Dobrogowska, Alina; Jakimowicz, Grzegorz A new look at Lie algebras. (English) Zbl 07733890 J. Geom. Phys. 192, Article ID 104959, 17 p. (2023). MSC: 17B99 53D17 PDF BibTeX XML Cite \textit{A. Dobrogowska} and \textit{G. Jakimowicz}, J. Geom. Phys. 192, Article ID 104959, 17 p. (2023; Zbl 07733890) Full Text: DOI arXiv
Snegirev, Timofei Hamiltonian formulation for perfect fluid equations with the \(\ell\)-conformal Galilei symmetry. (English) Zbl 07733880 J. Geom. Phys. 192, Article ID 104930, 7 p. (2023). MSC: 53D17 76A02 PDF BibTeX XML Cite \textit{T. Snegirev}, J. Geom. Phys. 192, Article ID 104930, 7 p. (2023; Zbl 07733880) Full Text: DOI arXiv
Berbel, Miguel Á.; Castrillón López, Marco Poisson-Poincaré reduction for field theories. (English) Zbl 07725252 J. Geom. Phys. 191, Article ID 104879, 23 p. (2023). MSC: 70S05 70S10 70G45 70G65 PDF BibTeX XML Cite \textit{M. Á. Berbel} and \textit{M. Castrillón López}, J. Geom. Phys. 191, Article ID 104879, 23 p. (2023; Zbl 07725252) Full Text: DOI arXiv
Bertola, M.; Korotkin, D. Extended Goldman symplectic structure in Fock-Goncharov coordinates. (English) Zbl 07724288 J. Differ. Geom. 124, No. 3, 397-442 (2023). MSC: 53D30 32G15 57M50 14D20 PDF BibTeX XML Cite \textit{M. Bertola} and \textit{D. Korotkin}, J. Differ. Geom. 124, No. 3, 397--442 (2023; Zbl 07724288) Full Text: DOI arXiv Link
Adachi, Hiroyuki; Ishiki, Goro; Kanno, Satoshi; Matsumoto, Takaki Matrix regularization for tensor fields. (English) Zbl 07655305 PTEP, Prog. Theor. Exper. Phys. 2023, No. 1, Article ID 013B06, 21 p. (2023). MSC: 81T32 47A52 37C05 81S05 47B35 15A69 PDF BibTeX XML Cite \textit{H. Adachi} et al., PTEP, Prog. Theor. Exper. Phys. 2023, No. 1, Article ID 013B06, 21 p. (2023; Zbl 07655305) Full Text: DOI arXiv
Sokolov, Igor V.; Sun, Haomin; Toth, Gabor; Huang, Zhenguang; Tenishev, Valeriy; Zhao, Lulu; Kota, Jozsef; Cohen, Ofer; Gombosi, Tamas I. High resolution finite volume method for kinetic equations with Poisson brackets. (English) Zbl 07652794 J. Comput. Phys. 476, Article ID 111923, 32 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{I. V. Sokolov} et al., J. Comput. Phys. 476, Article ID 111923, 32 p. (2023; Zbl 07652794) Full Text: DOI arXiv
Sharapov, Alexey; Skvortsov, Evgeny; Sukhanov, Arseny Deformation quantization of the simplest Poisson orbifold. (English) Zbl 1509.53096 J. Geom. Phys. 184, Article ID 104723, 13 p. (2023). Reviewer: Gabriele Rembado (Bonn) MSC: 53D55 53D17 PDF BibTeX XML Cite \textit{A. Sharapov} et al., J. Geom. Phys. 184, Article ID 104723, 13 p. (2023; Zbl 1509.53096) Full Text: DOI arXiv
Cifani, P.; Viviani, M.; Modin, K. An efficient geometric method for incompressible hydrodynamics on the sphere. (English) Zbl 07625431 J. Comput. Phys. 473, Article ID 111772, 10 p. (2023). MSC: 37Jxx 76Mxx 37Mxx PDF BibTeX XML Cite \textit{P. Cifani} et al., J. Comput. Phys. 473, Article ID 111772, 10 p. (2023; Zbl 07625431) Full Text: DOI arXiv
Grebenev, V. N.; Demenkov, A. G.; Chernykh, G. G. Local equilibrium approximation in the mathematical model of the far turbulent wake behind a body of revolution. (English. Russian original) Zbl 07730160 J. Appl. Mech. Tech. Phys. 63, No. 5, 825-832 (2022); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 5, 110-118 (2022). MSC: 76F10 76F20 76M20 PDF BibTeX XML Cite \textit{V. N. Grebenev} et al., J. Appl. Mech. Tech. Phys. 63, No. 5, 825--832 (2022; Zbl 07730160); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 5, 110--118 (2022) Full Text: DOI
Casati, M.; Lorenzoni, P.; Valeri, D.; Vitolo, R. Weakly nonlocal Poisson brackets: tools, examples, computations. (English) Zbl 07699260 Comput. Phys. Commun. 274, Article ID 108284, 18 p. (2022). MSC: 65-XX 35-XX 68-XX PDF BibTeX XML Cite \textit{M. Casati} et al., Comput. Phys. Commun. 274, Article ID 108284, 18 p. (2022; Zbl 07699260) Full Text: DOI arXiv
Machon, Thomas A Poisson bracket on the space of Poisson structures. (English) Zbl 07681988 J. Symplectic Geom. 20, No. 5, 1107-1134 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D30 PDF BibTeX XML Cite \textit{T. Machon}, J. Symplectic Geom. 20, No. 5, 1107--1134 (2022; Zbl 07681988) Full Text: DOI arXiv
Zusmanovich, Pasha On contact brackets on the tensor product. (English) Zbl 07674119 Linear Multilinear Algebra 70, No. 19, 4695-4706 (2022). MSC: 17B60 17B63 17B66 PDF BibTeX XML Cite \textit{P. Zusmanovich}, Linear Multilinear Algebra 70, No. 19, 4695--4706 (2022; Zbl 07674119) Full Text: DOI arXiv
