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
Mobasheramini, Fatane; Bertola, Marco Quantization of Calogero-Painlevé system and multi-particle quantum Painlevé equations II-VI. (English) Zbl 1477.37070 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021). MSC: 37J65 37J38 37J70 34M55 81R12 81S08 PDF BibTeX XML Cite \textit{F. Mobasheramini} and \textit{M. Bertola}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021; Zbl 1477.37070) Full Text: DOI arXiv OpenURL
Dzhamay, Anton; Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander Hamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlevé equation. (English) Zbl 1481.37063 Appl. Math. Lett. 120, Article ID 107248, 7 p. (2021). MSC: 37J38 37J06 37J65 37J11 33C45 PDF BibTeX XML Cite \textit{A. Dzhamay} et al., Appl. Math. Lett. 120, Article ID 107248, 7 p. (2021; Zbl 1481.37063) Full Text: DOI OpenURL
Cerveau, Dominique; Scárdua, Bruno Integrable deformations of foliations: a generalization of Ilyashenko’s result. (English) Zbl 1481.37050 Mosc. Math. J. 21, No. 2, 271-286 (2021). MSC: 37F75 57R30 32M25 32S65 37J38 PDF BibTeX XML Cite \textit{D. Cerveau} and \textit{B. Scárdua}, Mosc. Math. J. 21, No. 2, 271--286 (2021; Zbl 1481.37050) Full Text: arXiv Link 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
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
Khanevsky, Michael Non-autonomous curves on surfaces. (English) Zbl 1478.37065 J. Mod. Dyn. 17, 305-317 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37J65 37J38 37J39 37C05 37E35 PDF BibTeX XML Cite \textit{M. Khanevsky}, J. Mod. Dyn. 17, 305--317 (2021; Zbl 1478.37065) Full Text: DOI arXiv 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
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
Deaño, Alfredo; Eijsvoogel, Bruno; Román, Pablo Ladder relations for a class of matrix valued orthogonal polynomials. (English) Zbl 1471.37065 Stud. Appl. Math. 146, No. 2, 463-497 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K30 37K20 39A70 33C45 37J38 PDF BibTeX XML Cite \textit{A. Deaño} et al., Stud. Appl. Math. 146, No. 2, 463--497 (2021; Zbl 1471.37065) Full Text: DOI arXiv OpenURL
Xu, Xiaoxue; Jiang, Mengmeng; Nijhoff, Frank W. Integrable symplectic maps associated with discrete Korteweg-de Vries-type equations. (English) Zbl 1476.37080 Stud. Appl. Math. 146, No. 1, 233-278 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37J11 37J38 37K10 39A14 39A36 PDF BibTeX XML Cite \textit{X. Xu} et al., Stud. Appl. Math. 146, No. 1, 233--278 (2021; Zbl 1476.37080) Full Text: DOI arXiv OpenURL
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
Petrera, Matteo; Suris, Yuri B.; Wei, Kangning; Zander, René Manin involutions for elliptic pencils and discrete integrable systems. (English) Zbl 07345856 Math. Phys. Anal. Geom. 24, No. 1, Paper No. 6, 26 p. (2021). MSC: 37J70 37J38 39A36 14H70 14H45 14E05 14E07 PDF BibTeX XML Cite \textit{M. Petrera} et al., Math. Phys. Anal. Geom. 24, No. 1, Paper No. 6, 26 p. (2021; Zbl 07345856) Full Text: DOI arXiv OpenURL
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
de la Llave, Rafael; Xu, Lu Whiskered tori for presymplectic dynamical systems. (English) Zbl 1460.37059 J. Dyn. Differ. Equations 33, No. 1, 1-34 (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 37J38 70K43 53D05 53D22 70H15 PDF BibTeX XML Cite \textit{R. de la Llave} and \textit{L. Xu}, J. Dyn. Differ. Equations 33, No. 1, 1--34 (2021; Zbl 1460.37059) Full Text: DOI OpenURL
Gasiorek, Sean; Radnović, Milena Pseudo-Euclidean billiards within confocal curves on the hyperboloid of one sheet. (English) Zbl 1464.14036 J. Geom. Phys. 161, Article ID 104032, 22 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 37J35 70H06 70H12 37J38 37J39 37J46 PDF BibTeX XML Cite \textit{S. Gasiorek} and \textit{M. Radnović}, J. Geom. Phys. 161, Article ID 104032, 22 p. (2021; Zbl 1464.14036) Full Text: DOI arXiv OpenURL
Fairon, M.; Fehér, L.; Marshall, I. Trigonometric real form of the spin RS model of Krichever and Zabrodin. (English) Zbl 1468.37047 Ann. Henri Poincaré 22, No. 2, 615-675 (2021). MSC: 37J35 37J39 37J37 37J38 70H06 53D17 53D20 PDF BibTeX XML Cite \textit{M. Fairon} et al., Ann. Henri Poincaré 22, No. 2, 615--675 (2021; Zbl 1468.37047) Full Text: DOI arXiv OpenURL
Chern, Albert; Knöppel, Felix; Pedit, Franz; Pinkall, Ulrich Commuting Hamiltonian flows of curves in real space forms. (English) Zbl 07425929 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, 291-328 (2020). MSC: 37K20 37K10 37K35 37J35 37J38 37J39 PDF BibTeX XML Cite \textit{A. Chern} et al., Lond. Math. Soc. Lect. Note Ser. 458, 291--328 (2020; Zbl 07425929) Full Text: arXiv Link OpenURL
Retakh, Vladimir; Rubtsov, Vladimir; Sharygin, Georgy Noncommutative cross-ratio and Schwarz derivative. (English) Zbl 07425916 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 499-528 (2020). MSC: 37J39 37J38 37J35 14A22 14H70 47L55 PDF BibTeX XML Cite \textit{V. Retakh} et al., Lond. Math. Soc. Lect. Note Ser. 459, 499--528 (2020; Zbl 07425916) Full Text: arXiv Link OpenURL
Bates, L. M.; Churchill, R. C. A primer on Lax pairs. (English) Zbl 07425910 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 346-366 (2020). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J35 37J38 37J39 PDF BibTeX XML Cite \textit{L. M. Bates} and \textit{R. C. Churchill}, Lond. Math. Soc. Lect. Note Ser. 459, 346--366 (2020; Zbl 07425910) Full Text: Link OpenURL
Françoise, Jean-Pierre; Tarama, Daisuke The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 07425908 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020). MSC: 37J35 37J39 37J38 70E40 14J28 14H70 PDF BibTeX XML Cite \textit{J.-P. Françoise} and \textit{D. Tarama}, Lond. Math. Soc. Lect. Note Ser. 459, 288--312 (2020; Zbl 07425908) Full Text: arXiv Link OpenURL
Dragović, Vladimir; Radnović, Milena Periodic trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space. (English) Zbl 1464.37063 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 159-174 (2020). MSC: 37J46 37J38 37C35 37C83 PDF BibTeX XML Cite \textit{V. Dragović} and \textit{M. Radnović}, Springer Proc. Math. Stat. 338, 159--174 (2020; Zbl 1464.37063) Full Text: DOI arXiv OpenURL
Tsiganov, Andreