Mazrooei-Sebdani, Reza; Hakimi, Elham Periodic Klein-Gordon chains with three particles in 1:2:2 resonance. (English) Zbl 07522531 J. Dyn. Differ. Equations 34, No. 2, 1349-1370 (2022). MSC: 37J12 37N20 37J40 70K30 37J35 70H06 70H33 70K45 PDF BibTeX XML Cite \textit{R. Mazrooei-Sebdani} and \textit{E. Hakimi}, J. Dyn. Differ. Equations 34, No. 2, 1349--1370 (2022; Zbl 07522531) Full Text: DOI OpenURL
Belozerov, Gleb V. Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space. (English. Russian original) Zbl 07514268 Sb. Math. 213, No. 2, 129-160 (2022); translation from Mat. Sb. 213, No. 2, 3-36 (2022). MSC: 37J35 37C83 PDF BibTeX XML Cite \textit{G. V. Belozerov}, Sb. Math. 213, No. 2, 129--160 (2022; Zbl 07514268); translation from Mat. Sb. 213, No. 2, 3--36 (2022) Full Text: DOI OpenURL
Lang, Julius Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic. (English) Zbl 07513875 J. Topol. Anal. 14, No. 1, 287-296 (2022). MSC: 53C60 37J35 PDF BibTeX XML Cite \textit{J. Lang}, J. Topol. Anal. 14, No. 1, 287--296 (2022; Zbl 07513875) Full Text: DOI OpenURL
Raza, Nauman; Seadawy, Aly R.; Arshed, Saima; Rafiq, Muhammad H. A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods. (English) Zbl 07510805 J. Geom. Phys. 176, Article ID 104515, 11 p. (2022). MSC: 35C08 35G55 35Q51 37J35 PDF BibTeX XML Cite \textit{N. Raza} et al., J. Geom. Phys. 176, Article ID 104515, 11 p. (2022; Zbl 07510805) Full Text: DOI OpenURL
Dragović, Vladimir; Gasiorek, Sean; Radnović, Milena Billiard ordered games and books. (English) Zbl 07507461 Regul. Chaotic Dyn. 27, No. 2, 132-150 (2022). MSC: 37J35 PDF BibTeX XML Cite \textit{V. Dragović} et al., Regul. Chaotic Dyn. 27, No. 2, 132--150 (2022; Zbl 07507461) Full Text: DOI OpenURL
Treschev, Dmitry V. Isochronicity in 1 DOF. (English) Zbl 07507460 Regul. Chaotic Dyn. 27, No. 2, 123-131 (2022). MSC: 34C20 37J35 PDF BibTeX XML Cite \textit{D. V. Treschev}, Regul. Chaotic Dyn. 27, No. 2, 123--131 (2022; Zbl 07507460) Full Text: DOI OpenURL
Gubbiotti, G. Classification of variational multiplicative fourth-order difference equations. (English) Zbl 07505576 J. Difference Equ. Appl. 28, No. 3, 406-428 (2022). MSC: 70H30 39A13 37J35 PDF BibTeX XML Cite \textit{G. Gubbiotti}, J. Difference Equ. Appl. 28, No. 3, 406--428 (2022; Zbl 07505576) Full Text: DOI OpenURL
Odzijewicz, A.; Wawreniuk, E. Integrable Hamiltonian systems on the symplectic realizations of \(\textbf{e}(3)^\ast\). (English) Zbl 07500886 Russ. J. Math. Phys. 29, No. 1, 91-114 (2022). MSC: 37J35 37J99 53D50 53D17 70G45 PDF BibTeX XML Cite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, Russ. J. Math. Phys. 29, No. 1, 91--114 (2022; Zbl 07500886) Full Text: DOI OpenURL
Kudryavtseva, E. A.; Oshemkov, A. A. Structurally stable nondegenerate singularities of integrable systems. (English) Zbl 07500883 Russ. J. Math. Phys. 29, No. 1, 57-75 (2022). MSC: 37J35 37J99 37J05 37K10 70H06 PDF BibTeX XML Cite \textit{E. A. Kudryavtseva} and \textit{A. A. Oshemkov}, Russ. J. Math. Phys. 29, No. 1, 57--75 (2022; Zbl 07500883) Full Text: DOI OpenURL
Tempesta, Piergiulio; Tondo, Giorgio Haantjes algebras of classical integrable systems. (English) Zbl 07495327 Ann. Mat. Pura Appl. (4) 201, No. 1, 57-90 (2022); corrigendum ibid. 201, No. 1, 91 (2022). MSC: 37J35 53D05 35Q53 PDF BibTeX XML Cite \textit{P. Tempesta} and \textit{G. Tondo}, Ann. Mat. Pura Appl. (4) 201, No. 1, 57--90 (2022; Zbl 07495327) Full Text: DOI OpenURL
Skrypnyk, T. Symmetric and asymmetric separation of variables for an integrable case of the complex Kirchhoff’s problem. (English) Zbl 07482862 J. Geom. Phys. 172, Article ID 104418, 26 p. (2022). MSC: 35A30 37J35 PDF BibTeX XML Cite \textit{T. Skrypnyk}, J. Geom. Phys. 172, Article ID 104418, 26 p. (2022; Zbl 07482862) Full Text: DOI OpenURL
Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc Pointwise periodic maps with quantized first integrals. (English) Zbl 07474613 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022). MSC: 37C25 39A23 37C55 37J35 52C20 PDF BibTeX XML Cite \textit{A. Cima} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106150, 26 p. (2022; Zbl 07474613) Full Text: DOI arXiv OpenURL
Kaloshin, Vadim; Sorrentino, Alfonso Inverse problems and rigidity questions in billiard dynamics. (English) Zbl 07469301 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 07469301) Full Text: DOI OpenURL
Campoamor-Stursberg, Rutwig; Marquette, Ian Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras. (English) Zbl 07468316 Ann. Phys. 437, Article ID 168694, 16 p. (2022). MSC: 17B35 37J35 81R12 PDF BibTeX XML Cite \textit{R. Campoamor-Stursberg} and \textit{I. Marquette}, Ann. Phys. 437, Article ID 168694, 16 p. (2022; Zbl 07468316) Full Text: DOI arXiv OpenURL