Bi, Yanhui; Fan, Hongtao; Chen, Danlu Nonabelian omni-Lie algebroids. (English) Zbl 1512.17038 Front. Math. China 17, No. 6, 1037-1049 (2022); translation from Adv. Math., Beijing 51, No. 5, 879-890 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 53D17 PDF BibTeX XML Cite \textit{Y. Bi} et al., Front. Math. China 17, No. 6, 1037--1049 (2022; Zbl 1512.17038); translation from Adv. Math., Beijing 51, No. 5, 879--890 (2022) Full Text: DOI
Moukala, N. Mahoungou; Milounguidi, M. M.; Bossoto, B. G. R. Jacobi structures on a Lie-Rinehart algebra. (English) Zbl 1513.53142 JP J. Geom. Topol. 28, 55-79 (2022). MSC: 53D17 17B63 37J37 PDF BibTeX XML Cite \textit{N. M. Moukala} et al., JP J. Geom. Topol. 28, 55--79 (2022; Zbl 1513.53142) Full Text: DOI
Al-Maamari, Zainab; Dinar, Yassir Conjugate Frobenius manifold and inversion symmetry. (English) Zbl 1504.53096 Math. Phys. Anal. Geom. 25, No. 3, Paper No. 23, 19 p. (2022). MSC: 53D45 PDF BibTeX XML Cite \textit{Z. Al-Maamari} and \textit{Y. Dinar}, Math. Phys. Anal. Geom. 25, No. 3, Paper No. 23, 19 p. (2022; Zbl 1504.53096) Full Text: DOI arXiv
Hounkonnou, M. N.; Landalidji, M. J.; Mitrović, M. Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: recursion operators and underlying master symmetries. (English. Russian original) Zbl 1516.37066 Theor. Math. Phys. 212, No. 1, 1001-1018 (2022); translation from Teor. Mat. Fiz. 212, No. 1, 129-148 (2022). MSC: 37J39 37J06 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} et al., Theor. Math. Phys. 212, No. 1, 1001--1018 (2022; Zbl 1516.37066); translation from Teor. Mat. Fiz. 212, No. 1, 129--148 (2022) Full Text: DOI arXiv
León Sánchez, Omar; Moosa, Rahim Commutative bidifferential algebra. (English) Zbl 1502.13066 J. Algebra 609, 764-791 (2022). Reviewer: Andreas Maurischat (Aachen) MSC: 13N15 12H05 16W25 17B63 PDF BibTeX XML Cite \textit{O. León Sánchez} and \textit{R. Moosa}, J. Algebra 609, 764--791 (2022; Zbl 1502.13066) Full Text: DOI arXiv
Gu, Anjiao; He, Yang; Sun, Yajuan Hamiltonian particle-in-cell methods for Vlasov-Poisson equations. (English) Zbl 07568566 J. Comput. Phys. 467, Article ID 111472, 20 p. (2022). MSC: 35Qxx 65Mxx 82Cxx PDF BibTeX XML Cite \textit{A. Gu} et al., J. Comput. Phys. 467, Article ID 111472, 20 p. (2022; Zbl 07568566) Full Text: DOI arXiv
Fan, Yue The orbit type stratification of the moduli space of Higgs bundles. (English) Zbl 07566697 Math. Ann. 383, No. 3-4, 1033-1059 (2022). MSC: 14D20 81T13 53C07 PDF BibTeX XML Cite \textit{Y. Fan}, Math. Ann. 383, No. 3--4, 1033--1059 (2022; Zbl 07566697) Full Text: DOI arXiv
Polishchuk, Alexander Feigin-Odesskii brackets, syzygies, and Cremona transformations. (English) Zbl 1494.14015 J. Geom. Phys. 178, Article ID 104584, 9 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14E07 16E05 PDF BibTeX XML Cite \textit{A. Polishchuk}, J. Geom. Phys. 178, Article ID 104584, 9 p. (2022; Zbl 1494.14015) Full Text: DOI arXiv
Holik, Daria; Karaś, Marek Dependence between homogeneous components of polynomials with small degree of Poisson bracket. (English) Zbl 1497.13035 Ann. Pol. Math. 128, No. 2, 121-142 (2022). Reviewer: Prosenjit Das (Thiruvananthapuram) MSC: 13F20 14R10 16W20 PDF BibTeX XML Cite \textit{D. Holik} and \textit{M. Karaś}, Ann. Pol. Math. 128, No. 2, 121--142 (2022; Zbl 1497.13035) Full Text: DOI arXiv
Bagheri, Zahra; Peyghan, Esmaeil Riemannian geometry on Hom-\(\rho\)-commutative algebras. (English) Zbl 1511.53010 Chin. Ann. Math., Ser. B 43, No. 2, 175-194 (2022). MSC: 53A45 53B05 17B61 53D05 PDF BibTeX XML Cite \textit{Z. Bagheri} and \textit{E. Peyghan}, Chin. Ann. Math., Ser. B 43, No. 2, 175--194 (2022; Zbl 1511.53010) Full Text: DOI arXiv
Entov, Michael; Polterovich, Leonid Legendrian persistence modules and dynamics. (English) Zbl 1497.53131 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 30, 54 p. (2022). Reviewer: Johan Asplund (New York) MSC: 53D35 37J55 55N99 53D10 PDF BibTeX XML Cite \textit{M. Entov} and \textit{L. Polterovich}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 30, 54 p. (2022; Zbl 1497.53131) Full Text: DOI arXiv
Fairon, Maxime Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems. (Morphismes d’algèbres de (quasi-)Poisson doubles et dualité action-angle de systèmes intégrables.) (English. French summary) Zbl 1496.16045 Ann. Henri Lebesgue 5, 179-262 (2022). Reviewer: Geoffrey Powell (Angers) MSC: 16W99 16S38 17B63 70H06 PDF BibTeX XML Cite \textit{M. Fairon}, Ann. Henri Lebesgue 5, 179--262 (2022; Zbl 1496.16045) Full Text: DOI arXiv
