C70 17A15 PDF BibTeX XML Cite \textit{A. P. Pozhidaev} and \textit{I. P. Shestakov}, Sib. Math. J. 54, No. 2, 301--316 (2013; Zbl 1276.17017); translation from Sib. Mat. Zh. 54, No. 2, 389--406 (2013) Full Text: DOI OpenURL
Charalambides, Stelios A.; Damianou, Pantelis A. \(\mathfrak{so}(p,q)\) Toda systems. (English) Zbl 1337.37051 Physica D 248, 33-43 (2013). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{S. A. Charalambides} and \textit{P. A. Damianou}, Physica D 248, 33--43 (2013; Zbl 1337.37051) Full Text: DOI arXiv OpenURL
Blohmann, Christian; Barbosa Fernandes, Marco Cezar; Weinstein, Alan Groupoid symmetry and constraints in general relativity. (English) Zbl 1261.83006 Commun. Contemp. Math. 15, No. 1, Paper No. 1250061, 25 p. (2013). MSC: 83C05 58H05 83C40 PDF BibTeX XML Cite \textit{C. Blohmann} et al., Commun. Contemp. Math. 15, No. 1, Paper No. 1250061, 25 p. (2013; Zbl 1261.83006) Full Text: DOI arXiv OpenURL
Bracken, Paul Determination of the electromagnetic Lagrangian from a system of Poisson brackets. (English) Zbl 1295.78002 Pac. J. Appl. Math. 4, No. 2, 75-85 (2012). Reviewer: Vladimir Čadež (Beograd) MSC: 78A02 70H03 70S05 PDF BibTeX XML Cite \textit{P. Bracken}, Pac. J. Appl. Math. 4, No. 2, 75--85 (2012; Zbl 1295.78002) OpenURL
Al-Ashhab, Samer Canonical transformations and Hamiltonian evolutionary systems. (English) Zbl 1284.37049 J. Math. Phys. 53, No. 6, 063502, 9 p. (2012). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K05 37K10 37K20 14D21 37K25 37J10 70S05 70H15 PDF BibTeX XML Cite \textit{S. Al-Ashhab}, J. Math. Phys. 53, No. 6, 063502, 9 p. (2012; Zbl 1284.37049) Full Text: DOI arXiv OpenURL
Bouda, A.; Foughali, T. On the Fock transformation in nonlinear relativity. (English) Zbl 1274.83003 Mod. Phys. Lett. A 27, No. 6, Article ID 1250036, 10 p. (2012). MSC: 83A05 70G45 70H40 PDF BibTeX XML Cite \textit{A. Bouda} and \textit{T. Foughali}, Mod. Phys. Lett. A 27, No. 6, Article ID 1250036, 10 p. (2012; Zbl 1274.83003) Full Text: DOI arXiv OpenURL