Arcet, Barbara; Giné, Jaume; Romanovski, Valery G. Linearizability of planar polynomial Hamiltonian systems. (English) Zbl 07446135 Nonlinear Anal., Real World Appl. 63, Article ID 103422, 19 p. (2022). Reviewer: Xingwu Chen (Chengdu) MSC: 34C20 37J35 PDF BibTeX XML Cite \textit{B. Arcet} et al., Nonlinear Anal., Real World Appl. 63, Article ID 103422, 19 p. (2022; Zbl 07446135) Full Text: DOI OpenURL
Brînzănescu, Vasile Vector bundles on non-Kähler elliptic surfaces and integrable systems. (English) Zbl 07523898 Rev. Roum. Math. Pures Appl. 66, No. 1, 257-263 (2021). MSC: 32L10 32J18 32G13 14J60 14F06 13D09 53D17 37J35 37J38 PDF BibTeX XML Cite \textit{V. Brînzănescu}, Rev. Roum. Math. Pures Appl. 66, No. 1, 257--263 (2021; Zbl 07523898) OpenURL
Buchstaber, Victor M.; Mikhailov, Alexander V. Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves. (English. Russian original) Zbl 07505212 Russ. Math. Surv. 76, No. 4, 587-652 (2021); translation from Usp. Mat. Nauk 76, No. 4, 37-104 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14K25 37J35 PDF BibTeX XML Cite \textit{V. M. Buchstaber} and \textit{A. V. Mikhailov}, Russ. Math. Surv. 76, No. 4, 587--652 (2021; Zbl 07505212); translation from Usp. Mat. Nauk 76, No. 4, 37--104 (2021) Full Text: DOI OpenURL
Bolsinov, Aleksei V.; Veselov, Aleksandr P.; Ye, Yiru Chaos and integrability in \(\operatorname{SL}(2,\mathbb{R})\)-geometry. (English. Russian original) Zbl 07505211 Russ. Math. Surv. 76, No. 4, 557-586 (2021); translation from Usp. Mat. Nauk 76, No. 4, 3-36 (2021). MSC: 37D40 37J35 57M50 PDF BibTeX XML Cite \textit{A. V. Bolsinov} et al., Russ. Math. Surv. 76, No. 4, 557--586 (2021; Zbl 07505211); translation from Usp. Mat. Nauk 76, No. 4, 3--36 (2021) Full Text: DOI OpenURL
Vedyushkina, Viktoriya V. Topological type of isoenergy surfaces of billiard books. (English. Russian original) Zbl 07498880 Sb. Math. 212, No. 12, 1660-1674 (2021); translation from Mat. Sb. 212, No. 12, 1660-1674 (2021). MSC: 37C83 37J35 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Sb. Math. 212, No. 12, 1660--1674 (2021; Zbl 07498880); translation from Mat. Sb. 212, No. 12, 1660--1674 (2021) Full Text: DOI OpenURL
Brezhnev, Yu. V.; Tsvetkova, A. V. An exactly solvable problem of wave fronts and applications to the asymptotic theory. (English) Zbl 07479459 Physica D 419, Article ID 132868, 8 p. (2021). MSC: 35C05 35L10 35L15 37J35 PDF BibTeX XML Cite \textit{Yu. V. Brezhnev} and \textit{A. V. Tsvetkova}, Physica D 419, Article ID 132868, 8 p. (2021; Zbl 07479459) Full Text: DOI arXiv OpenURL
Kudryavtseva, Elena A.; Martynchuk, Nikolay N. Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori. (English) Zbl 07472283 Regul. Chaotic Dyn. 26, No. 6, 732-741 (2021). MSC: 37J35 53D12 53D20 70H06 PDF BibTeX XML Cite \textit{E. A. Kudryavtseva} and \textit{N. N. Martynchuk}, Regul. Chaotic Dyn. 26, No. 6, 732--741 (2021; Zbl 07472283) Full Text: DOI arXiv OpenURL
Nakamura, Akane; Rains, Eric Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems. (English) Zbl 1480.14023 Int. Math. Res. Not. 2021, No. 16, 12691-12706 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H70 37J35 14J99 14C34 14D05 34M55 34M35 PDF BibTeX XML Cite \textit{A. Nakamura} and \textit{E. Rains}, Int. Math. Res. Not. 2021, No. 16, 12691--12706 (2021; Zbl 1480.14023) Full Text: DOI OpenURL
Fehér, L. Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case. (English) Zbl 07458073 Ann. Henri Poincaré 22, No. 12, 4063-4085 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37J06 53D17 53D20 PDF BibTeX XML Cite \textit{L. Fehér}, Ann. Henri Poincaré 22, No. 12, 4063--4085 (2021; Zbl 07458073) Full Text: DOI arXiv OpenURL
Nakamura, Akane; Rains, Eric Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems. (English) Zbl 07456419 Int. Math. Res. Not. 2021, No. 18, 14204-14219 (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 14H70 34M35 37J35 PDF BibTeX XML Cite \textit{A. Nakamura} and \textit{E. Rains}, Int. Math. Res. Not. 2021, No. 18, 14204--14219 (2021; Zbl 07456419) Full Text: DOI arXiv OpenURL
Guillemin, Victor; Wang, Zuo Qin Bohr-Sommerfeld levels for quantum completely integrable systems. (English) Zbl 07455180 Acta Math. Sin., Engl. Ser. 37, No. 11, 1743-1750 (2021). MSC: 81Q20 58C40 37J35 81Q80 81V45 PDF BibTeX XML Cite \textit{V. Guillemin} and \textit{Z. Q. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 11, 1743--1750 (2021; Zbl 07455180) Full Text: DOI OpenURL
Kozlov, V. V. On the problem of separation of variables in systems of ordinary differential equations. (English. Russian original) Zbl 07452231 Differ. Equ. 57, No. 10, 1299-1306 (2021); translation from Differ. Uravn. 57, No. 10, 1325-1332 (2021). MSC: 37J39 37J35 34A25 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Differ. Equ. 57, No. 10, 1299--1306 (2021; Zbl 07452231); translation from Differ. Uravn. 57, No. 10, 1325--1332 (2021) Full Text: DOI OpenURL