Barron, Tatyana; Tomberg, Artour The twistor space of \(\mathbb{R}^{4n}\) and Berezin-Toeplitz operators. (English) Zbl 1498.53111 Complex Anal. Oper. Theory 16, No. 3, Paper No. 28, 27 p. (2022). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53C26 53C28 47B35 PDF BibTeX XML Cite \textit{T. Barron} and \textit{A. Tomberg}, Complex Anal. Oper. Theory 16, No. 3, Paper No. 28, 27 p. (2022; Zbl 1498.53111) Full Text: DOI arXiv
Bykov, D. O.; Grebenev, V. N.; Medvedev, S. B. Hamiltonian structure and conservation laws of three-dimensional linear elasticity theory. (English) Zbl 1504.35019 Luo, Albert C. J. (ed.) et al., Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939–2018). Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 99-123 (2021). MSC: 35B06 37K06 74B05 PDF BibTeX XML Cite \textit{D. O. Bykov} et al., in: Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939--2018). Beijing: Higher Education Press; Singapore: Springer. 99--123 (2021; Zbl 1504.35019) Full Text: DOI
Griffin, Christopher The replicator dynamics of zero-sum games arise from a novel Poisson algebra. (English) Zbl 1498.91052 Chaos Solitons Fractals 153, Part 2, Article ID 111508, 5 p. (2021). MSC: 91A22 70H05 PDF BibTeX XML Cite \textit{C. Griffin}, Chaos Solitons Fractals 153, Part 2, Article ID 111508, 5 p. (2021; Zbl 1498.91052) Full Text: DOI arXiv
Panyushev, Dmitri I.; Yakimova, Oksana S. Poisson-commutative subalgebras of \(\mathcal{S}(\mathfrak{g})\) associated with involutions. (English) Zbl 1512.17041 Int. Math. Res. Not. 2021, No. 23, 18367-18406 (2021). MSC: 17B63 17B08 17B22 22E46 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, Int. Math. Res. Not. 2021, No. 23, 18367--18406 (2021; Zbl 1512.17041) Full Text: DOI arXiv
Holik, Daria; Karaś, Marek A note on the solution set of the equation \([L_1^r,P_1]=[P_2,L_2^s]\) for given linear forms \(L_1,L_2\). (English) Zbl 1481.14096 Bull. Pol. Acad. Sci., Math. 69, No. 1, 11-20 (2021). MSC: 14R15 13N15 17B63 PDF BibTeX XML Cite \textit{D. Holik} and \textit{M. Karaś}, Bull. Pol. Acad. Sci., Math. 69, No. 1, 11--20 (2021; Zbl 1481.14096) Full Text: DOI
Wimmer, Golo A.; Cotter, Colin J.; Bauer, Werner Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction. (English) Zbl 1484.86005 SMAI J. Comput. Math. 7, 267-300 (2021). MSC: 86-08 65M60 86A10 PDF BibTeX XML Cite \textit{G. A. Wimmer} et al., SMAI J. Comput. Math. 7, 267--300 (2021; Zbl 1484.86005) Full Text: DOI arXiv
Horikoshi, Atsushi Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems. (English) Zbl 1487.37073 PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C106, 8 p. (2021). MSC: 37J06 37J39 PDF BibTeX XML Cite \textit{A. Horikoshi}, PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C106, 8 p. (2021; Zbl 1487.37073) Full Text: DOI arXiv
Głowacki, Jan Inevitability of the Poisson bracket structure of the relativistic constraints. (English) Zbl 1483.53041 Found. Phys. 51, No. 6, Paper No. 111, 14 p. (2021). MSC: 53B50 83C05 53B25 53B30 PDF BibTeX XML Cite \textit{J. Głowacki}, Found. Phys. 51, No. 6, Paper No. 111, 14 p. (2021; Zbl 1483.53041) Full Text: DOI
Jurdjevic, V. Kowalewski top and complex Lie algebras. (English) Zbl 1483.70037 Anal. Math. Phys. 11, No. 4, Paper No. 173, 38 p. (2021). MSC: 70G65 17B80 37J37 PDF BibTeX XML Cite \textit{V. Jurdjevic}, Anal. Math. Phys. 11, No. 4, Paper No. 173, 38 p. (2021; Zbl 1483.70037) Full Text: DOI
Kozlov, V. V. Linear system of differential equations with a quadratic invariant as the Schrödinger equation. (English. Russian original) Zbl 1482.37068 Dokl. Math. 103, No. 1, 39-43 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 48-52 (2021). MSC: 37K10 37K06 35G35 35Q51 35Q55 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Dokl. Math. 103, No. 1, 39--43 (2021; Zbl 1482.37068); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 48--52 (2021) Full Text: DOI
Borisov, A. V.; Tsiganov, A. V. Chaplygin ball in a solenoidal field. (English. Russian original) Zbl 1480.37073 Russ. Math. Surv. 76, No. 3, 546-548 (2021); translation from Usp. Mat. Nauk 76, No. 3, 185-186 (2021). MSC: 37J60 37J39 PDF BibTeX XML Cite \textit{A. V. Borisov} and \textit{A. V. Tsiganov}, Russ. Math. Surv. 76, No. 3, 546--548 (2021; Zbl 1480.37073); translation from Usp. Mat. Nauk 76, No. 3, 185--186 (2021) Full Text: DOI
Fairon, Maxime Double quasi-Poisson brackets: fusion and new examples. (English) Zbl 1480.16049 Algebr. Represent. Theory 24, No. 4, 911-958 (2021). Reviewer: Geoffrey Powell (Angers) MSC: 16S38 17B63 53D17 PDF BibTeX XML Cite \textit{M. Fairon}, Algebr. Represent. Theory 24, No. 4, 911--958 (2021; Zbl 1480.16049) Full Text: DOI arXiv