Modin, Klas; Viviani, Milo Integrability of point-vortex dynamics via symplectic reduction: a survey. (English) Zbl 1482.37056 Arnold Math. J. 7, No. 3, 357-385 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J30 37J39 53D20 70H06 76B47 PDF BibTeX XML Cite \textit{K. Modin} and \textit{M. Viviani}, Arnold Math. J. 7, No. 3, 357--385 (2021; Zbl 1482.37056) Full Text: DOI arXiv OpenURL
Bialy, Misha; Mironov, Andrey E.; Shalom, Lior Outer billiards with the dynamics of a standard shift on a finite number of invariant curves. (English) Zbl 07446655 Exp. Math. 30, No. 4, 469-474 (2021). MSC: 37C83 37J39 37J35 14H70 PDF BibTeX XML Cite \textit{M. Bialy} et al., Exp. Math. 30, No. 4, 469--474 (2021; Zbl 07446655) Full Text: DOI arXiv OpenURL
Orlov, A. Yu. Notes about the KP/BKP correspondence. (English. Russian original) Zbl 1482.81013 Theor. Math. Phys. 208, No. 3, 1207-1227 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 416-439 (2021). MSC: 81Q05 37K10 37J35 PDF BibTeX XML Cite \textit{A. Yu. Orlov}, Theor. Math. Phys. 208, No. 3, 1207--1227 (2021; Zbl 1482.81013); translation from Teor. Mat. Fiz. 208, No. 3, 416--439 (2021) Full Text: DOI arXiv OpenURL
Fomenko, Anatoly T.; Kibkalo, Vladislav A. Saddle singularities in integrable Hamiltonian systems: examples and algorithms. (English) Zbl 07438611 Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 3-26 (2021). MSC: 37J39 37J35 37J25 37C83 58K65 58K45 PDF BibTeX XML Cite \textit{A. T. Fomenko} and \textit{V. A. Kibkalo}, in: Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. 3--26 (2021; Zbl 07438611) Full Text: DOI OpenURL
Pustovoytov, S. E. Topological analysis of a billiard in elliptic ring in a potential field. (English. Russian original) Zbl 07436596 J. Math. Sci., New York 259, No. 5, 712-729 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 201-225 (2019). MSC: 37J39 37J35 58K65 37C83 PDF BibTeX XML Cite \textit{S. E. Pustovoytov}, J. Math. Sci., New York 259, No. 5, 712--729 (2021; Zbl 07436596); translation from Fundam. Prikl. Mat. 22, No. 6, 201--225 (2019) Full Text: DOI OpenURL
Karginova, E. E. Liouville foliation of topological billiards in the Minkowski plane. (English. Russian original) Zbl 07436592 J. Math. Sci., New York 259, No. 5, 656-675 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 123-150 (2019). MSC: 37J39 37J35 58K65 PDF BibTeX XML Cite \textit{E. E. Karginova}, J. Math. Sci., New York 259, No. 5, 656--675 (2021; Zbl 07436592); translation from Fundam. Prikl. Mat. 22, No. 6, 123--150 (2019) Full Text: DOI OpenURL
Zhila, A. I. Classification of the gluing matrices on the loop molecules of the points of center-center type. (English. Russian original) Zbl 07436590 J. Math. Sci., New York 259, No. 5, 628-635 (2021); translation from Fundam. Prikl. Mat. 22, No. 6, 85-94 (2019). MSC: 37J39 37J20 37J35 58K65 PDF BibTeX XML Cite \textit{A. I. Zhila}, J. Math. Sci., New York 259, No. 5, 628--635 (2021; Zbl 07436590); translation from Fundam. Prikl. Mat. 22, No. 6, 85--94 (2019) Full Text: DOI OpenURL
Vedyushkina, V. V. Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses. (English. Russian original) Zbl 07432180 Mosc. Univ. Math. Bull. 76, No. 4, 177-180 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 4, 48-51 (2021). MSC: 37J35 37J39 37J06 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Mosc. Univ. Math. Bull. 76, No. 4, 177--180 (2021; Zbl 07432180); translation from Vestn. Mosk. Univ., Ser. I 76, No. 4, 48--51 (2021) Full Text: DOI OpenURL
Boualem, Hassan; Brouzet, Robert Generically, Arnold-Liouville systems cannot be bi-Hamiltonian. (English) Zbl 07431235 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 096, 17 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J06 70H06 PDF BibTeX XML Cite \textit{H. Boualem} and \textit{R. Brouzet}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 096, 17 p. (2021; Zbl 07431235) Full Text: DOI arXiv OpenURL
Crespo, Teresa; Hajto, Zbigniew; Mohseni, Rouzbeh Real Liouvillian extensions of partial differential fields. (English) Zbl 07431234 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021). MSC: 12H05 37J35 12D15 14P05 PDF BibTeX XML Cite \textit{T. Crespo} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021; Zbl 07431234) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V.; Kharcheva, I. S. Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 07428661 Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37C83 37J35 37G10 37J20 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 212, No. 8, 1122--1179 (2021; Zbl 07428661); translation from Mat. Sb. 212, No. 8, 89--150 (2021) Full Text: DOI OpenURL