Song, Chuanjing; Agrawal, Om Prakash Hamiltonian formulation of systems described using fractional singular Lagrangian. (English) Zbl 1475.37060 Acta Appl. Math. 172, Paper No. 9, 16 p. (2021). MSC: 37J06 70H45 34A08 26A33 PDF BibTeX XML Cite \textit{C. Song} and \textit{O. P. Agrawal}, Acta Appl. Math. 172, Paper No. 9, 16 p. (2021; Zbl 1475.37060) Full Text: DOI
Choie, YoungJu; Dumas, François; Martin, François; Royer, Emmanuel Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets. (Déformations formelles de l’algèbre des formes de Jacobi et crochets de Rankin-Cohen.) (English. French summary) Zbl 1476.53107 C. R., Math., Acad. Sci. Paris 359, No. 4, 505-521 (2021). Reviewer: Zhuo Chen (Beijing) MSC: 53D55 17B63 11F25 11F11 16W25 PDF BibTeX XML Cite \textit{Y. Choie} et al., C. R., Math., Acad. Sci. Paris 359, No. 4, 505--521 (2021; Zbl 1476.53107) Full Text: DOI arXiv
Kiselev, Arthemy V.; Buring, Ricardo The Kontsevich graph orientation morphism revisited. (English) Zbl 1479.05137 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 123-139 (2021). MSC: 05C22 16E45 53D17 68R10 81R60 PDF BibTeX XML Cite \textit{A. V. Kiselev} and \textit{R. Buring}, Banach Cent. Publ. 123, 123--139 (2021; Zbl 1479.05137) Full Text: DOI arXiv
Kreutzer, Lars T. Canonical analysis of \(\mathbf{E}_{6(6)}(\mathbb{R})\) invariant five dimensional (super-)gravity. (English) Zbl 1472.83107 J. Math. Phys. 62, No. 3, Article ID 032302, 18 p. (2021). Reviewer: Dimitar A. Kolev (Sofia) MSC: 83E50 83C05 83E15 81T33 20G41 81R10 70H40 PDF BibTeX XML Cite \textit{L. T. Kreutzer}, J. Math. Phys. 62, No. 3, Article ID 032302, 18 p. (2021; Zbl 1472.83107) Full Text: DOI arXiv
Chetverikov, Vladimir N. Coverings and multivector pseudosymmetries of differential equations. (English) Zbl 1458.35015 Differ. Geom. Appl. 74, Article ID 101705, 14 p. (2021). MSC: 35A30 35B05 35J05 58J70 58J72 PDF BibTeX XML Cite \textit{V. N. Chetverikov}, Differ. Geom. Appl. 74, Article ID 101705, 14 p. (2021; Zbl 1458.35015) Full Text: DOI
Chadha, Mayank; Todd, Michael D. Poisson bracket formulation of a higher-order, geometrically-exact beam. (English) Zbl 1458.35404 Appl. Math. Lett. 113, Article ID 106842, 14 p. (2021). MSC: 35Q74 74K10 PDF BibTeX XML Cite \textit{M. Chadha} and \textit{M. D. Todd}, Appl. Math. Lett. 113, Article ID 106842, 14 p. (2021; Zbl 1458.35404) Full Text: DOI
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
Sato, Naoki Dissipative brackets for the Fokker-Planck equation in Hamiltonian systems and characterization of metriplectic manifolds. (English) Zbl 07510449 Physica D 411, Article ID 132571, 17 p. (2020). MSC: 82-XX 37-XX PDF BibTeX XML Cite \textit{N. Sato}, Physica D 411, Article ID 132571, 17 p. (2020; Zbl 07510449) Full Text: DOI arXiv
Pavelka, Michal; Peshkov, Ilya; Klika, Václav On Hamiltonian continuum mechanics. (English) Zbl 1493.74009 Physica D 408, Article ID 132510, 19 p. (2020). MSC: 74A99 70H05 70H30 70G65 PDF BibTeX XML Cite \textit{M. Pavelka} et al., Physica D 408, Article ID 132510, 19 p. (2020; Zbl 1493.74009) Full Text: DOI arXiv
Schätz, Florian; Zambon, Marco Deformations of pre-symplectic structures and the Koszul \(L_\infty\)-algebra. (English) Zbl 1485.53097 Int. Math. Res. Not. 2020, No. 14, 4191-4237 (2020). MSC: 53D05 53D17 PDF BibTeX XML Cite \textit{F. Schätz} and \textit{M. Zambon}, Int. Math. Res. Not. 2020, No. 14, 4191--4237 (2020; Zbl 1485.53097) Full Text: DOI arXiv
Żołądek, Henryk A note on the commutator of Hamiltonian vector fields. (English) Zbl 1483.37067 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, 57-62 (2020). MSC: 37J06 53D05 53D17 PDF BibTeX XML Cite \textit{H. Żołądek}, Lond. Math. Soc. Lect. Note Ser. 458, 57--62 (2020; Zbl 1483.37067) Full Text: DOI Link
Beltiţă, Daniel; Odzijewicz, Anatol Standard groupoids of von Neumann algebras. (English) Zbl 1484.46062 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 31-39 (2020). MSC: 46L10 46L60 53D17 22A22 22E65 58B25 PDF BibTeX XML Cite \textit{D. Beltiţă} and \textit{A. Odzijewicz}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 31--39 (2020; Zbl 1484.46062) Full Text: DOI
Abramov, Viktor; Lätt, Priit Ternary Lie superalgebras and Nambu-Hamilton equation in superspace. (English) Zbl 1511.17052 Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 47-80 (2020). MSC: 17B60 17A40 37K25 37K30 PDF BibTeX XML Cite \textit{V. Abramov} and \textit{P. Lätt}, Springer Proc. Math. Stat. 317, 47--80 (2020; Zbl 1511.17052) Full Text: DOI