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1482.37059 Dokl. Math. 103, No. 2, 85-91 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23-30 (2021). MSC: 37J35 37J39 70H06 PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 103, No. 2, 85--91 (2021; Zbl 1482.37059); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23--30 (2021) Full Text: DOI OpenURL
Vedyushkina, V. V.; Fomenko, A. T. Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060 Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021). MSC: 37J35 37J39 70E40 70E17 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 103, No. 1, 1--4 (2021; Zbl 1482.37060); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5--8 (2021) Full Text: DOI OpenURL
Fomenko, A. T.; Vedyushkina, V. V. Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases. (English) Zbl 1482.37055 Russ. J. Math. Phys. 28, No. 3, 317-332 (2021). MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{A. T. Fomenko} and \textit{V. V. Vedyushkina}, Russ. J. Math. Phys. 28, No. 3, 317--332 (2021; Zbl 1482.37055) Full Text: DOI OpenURL
Evripidou, C. A.; Kassotakis, P.; Vanhaecke, P. Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps. (English) Zbl 07419058 Math. Phys. Anal. Geom. 24, No. 3, Paper No. 26, 28 p. (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 37J35 PDF BibTeX XML Cite \textit{C. A. Evripidou} et al., Math. Phys. Anal. Geom. 24, No. 3, Paper No. 26, 28 p. (2021; Zbl 07419058) Full Text: DOI arXiv OpenURL
Mitsopoulos, Antonios; Tsamparlis, Michael Higher order first integrals of autonomous dynamical systems. (English) Zbl 07416026 J. Geom. Phys. 170, Article ID 104383, 11 p. (2021). MSC: 37J06 37J35 34A05 PDF BibTeX XML Cite \textit{A. Mitsopoulos} and \textit{M. Tsamparlis}, J. Geom. Phys. 170, Article ID 104383, 11 p. (2021; Zbl 07416026) Full Text: DOI arXiv OpenURL
de Lucas, J.; Zawora, B. M. A time-dependent energy-momentum method. (English) Zbl 07416014 J. Geom. Phys. 170, Article ID 104364, 22 p. (2021). MSC: 37J25 37J39 37J35 70H14 53D20 PDF BibTeX XML Cite \textit{J. de Lucas} and \textit{B. M. Zawora}, J. Geom. Phys. 170, Article ID 104364, 22 p. (2021; Zbl 07416014) Full Text: DOI arXiv OpenURL
Stachowiak, Tomasz; Maciejewski, Andrzej J. Non-integrability of the Kepler and the two-body problems on the Heisenberg group. (English) Zbl 07413747 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J30 37J35 37N05 70F05 70H07 70G45 53C17 PDF BibTeX XML Cite \textit{T. Stachowiak} and \textit{A. J. Maciejewski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021; Zbl 07413747) Full Text: DOI arXiv OpenURL
Skrypnyk, Taras Separation of variables, quasi-trigonometric \(r\)-matrices and generalized Gaudin models. (English) Zbl 1473.14063 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 069, 21 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 17B80 37J35 PDF BibTeX XML Cite \textit{T. Skrypnyk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 069, 21 p. (2021; Zbl 1473.14063) Full Text: DOI arXiv OpenURL
Fairon, Maxime; Görbe, Tamás Superintegrability of Calogero-Moser systems associated with the cyclic quiver. (English) Zbl 1479.70044 Nonlinearity 34, No. 11, 7662-7682 (2021). Reviewer: Arsen Melikyan (Brasília) MSC: 70H06 37J35 16G20 53D20 PDF BibTeX XML Cite \textit{M. Fairon} and \textit{T. Görbe}, Nonlinearity 34, No. 11, 7662--7682 (2021; Zbl 1479.70044) Full Text: DOI arXiv OpenURL
Chierchia, Luigi; Koudjinan, Comlan E. V. I. Arnold’s “Global” KAM theorem and geometric measure estimates. (English) Zbl 1481.37065 Regul. Chaotic Dyn. 26, No. 1, 61-88 (2021). MSC: 37J40 37J35 37J25 70H08 70K43 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 26, No. 1, 61--88 (2021; Zbl 1481.37065) Full Text: DOI arXiv OpenURL
Novokshenov, V. Yu. Parametric resonance in integrable systems and averaging on Riemann surfaces. (English. Russian original) Zbl 1481.37060 J. Math. Sci., New York 258, No. 1, 65-80 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65-80 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J38 14H70 70K28 70K43 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, J. Math. Sci., New York 258, No. 1, 65--80 (2021; Zbl 1481.37060); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65--80 (2019) Full Text: DOI OpenURL
Agapov, S. V.; Valyuzhenich, A. A.; Shubin, V. V. Some remarks on high degree polynomial integrals of the magnetic geodesic flow on the two-dimensional torus. (English. Russian original) Zbl 07401155 Sib. Math. J. 62, No. 4, 581-585 (2021); translation from Sib. Mat. Zh. 62, No. 4, 715-720 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J39 37E35 53D25 PDF BibTeX XML Cite \textit{S. V. Agapov} et al., Sib. Math. J. 62, No. 4, 581--585 (2021; Zbl 07401155); translation from Sib. Mat. Zh. 62, No. 4, 715--720 (2021) Full Text: DOI OpenURL
Smilga, A. V. On exactly solvable ghost-ridden systems. (English) Zbl 07399777 Phys. Lett., A 389, Article ID 127104, 6 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 37J35 37K10 81U15 PDF BibTeX XML Cite \textit{A. V. Smilga}, Phys. Lett., A 389, Article ID 127104, 6 p. (2021; Zbl 07399777) Full Text: DOI arXiv OpenURL
Rañada, Manuel F. Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion. (English) Zbl 07396833 J. Geom. Mech. 13, No. 2, 195-208 (2021). Reviewer: Arsen Melikyan (Brasília) MSC: 70H06 70H33 37J35 37J39 PDF BibTeX XML Cite \textit{M. F. Rañada}, J. Geom. Mech. 13, No. 2, 195--208 (2021; Zbl 07396833) Full Text: DOI arXiv OpenURL
Tudoran, Răzvan M. A note on the structure of prescribed gradient-like domains of non-integrable vector fields. (English) Zbl 1479.37061 Math. Methods Appl. Sci. 44, No. 14, 11288-11292 (2021). MSC: 37J30 37J35 37J39 PDF BibTeX XML Cite \textit{R. M. Tudoran}, Math. Methods Appl. Sci. 44, No. 14, 11288--11292 (2021; Zbl 1479.37061) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V. Local modeling of Liouville foliations by billiards: implementation of edge invariants. (English. Russian original) Zbl 1478.37062 Mosc. Univ. Math. Bull. 76, No. 2, 60-64 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 28-32 (2021). MSC: 37J39 37J35 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Mosc. Univ. Math. Bull. 76, No. 2, 60--64 (2021; Zbl 1478.37062); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 28--32 (2021) Full Text: DOI OpenURL
Takeuchi, Tsukasa Examples of four- or six-dimensional symplectic-Haantjes manifolds and about a relationship with recursion operators. (English) Zbl 07391066 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 263-273 (2021). MSC: 37J06 37J35 37J39 53D05 PDF BibTeX XML Cite \textit{T. Takeuchi}, Geom. Integrability Quantization 22, 263--273 (2021; Zbl 07391066) Full Text: DOI OpenURL
Arthamonov, S.; Reshetikhin, N. Superintegrable systems on moduli spaces of flat connections. (English) Zbl 07387980 Commun. Math. Phys. 386, No. 3, 1337-1381 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J38 14H70 53D17 PDF BibTeX XML Cite \textit{S. Arthamonov} and \textit{N. Reshetikhin}, Commun. Math. Phys. 386, No. 3, 1337--1381 (2021; Zbl 07387980) Full Text: DOI arXiv OpenURL
Ragnisco, Orlando A confined quasi-maximally superintegrable \(N\)-dimensional system, classical and quantum, in a space with variable curvature. (English) Zbl 1478.37060 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., 141-148 (2021). MSC: 37J35 37J39 70H06 81Q80 81U15 PDF BibTeX XML Cite \textit{O. Ragnisco}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 141--148 (2021; Zbl 1478.37060) Full Text: DOI OpenURL
Zander, René On the singularity structure of Kahan discretizations of a class of quadratic vector fields. (English) Zbl 07384700 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 07384700) Full Text: DOI arXiv OpenURL
Pallister, Joe Linear relations and integrability for cluster algebras from affine quivers. (English) Zbl 07384195 Glasg. Math. J. 63, No. 3, 584-621 (2021). MSC: 13F60 37J35 11B37 PDF BibTeX XML Cite \textit{J. Pallister}, Glasg. Math. J. 63, No. 3, 584--621 (2021; Zbl 07384195) 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
Olshanetsky, M. A. Integrable extensions of classical elliptic integrable systems. (English. Russian original) Zbl 1477.37064 Theor. Math. Phys. 208, No. 2, 1061-1074 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 245-260 (2021). MSC: 37J37 37J35 22E30 17B80 PDF BibTeX XML Cite \textit{M. A. Olshanetsky}, Theor. Math. Phys. 208, No. 2, 1061--1074 (2021; Zbl 1477.37064); translation from Teor. Mat. Fiz. 208, No. 2, 245--260 (2021) Full Text: DOI arXiv OpenURL
Du, Dianlou; Liu, Yuanyuan; Wang, Xue Integrable symplectic maps via reduction of Bäcklund transformation. (English. Russian original) Zbl 1477.37063 Theor. Math. Phys. 208, No. 1, 886-895 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 39-50 (2021). MSC: 37J11 37J35 37K10 37K35 35Q53 PDF BibTeX XML Cite \textit{D. Du} et al., Theor. Math. Phys. 208, No. 1, 886--895 (2021; Zbl 1477.37063); translation from Teor. Mat. Fiz. 208, No. 1, 39--50 (2021) Full Text: DOI OpenURL
Duan, Xiaojuan; Li, Chuanzhong; Wang, Jing Ping Multi-component Toda lattice in centro-affine \(\mathbb{R}^n\). (English. Russian original) Zbl 1477.37072 Theor. Math. Phys. 207, No. 3, 701-712 (2021); translation from Teor. Mat. Fiz. 207, No. 3, 347-360 (2021). MSC: 37K10 37K35 37J35 PDF BibTeX XML Cite \textit{X. Duan} et al., Theor. Math. Phys. 207, No. 3, 701--712 (2021; Zbl 1477.37072); translation from Teor. Mat. Fiz. 207, No. 3, 347--360 (2021) Full Text: DOI OpenURL