Chung, Won Sang; Hassanabadi, Hassan The \(f\)-deformation. I: \(f\)-deformed classical mechanics. (English) Zbl 07388501 Rep. Math. Phys. 85, No. 1, 1-28 (2020). MSC: 81-XX 74-XX PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{H. Hassanabadi}, Rep. Math. Phys. 85, No. 1, 1--28 (2020; Zbl 07388501) Full Text: DOI
Rosen, Daniel; Zhang, Jun Chekanov’s dichotomy in contact topology. (English) Zbl 1464.53101 Math. Res. Lett. 27, No. 4, 1165-1193 (2020). MSC: 53D10 53C40 53D35 PDF BibTeX XML Cite \textit{D. Rosen} and \textit{J. Zhang}, Math. Res. Lett. 27, No. 4, 1165--1193 (2020; Zbl 1464.53101) Full Text: DOI arXiv
Li, Yingzhe; Sun, Yajuan; Crouseilles, Nicolas Numerical simulations of one laser-plasma model based on Poisson structure. (English) Zbl 1453.65257 J. Comput. Phys. 405, Article ID 109172, 20 p. (2020). MSC: 65M08 65M70 76X05 76Y05 70G45 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Comput. Phys. 405, Article ID 109172, 20 p. (2020; Zbl 1453.65257) Full Text: DOI Link
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
Zhelyabin, V. N.; Zakharov, A. S. The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere. (English. Russian original) Zbl 1490.17041 Sib. Math. J. 61, No. 4, 632-647 (2020); translation from Sib. Mat. Zh. 61, No. 4, 803-822 (2020). Reviewer: Mohd Arif Raza (Rabigh) MSC: 17C50 PDF BibTeX XML Cite \textit{V. N. Zhelyabin} and \textit{A. S. Zakharov}, Sib. Math. J. 61, No. 4, 632--647 (2020; Zbl 1490.17041); translation from Sib. Mat. Zh. 61, No. 4, 803--822 (2020) Full Text: DOI
Kozlov, Valeriĭ V. Quadratic conservation laws for equations of mathematical physics. (English. Russian original) Zbl 1489.34087 Russ. Math. Surv. 75, No. 3, 445-494 (2020); translation from Usp. Mat. Nauk 75, No. 3, 55-106 (2020). Reviewer: Ti-Jun Xiao (Fudan) MSC: 34G10 37J35 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Russ. Math. Surv. 75, No. 3, 445--494 (2020; Zbl 1489.34087); translation from Usp. Mat. Nauk 75, No. 3, 55--106 (2020) Full Text: DOI
Piterbarg, L. I. Hamiltonian description of vortex systems. (English. Russian original) Zbl 1446.76087 Theor. Math. Phys. 202, No. 3, 412-427 (2020); translation from Teor. Mat. Fiz. 202, No. 3, 474-491 (2020). MSC: 76B47 70S05 PDF BibTeX XML Cite \textit{L. I. Piterbarg}, Theor. Math. Phys. 202, No. 3, 412--427 (2020; Zbl 1446.76087); translation from Teor. Mat. Fiz. 202, No. 3, 474--491 (2020) Full Text: DOI arXiv
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru Poisson \(\lambda\)-brackets for differential-difference equations. (English) Zbl 1473.37079 Int. Math. Res. Not. 2020, No. 13, 4144-4190 (2020). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37K06 37K30 37J06 37J37 39A36 17B63 PDF BibTeX XML Cite \textit{A. De Sole} et al., Int. Math. Res. Not. 2020, No. 13, 4144--4190 (2020; Zbl 1473.37079) Full Text: DOI arXiv
Buhovsky, Lev; Logunov, Alexander; Tanny, Shira Poisson brackets of partitions of unity on surfaces. (English) Zbl 1454.53063 Comment. Math. Helv. 95, No. 2, 247-278 (2020). MSC: 53D05 53D17 PDF BibTeX XML Cite \textit{L. Buhovsky} et al., Comment. Math. Helv. 95, No. 2, 247--278 (2020; Zbl 1454.53063) Full Text: DOI arXiv
Zhelyabin, V. N. Embedding of Jordan superalgebras into the superalgebras of Jordan brackets. (English. Russian original) Zbl 1477.17099 Sib. Math. J. 61, No. 1, 62-75 (2020); translation from Sib. Mat. Zh. 61, No. 1, 78-95 (2020). MSC: 17C70 17C50 16W10 PDF BibTeX XML Cite \textit{V. N. Zhelyabin}, Sib. Math. J. 61, No. 1, 62--75 (2020; Zbl 1477.17099); translation from Sib. Mat. Zh. 61, No. 1, 78--95 (2020) Full Text: DOI
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
Laurent-Gengoux, Camille; Wagemann, Friedrich Lie rackoids integrating Courant algebroids. (English) Zbl 1440.53091 Ann. Global Anal. Geom. 57, No. 2, 225-256 (2020). Reviewer: Alexander Schmeding (Bergen) MSC: 53D17 58H05 PDF BibTeX XML Cite \textit{C. Laurent-Gengoux} and \textit{F. Wagemann}, Ann. Global Anal. Geom. 57, No. 2, 225--256 (2020; Zbl 1440.53091) Full Text: DOI arXiv
Lorenzoni, P.; Vitolo, R. Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds. (English) Zbl 1439.37071 J. Geom. Phys. 149, Article ID 103573, 8 p. (2020). Reviewer: Tihomir Valchev (Sofia) MSC: 37K25 37K06 37K10 58A50 46S60 35A30 PDF BibTeX XML Cite \textit{P. Lorenzoni} and \textit{R. Vitolo}, J. Geom. Phys. 149, Article ID 103573, 8 p. (2020; Zbl 1439.37071) Full Text: DOI arXiv
Xiao, Jianyuan; Qin, Hong Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics. (English) Zbl 07674778 Comput. Phys. Commun. 241, 19-27 (2019). MSC: 78-XX 65-XX PDF BibTeX XML Cite \textit{J. Xiao} and \textit{H. Qin}, Comput. Phys. Commun. 241, 19--27 (2019; Zbl 07674778) Full Text: DOI arXiv