Hallnäs, Martin; Ruijsenaars, Simon Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III: Factorized asymptotics. (English) Zbl 1477.37065 Int. Math. Res. Not. 2021, No. 6, 4679-4708 (2021). MSC: 37J38 37K20 37H10 37J35 81Q80 PDF BibTeX XML Cite \textit{M. Hallnäs} and \textit{S. Ruijsenaars}, Int. Math. Res. Not. 2021, No. 6, 4679--4708 (2021; Zbl 1477.37065) Full Text: DOI arXiv OpenURL
Colarusso, Mark; Evens, Sam The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 07381540 Int. Math. Res. Not. 2021, No. 4, 2682-2722 (2021). MSC: 37J37 37J39 37J35 53D05 53D20 PDF BibTeX XML Cite \textit{M. Colarusso} and \textit{S. Evens}, Int. Math. Res. Not. 2021, No. 4, 2682--2722 (2021; Zbl 07381540) Full Text: DOI arXiv OpenURL
Kozlov, Valery; Polekhin, Ivan On the non-integrability and dynamics of discrete models of threads. (English) Zbl 1480.37069 Nonlinearity 34, No. 9, 6398-6416 (2021). MSC: 37J30 37J35 37J37 PDF BibTeX XML Cite \textit{V. Kozlov} and \textit{I. Polekhin}, Nonlinearity 34, No. 9, 6398--6416 (2021; Zbl 1480.37069) Full Text: DOI arXiv OpenURL
Zhang, Xiang Regularity and convergence of local first integrals of analytic differential systems. (English) Zbl 1481.37061 J. Differ. Equations 294, 40-59 (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J35 37C10 37C27 34C14 34C05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Differ. Equations 294, 40--59 (2021; Zbl 1481.37061) Full Text: DOI arXiv OpenURL
Gubbiotti, G.; Nucci, M. C. Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity. (English) Zbl 1469.81080 J. Math. Phys. 62, No. 7, 073503, 28 p. (2021). MSC: 81V17 81R12 70H06 83C10 83E05 37K10 37J35 PDF BibTeX XML Cite \textit{G. Gubbiotti} and \textit{M. C. Nucci}, J. Math. Phys. 62, No. 7, 073503, 28 p. (2021; Zbl 1469.81080) Full Text: DOI arXiv OpenURL
Mokhov, O. I.; Strizhova, N. A. On the Liouville integrable reduction of the associativity equations in the case of three primary fields. (English) Zbl 1481.37076 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 317-336 (2021). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K30 37J35 53D45 PDF BibTeX XML Cite \textit{O. I. Mokhov} and \textit{N. A. Strizhova}, Proc. Symp. Pure Math. 103, 317--336 (2021; Zbl 1481.37076) OpenURL
Magri, Franco The Kowalewski separability conditions. (English) Zbl 1478.37059 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 297-315 (2021). MSC: 37J35 37J38 37J39 70H06 70H20 53D17 PDF BibTeX XML Cite \textit{F. Magri}, Proc. Symp. Pure Math. 103, 297--315 (2021; Zbl 1478.37059) OpenURL
van der Kamp, Peter H.; McLaren, David I.; Quispel, G. R. W. Generalised Manin transformations and QRT maps. (English) Zbl 1467.14037 J. Comput. Dyn. 8, No. 2, 183-211 (2021). MSC: 14E05 14H70 14H81 37E30 39B12 37J35 PDF BibTeX XML Cite \textit{P. H. van der Kamp} et al., J. Comput. Dyn. 8, No. 2, 183--211 (2021; Zbl 1467.14037) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Tian, Yuzhou Generalized analytic integrability of a class of polynomial differential systems in \(\mathbb{C}^2\). (English) Zbl 1482.37027 Acta Appl. Math. 173, Paper No. 1, 17 p. (2021). Reviewer: Valentine Tyshchenko (Grodno) MSC: 37C79 37J35 34C14 34A05 34M04 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{Y. Tian}, Acta Appl. Math. 173, Paper No. 1, 17 p. (2021; Zbl 1482.37027) Full Text: DOI OpenURL
De Meulenaere, Annelies; Hohloch, Sonja A family of semitoric systems with four focus-focus singularities and two double pinched tori. (English) Zbl 07376467 J. Nonlinear Sci. 31, No. 4, Paper No. 66, 56 p. (2021). MSC: 37J20 37J35 37J37 70H06 70H33 PDF BibTeX XML Cite \textit{A. De Meulenaere} and \textit{S. Hohloch}, J. Nonlinear Sci. 31, No. 4, Paper No. 66, 56 p. (2021; Zbl 07376467) Full Text: DOI arXiv OpenURL
Veselov, A. P.; Wu, L. H. Geodesic scattering on hyperboloids and Knörrer’s map. (English) Zbl 1471.53066 Nonlinearity 34, No. 9, 5926-5954 (2021). MSC: 53D25 37J35 53A20 PDF BibTeX XML Cite \textit{A. P. Veselov} and \textit{L. H. Wu}, Nonlinearity 34, No. 9, 5926--5954 (2021; Zbl 1471.53066) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C. Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator. (English) Zbl 1475.37057 J. Dyn. Control Syst. 27, No. 3, 491-506 (2021). MSC: 37G15 34C25 34C37 37J40 37J35 70K50 70K60 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Dyn. Control Syst. 27, No. 3, 491--506 (2021; Zbl 1475.37057) Full Text: DOI OpenURL
Błaszak, Maciej; Marciniak, Krzysztof; Sergyeyev, Artur Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems. (English) Zbl 07371592 Rep. Math. Phys. 87, No. 2, 249-263 (2021). MSC: 37J65 37J37 37J35 17B80 PDF BibTeX XML Cite \textit{M. Błaszak} et al., Rep. Math. Phys. 87, No. 2, 249--263 (2021; Zbl 07371592) Full Text: DOI arXiv OpenURL
Nackan, Danny; Speciel, Romain Continuous limits of generalized pentagram maps. (English) Zbl 07371409 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 07371409) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Saeed, Tareq; Zotos, Euaggelos E. Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system. (English) Zbl 1481.37071 J. Geom. Phys. 167, Article ID 104290, 12 p. (2021). Reviewer: Armengol Gasull (Barcelona) MSC: 37J46 37J35 37J25 34C29 34C25 70H06 70H07 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Geom. Phys. 167, Article ID 104290, 12 p. (2021; Zbl 1481.37071) Full Text: DOI OpenURL
Prokofev, V.; Zabrodin, A. Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. (English) Zbl 1475.37074 J. Math. Phys. 62, No. 6, 061502, 20 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 37K10 37K20 37J35 PDF BibTeX XML Cite \textit{V. Prokofev} and \textit{A. Zabrodin}, J. Math. Phys. 62, No. 6, 061502, 20 p. (2021; Zbl 1475.37074) Full Text: DOI arXiv OpenURL
Correa, Eder M.; Grama, Lino Lax formalism for Gelfand-Tsetlin integrable systems. (English) Zbl 1479.37063 Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37J37 37J39 37J35 17B80 14H70 PDF BibTeX XML Cite \textit{E. M. Correa} and \textit{L. Grama}, Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021; Zbl 1479.37063) Full Text: DOI arXiv OpenURL
Cho, Yunhyung; Kim, Yoosik; Oh, Yong-Geun A critical point analysis of Landau-Ginzburg potentials with bulk in Gelfand-Cetlin systems. (English) Zbl 1476.53105 Kyoto J. Math. 61, No. 2, 259-304 (2021). MSC: 53D40 14M15 37J35 53D12 35Q56 PDF BibTeX XML Cite \textit{Y. Cho} et al., Kyoto J. Math. 61, No. 2, 259--304 (2021; Zbl 1476.53105) Full Text: DOI arXiv 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
Jain, M.; Bamal, B.; Jain, S. R. Limit distribution of the nodal domain number for the right-isosceles triangle billiard. (English. Russian original) Zbl 1473.37035 Theor. Math. Phys. 207, No. 1, 483-486 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 99-103 (2021). MSC: 37C83 37J35 PDF BibTeX XML Cite \textit{M. Jain} et al., Theor. Math. Phys. 207, No. 1, 483--486 (2021; Zbl 1473.37035); translation from Teor. Mat. Fiz. 207, No. 1, 99--103 (2021) Full Text: DOI OpenURL
Aziz, Waleed; Amen, Azad; Pantazi, Chara Integrability and linearizability of a family of three-dimensional quadratic systems. (English) Zbl 1472.37060 Dyn. Syst. 36, No. 2, 317-331 (2021). MSC: 37J35 37J39 37C79 PDF BibTeX XML Cite \textit{W. Aziz} et al., Dyn. Syst. 36, No. 2, 317--331 (2021; Zbl 1472.37060) Full Text: DOI OpenURL
Mazrooei-Sebdani, Reza; Yousefi, Zahra The coupled 1:2 resonance in a symmetric case and parametric amplification model. (English) Zbl 1471.37060 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3737-3765 (2021). MSC: 37J40 37J35 70K30 70H05 70H06 PDF BibTeX XML Cite \textit{R. Mazrooei-Sebdani} and \textit{Z. Yousefi}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3737--3765 (2021; Zbl 1471.37060) Full Text: DOI OpenURL
Calini, Annalisa; Ivey, Thomas Integrable geometric flows for curves in pseudoconformal \(S^3\). (English) Zbl 1476.53110 J. Geom. Phys. 166, Article ID 104249, 17 p. (2021). MSC: 53E10 37J35 53A40 PDF BibTeX XML Cite \textit{A. Calini} and \textit{T. Ivey}, J. Geom. Phys. 166, Article ID 104249, 17 p. (2021; Zbl 1476.53110) Full Text: DOI arXiv OpenURL
Fedorov, Yuri; Jovanović, Božidar Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems. (English) Zbl 1469.70010 Discrete Contin. Dyn. Syst. 41, No. 6, 2559-2599 (2021). MSC: 70H06 37J35 14H70 17B80 37K10 70H33 70H45 PDF BibTeX XML Cite \textit{Y. Fedorov} and \textit{B. Jovanović}, Discrete Contin. Dyn. Syst. 41, No. 6, 2559--2599 (2021; Zbl 1469.70010) Full Text: DOI arXiv OpenURL
Shi, Hua; Zhang, Xiang; Zhang, Yuyan Complex planar Hamiltonian systems: linearization and dynamics. (English) Zbl 1478.37061 Discrete Contin. Dyn. Syst. 41, No. 7, 3295-3317 (2021). Reviewer: Jie Liu (Jiaozuo) MSC: 37J38 37J46 37J35 37J40 PDF BibTeX XML Cite \textit{H. Shi} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3295--3317 (2021; Zbl 1478.37061) Full Text: DOI OpenURL
Sokolov, Vladimir V. Non-Abelian \(\mathfrak{so}_3\) Euler top. (English. Russian original) Zbl 1477.34034 Russ. Math. Surv. 76, No. 1, 183-185 (2021); translation from Usp. Mat. Nauk 76, No. 1, 195-196 (2021). MSC: 34A34 34C14 34A05 37J35 70H06 PDF BibTeX XML Cite \textit{V. V. Sokolov}, Russ. Math. Surv. 76, No. 1, 183--185 (2021; Zbl 1477.34034); translation from Usp. Mat. Nauk 76, No. 1, 195--196 (2021) Full Text: DOI arXiv OpenURL