Berra-Montiel, Jasel; Molgado, Alberto; Rodríguez-López, Ángel Polysymplectic formulation for BF gravity with Immirzi parameter. (English) Zbl 1475.83007 Classical Quantum Gravity 36, No. 11, Article ID 115003, 18 p. (2019). MSC: 83C05 53D42 53D17 70S05 PDF BibTeX XML Cite \textit{J. Berra-Montiel} et al., Classical Quantum Gravity 36, No. 11, Article ID 115003, 18 p. (2019; Zbl 1475.83007) Full Text: DOI arXiv
Kaltsas, D. A.; Throumoulopoulos, G. N. 2D magnetofluid models constructed by a priori imposition of conservation laws. (English) Zbl 1486.76111 Phys. Lett., A 383, No. 10, 1031-1036 (2019). MSC: 76W05 76M60 70H33 PDF BibTeX XML Cite \textit{D. A. Kaltsas} and \textit{G. N. Throumoulopoulos}, Phys. Lett., A 383, No. 10, 1031--1036 (2019; Zbl 1486.76111) Full Text: DOI arXiv
Li, Yingzhe; He, Yang; Sun, Yajuan; Niesen, Jitse; Qin, Hong; Liu, Jian Solving the Vlasov-Maxwell equations using Hamiltonian splitting. (English) Zbl 1452.65394 J. Comput. Phys. 396, 381-399 (2019). MSC: 65P10 35Q83 35B06 76X05 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Comput. Phys. 396, 381--399 (2019; Zbl 1452.65394) Full Text: DOI
Xu, Mingxing; Zhou, Ran Bi-Hamiltonian structure of three-dimensional Lotka-Volterra system. (Chinese. English summary) Zbl 1449.37037 J. Jilin Univ., Sci. 57, No. 4, 773-778 (2019). MSC: 37J35 37J06 PDF BibTeX XML Cite \textit{M. Xu} and \textit{R. Zhou}, J. Jilin Univ., Sci. 57, No. 4, 773--778 (2019; Zbl 1449.37037) Full Text: DOI
Buring, R.; Kiselev, A. V. Formality morphism as the mechanism of \(\star\)-product associativity: how it works. (English) Zbl 1438.53125 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22-43 (2019). Reviewer: O. Zhaliĭ (Kyïv) MSC: 53D55 46L65 53D17 PDF BibTeX XML Cite \textit{R. Buring} and \textit{A. V. Kiselev}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22--43 (2019; Zbl 1438.53125) Full Text: arXiv
Bursztyn, Henrique; Martinez Alba, Nicolas; Rubio, Roberto On higher Dirac structures. (English) Zbl 1483.53097 Int. Math. Res. Not. 2019, No. 5, 1503-1542 (2019). Reviewer: Alfonso Giuseppe Tortorella (Porto) MSC: 53D17 53D42 PDF BibTeX XML Cite \textit{H. Bursztyn} et al., Int. Math. Res. Not. 2019, No. 5, 1503--1542 (2019; Zbl 1483.53097) Full Text: DOI arXiv
Celledoni, Elena; Farré Puiggalí, Marta; Høiseth, Eirik Hoel; Martín de Diego, David Energy-preserving integrators applied to nonholonomic systems. (English) Zbl 1436.37094 J. Nonlinear Sci. 29, No. 4, 1523-1562 (2019). MSC: 37M15 65P10 37J60 70F25 70H45 PDF BibTeX XML Cite \textit{E. Celledoni} et al., J. Nonlinear Sci. 29, No. 4, 1523--1562 (2019; Zbl 1436.37094) Full Text: DOI arXiv
Lalonde, François; Payette, Jordan Smooth covers on symplectic manifolds. (English. French summary) Zbl 1425.53110 Ann. Math. Qué. 43, No. 2, 341-356 (2019). Reviewer: Stefan Friedl (Regensburg) MSC: 53D35 57R17 55R20 57S05 PDF BibTeX XML Cite \textit{F. Lalonde} and \textit{J. Payette}, Ann. Math. Qué. 43, No. 2, 341--356 (2019; Zbl 1425.53110) Full Text: DOI
Pranevich, Andrey F. On Poisson’s theorem of building first integrals for ordinary differential systems. (English) Zbl 1416.37050 Russ. J. Nonlinear Dyn. 15, No. 1, 87-96 (2019). MSC: 37J05 37J35 37J15 34C14 PDF BibTeX XML Cite \textit{A. F. Pranevich}, Russ. J. Nonlinear Dyn. 15, No. 1, 87--96 (2019; Zbl 1416.37050) Full Text: DOI MNR
Martínez, Consuelo; Zelmanov, Efim Brackets, superalgebras and spectral gap. (English) Zbl 1446.17034 São Paulo J. Math. Sci. 13, No. 1, 112-132 (2019). Reviewer: Ivan Kaygorodov (Novosibirsk) MSC: 17B68 17B63 17C90 PDF BibTeX XML Cite \textit{C. Martínez} and \textit{E. Zelmanov}, São Paulo J. Math. Sci. 13, No. 1, 112--132 (2019; Zbl 1446.17034) Full Text: DOI Link
Chen, Mu Yi; Nyeo, Su-Long The field equations in a three-dimensional commutative space. (English) Zbl 1415.83036 Int. J. Mod. Phys. A 34, No. 15, Article ID 1950078, 14 p. (2019). MSC: 83C80 83C10 PDF BibTeX XML Cite \textit{M. Y. Chen} and \textit{S.-L. Nyeo}, Int. J. Mod. Phys. A 34, No. 15, Article ID 1950078, 14 p. (2019; Zbl 1415.83036) Full Text: DOI
Gustafsson, Björn The string equation for some rational functions. (English) Zbl 1418.30007 Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 213-235 (2019). MSC: 30C35 76D27 PDF BibTeX XML Cite \textit{B. Gustafsson}, in: Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. 213--235 (2019; Zbl 1418.30007) Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz; Szajewska, Marzena; Wojciechowicz, Karolina Deformation of the Poisson structure related to algebroid bracket of differential forms and application to real low dimentional Lie algebras. (English) Zbl 1465.17021 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 122-130 (2019). Reviewer: Zhuo Chen (Beijing) MSC: 17B63 37K10 53D17 PDF BibTeX XML Cite \textit{A. Dobrogowska} et al., Geom. Integrability Quantization 20, 122--130 (2019; Zbl 1465.17021) Full Text: Euclid