Wei, Pingyuan; Wang, Zibo Formulation of stochastic contact Hamiltonian systems. (English) Zbl 1460.37063 Chaos 31, No. 4, 041101, 5 p. (2021). MSC: 37J55 37H05 37J35 PDF BibTeX XML Cite \textit{P. Wei} and \textit{Z. Wang}, Chaos 31, No. 4, 041101, 5 p. (2021; Zbl 1460.37063) Full Text: DOI arXiv OpenURL
Pustovoitov, Sergey E. Topological analysis of a billiard bounded by confocal quadrics in a potential field. (English. Russian original) Zbl 1468.37028 Sb. Math. 212, No. 2, 211-233 (2021); translation from Mat. Sb. 212, No. 2, 81-105 (2021). MSC: 37C83 37J35 37J39 PDF BibTeX XML Cite \textit{S. E. Pustovoitov}, Sb. Math. 212, No. 2, 211--233 (2021; Zbl 1468.37028); translation from Mat. Sb. 212, No. 2, 81--105 (2021) Full Text: DOI OpenURL
Felder, Giovanni Poncelet property and quasi-periodicity of the integrable Boltzmann system. (English) Zbl 1475.37062 Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021). MSC: 37J35 37J40 37J38 14H70 82B23 PDF BibTeX XML Cite \textit{G. Felder}, Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021; Zbl 1475.37062) Full Text: DOI arXiv OpenURL
Fomenko, A. T.; Vedyushkina, V. V.; Zav’yalov, V. N. Liouville foliations of topological billiards with slipping. (English) Zbl 1469.37045 Russ. J. Math. Phys. 28, No. 1, 37-55 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{A. T. Fomenko} et al., Russ. J. Math. Phys. 28, No. 1, 37--55 (2021; Zbl 1469.37045) Full Text: DOI OpenURL
Glutsyuk, Alexei; Izmestiev, Ivan; Tabachnikov, Serge Four equivalent properties of integrable billiards. (English) Zbl 1470.37079 Isr. J. Math. 241, No. 2, 693-719 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37C83 37D40 PDF BibTeX XML Cite \textit{A. Glutsyuk} et al., Isr. J. Math. 241, No. 2, 693--719 (2021; Zbl 1470.37079) Full Text: DOI arXiv OpenURL
Alonso, Jaume; Hohloch, Sonja The height invariant of a four-parameter semitoric system with two focus-focus singularities. (English) Zbl 1469.37043 J. Nonlinear Sci. 31, No. 3, Paper No. 51, 32 p. (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J39 53D20 70H06 PDF BibTeX XML Cite \textit{J. Alonso} and \textit{S. Hohloch}, J. Nonlinear Sci. 31, No. 3, Paper No. 51, 32 p. (2021; Zbl 1469.37043) Full Text: DOI arXiv OpenURL
Yang, Cheng Vortex motion of the Euler and lake equations. (English) Zbl 1470.37080 J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021). Reviewer: Xiang Yu (Chengdu) MSC: 37J35 37J30 37N05 70F10 PDF BibTeX XML Cite \textit{C. Yang}, J. Nonlinear Sci. 31, No. 3, Paper No. 48, 21 p. (2021; Zbl 1470.37080) Full Text: DOI arXiv OpenURL
Pnueli, M.; Rom-Kedar, V. On the structure of Hamiltonian impact systems. (English) Zbl 1470.37082 Nonlinearity 34, No. 4, 2611-2658 (2021). MSC: 37J39 37J30 37J40 37J35 70H06 PDF BibTeX XML Cite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, Nonlinearity 34, No. 4, 2611--2658 (2021; Zbl 1470.37082) Full Text: DOI arXiv OpenURL
Haghighatdoost, Ghorbanali; Abdolhadi-Zangakani, Salahaddin; Mahjoubi-Bahman, Rasoul Some bi-Hamiltonian systems and their separation of variables on 4-dimensional real Lie groups. (English) Zbl 1474.53317 Sahand Commun. Math. Anal. 18, No. 1, 89-105 (2021). MSC: 53D20 37J35 70H06 34B24 34B27 PDF BibTeX XML Cite \textit{G. Haghighatdoost} et al., Sahand Commun. Math. Anal. 18, No. 1, 89--105 (2021; Zbl 1474.53317) Full Text: DOI OpenURL
Ramis, Jean-Pierre Hiroshi Umemura and French mathematics. (Hiroshi Umemura et les mathématiques françaises.) (French. English summary) Zbl 07335310 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007-1052 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A55 12-03 34-03 12H05 12H20 34M55 12H10 34M15 01A70 37J30 39A13 58H05 34M35 37F10 37J35 34-02 58B34 01A60 14D20 16T15 34A34 01A75 34A30 34M40 34M99 35Q99 00B25 14F10 33D15 34A25 37C85 39A12 57R30 58A17 00A30 01-01 05A30 11F03 11J81 14-03 16-XX 30-06 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007--1052 (2021; Zbl 07335310) Full Text: DOI OpenURL
Carpentier, Sylvain; Suh, Uhi Rinn Supersymmetric bi-Hamiltonian systems. (English) Zbl 1466.35311 Commun. Math. Phys. 382, No. 1, 317-350 (2021). MSC: 35Q53 17B67 17B80 17B69 37J35 37K10 81R15 PDF BibTeX XML Cite \textit{S. Carpentier} and \textit{U. R. Suh}, Commun. Math. Phys. 382, No. 1, 317--350 (2021; Zbl 1466.35311) Full Text: DOI arXiv OpenURL
Latini, Danilo; Marquette, Ian; Zhang, Yao-Zhong Embedding of the Racah algebra \(R(n)\) and superintegrability. (English) Zbl 1457.37077 Ann. Phys. 426, Article ID 168397, 17 p. (2021). MSC: 37J37 37J35 81R12 PDF BibTeX XML Cite \textit{D. Latini} et al., Ann. Phys. 426, Article ID 168397, 17 p. (2021; Zbl 1457.37077) Full Text: DOI arXiv OpenURL