Popescu, Marcela; Popescu, Paul Almost Lie algebroids and characteristic classes. (English) Zbl 1422.53069 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 021, 12 p. (2019). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 53C05 55R40 58A99 PDF BibTeX XML Cite \textit{M. Popescu} and \textit{P. Popescu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 021, 12 p. (2019; Zbl 1422.53069) Full Text: DOI arXiv
Fehér, L.; Marshall, I. Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system. (English) Zbl 1410.37057 Ann. Henri Poincaré 20, No. 4, 1217-1262 (2019). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37J15 53D20 70G65 70E55 PDF BibTeX XML Cite \textit{L. Fehér} and \textit{I. Marshall}, Ann. Henri Poincaré 20, No. 4, 1217--1262 (2019; Zbl 1410.37057) Full Text: DOI arXiv
Pelletier, Fernand; Cabau, Patrick Convenient partial Poisson manifolds. (English) Zbl 1414.53074 J. Geom. Phys. 136, 173-194 (2019). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 18A30 46T05 17B66 37K30 22E65 PDF BibTeX XML Cite \textit{F. Pelletier} and \textit{P. Cabau}, J. Geom. Phys. 136, 173--194 (2019; Zbl 1414.53074) Full Text: DOI arXiv
Barron, Tatyana; Shafiee, Mohammad Multisymplectic structures induced by symplectic structures. (English) Zbl 1410.53077 J. Geom. Phys. 136, 1-13 (2019). MSC: 53D05 53D17 PDF BibTeX XML Cite \textit{T. Barron} and \textit{M. Shafiee}, J. Geom. Phys. 136, 1--13 (2019; Zbl 1410.53077) Full Text: DOI
Ramadoss, Ajay C.; Zhang, Yining Cyclic pairings and derived Poisson structures. (English) Zbl 1441.19008 New York J. Math. 25, 1-44 (2019). MSC: 19D55 16E40 17B63 PDF BibTeX XML Cite \textit{A. C. Ramadoss} and \textit{Y. Zhang}, New York J. Math. 25, 1--44 (2019; Zbl 1441.19008) Full Text: arXiv Link
Basu, Samik; Basu, Somnath; Das, Apurba; Mukherjee, Goutam Nambu structures and associated bialgebroids. (English) Zbl 1472.17076 Proc. Indian Acad. Sci., Math. Sci. 129, No. 1, Paper No. 12, 36 p. (2019). MSC: 17B62 17A42 17B63 53C15 53D17 PDF BibTeX XML Cite \textit{S. Basu} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 1, Paper No. 12, 36 p. (2019; Zbl 1472.17076) Full Text: DOI arXiv
Pym, Brent; Schedler, Travis Holonomic Poisson manifolds and deformations of elliptic algebras. (English) Zbl 1431.53090 Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 2. Oxford: Oxford University Press. 681-703 (2018). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 58D27 PDF BibTeX XML Cite \textit{B. Pym} and \textit{T. Schedler}, in: Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 2. Oxford: Oxford University Press. 681--703 (2018; Zbl 1431.53090) Full Text: arXiv
Sheinman, O. K. Integrable systems of algebraic origin and separation of variables. (English. Russian original) Zbl 1420.14076 Funct. Anal. Appl. 52, No. 4, 316-320 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 94-98 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H50 37J35 PDF BibTeX XML Cite \textit{O. K. Sheinman}, Funct. Anal. Appl. 52, No. 4, 316--320 (2018; Zbl 1420.14076); translation from Funkts. Anal. Prilozh. 52, No. 4, 94--98 (2018) Full Text: DOI arXiv
Batubenge, Augustin; Haziyu, Wallace Symplectic affine action and momentum with cocycle. (English) Zbl 1420.53087 Diagana, Toka (ed.) et al., Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29–30, 2016. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 119-135 (2018). MSC: 53D20 53D17 PDF BibTeX XML Cite \textit{A. Batubenge} and \textit{W. Haziyu}, in: Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29--30, 2016. Cham: Springer. 119--135 (2018; Zbl 1420.53087) Full Text: DOI
Peddie, Matthew. T. Homotopy Loday algebras and higher Dorfman brackets. (English) Zbl 1417.53089 Rend. Mat. Appl., VII. Ser. 39, No. 1, 133-156 (2018). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 53Z05 58A50 PDF BibTeX XML Cite \textit{Matthew. T. Peddie}, Rend. Mat. Appl., VII. Ser. 39, No. 1, 133--156 (2018; Zbl 1417.53089) Full Text: arXiv Link
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability. (English) Zbl 1411.76116 Regul. Chaotic Dyn. 23, No. 5, 613-636 (2018). MSC: 76M23 37J05 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 23, No. 5, 613--636 (2018; Zbl 1411.76116) Full Text: DOI
Popov, Sasho; Strelcyn, Jean-Marie The Euler-Poisson equations: an elementary approach to integrability conditions. (English) Zbl 1411.70006 J. Geom. Mech. 10, No. 3, 293-329 (2018). MSC: 70E17 70E40 37J30 37J35 PDF BibTeX XML Cite \textit{S. Popov} and \textit{J.-M. Strelcyn}, J. Geom. Mech. 10, No. 3, 293--329 (2018; Zbl 1411.70006) Full Text: DOI
Abramov, Viktor Nambu-Poisson bracket on superspace. (English) Zbl 1431.70012 Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850190, 17 p. (2018). MSC: 70S05 17B63 37K65 58C50 PDF BibTeX XML Cite \textit{V. Abramov}, Int. J. Geom. Methods Mod. Phys. 15, No. 11, Article ID 1850190, 17 p. (2018; Zbl 1431.70012) Full Text: DOI arXiv
Entov, Michael; Ganor, Yaniv; Membrez, Cedric Lagrangian isotopies and symplectic function theory. (English) Zbl 1494.53093 Comment. Math. Helv. 93, No. 4, 829-882 (2018). MSC: 53D12 PDF BibTeX XML Cite \textit{M. Entov} et al., Comment. Math. Helv. 93, No. 4, 829--882 (2018; Zbl 1494.53093) Full Text: DOI arXiv
Casati, M. Higher-order dispersive deformations of multidimensional Poisson brackets of hydrodynamic type. (English. Russian original) Zbl 1402.35215 Theor. Math. Phys. 196, No. 2, 1129-1149 (2018); translation from Teor. Mat. Fiz. 196, No. 2, 214-237 (2018). MSC: 35Q35 17B30 PDF BibTeX XML Cite \textit{M. Casati}, Theor. Math. Phys. 196, No. 2, 1129--1149 (2018; Zbl 1402.35215); translation from Teor. Mat. Fiz. 196, No. 2, 214--237 (2018) Full Text: DOI arXiv
Merkulov, Sergei; Willwacher, Thomas An explicit two step quantization of Poisson structures and Lie bialgebras. (English) Zbl 1404.53106 Commun. Math. Phys. 364, No. 2, 505-578 (2018). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 53D50 17B63 PDF BibTeX XML Cite \textit{S. Merkulov} and \textit{T. Willwacher}, Commun. Math. Phys. 364, No. 2, 505--578 (2018; Zbl 1404.53106) Full Text: DOI arXiv
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A. Dynamics of three vortices on a sphere. (English) Zbl 1400.76055 Regul. Chaotic Dyn. 23, No. 1, 127-134 (2018); retraction ibid. 23, No. 2, 226 (2018). MSC: 76M23 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 23, No. 1, 127--134 (2018; Zbl 1400.76055) Full Text: DOI
Carlet, Guido; Casati, Matteo; Shadrin, Sergey Normal forms of dispersive scalar Poisson brackets with two independent variables. (English) Zbl 1397.37067 Lett. Math. Phys. 108, No. 10, 2229-2253 (2018). Reviewer: Ma Wen-Xiu (Tampa) MSC: 37K05 37K10 35Q51 PDF BibTeX XML Cite \textit{G. Carlet} et al., Lett. Math. Phys. 108, No. 10, 2229--2253 (2018; Zbl 1397.37067) Full Text: DOI arXiv
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDF BibTeX XML Cite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid
Yang, Yingjuan; Qi, Guoyuan Mechanical analysis and bound of plasma chaotic system. (English) Zbl 1390.34117 Chaos Solitons Fractals 108, 187-195 (2018). MSC: 34C28 34C60 34D45 76X05 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{G. Qi}, Chaos Solitons Fractals 108, 187--195 (2018; Zbl 1390.34117) Full Text: DOI
Pym, Brent Constructions and classifications of projective Poisson varieties. (English) Zbl 1390.53093 Lett. Math. Phys. 108, No. 3, 573-632 (2018). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 14J45 17B63 PDF BibTeX XML Cite \textit{B. Pym}, Lett. Math. Phys. 108, No. 3, 573--632 (2018; Zbl 1390.53093) Full Text: DOI arXiv
Gekhtman, Misha; Shapiro, Michael; Vainshtein, Alek Drinfeld double of \(GL_n\) and generalized cluster structures. (English) Zbl 1432.53117 Proc. Lond. Math. Soc. (3) 116, No. 3, 429-484 (2018). MSC: 53D17 13F60 PDF BibTeX XML Cite \textit{M. Gekhtman} et al., Proc. Lond. Math. Soc. (3) 116, No. 3, 429--484 (2018; Zbl 1432.53117) Full Text: DOI arXiv
Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed. (English) Zbl 1387.53105 J. Differ. Geom. 108, No. 1, 63-89 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 53D17 PDF BibTeX XML Cite \textit{G. Carlet} et al., J. Differ. Geom. 108, No. 1, 63--89 (2018; Zbl 1387.53105) Full Text: DOI arXiv Euclid
Webb, Gary Magnetohydrodynamics and fluid dynamics: action principles and conservation laws. (English) Zbl 1397.76001 Lecture Notes in Physics 946. Cham: Springer (ISBN 978-3-319-72510-9/pbk; 978-3-319-72511-6/ebook). xiv, 301 p. (2018). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76-02 76W05 76M60 35L65 00A79 PDF BibTeX XML Cite \textit{G. Webb}, Magnetohydrodynamics and fluid dynamics: action principles and conservation laws. Cham: Springer (2018; Zbl 1397.76001) Full Text: DOI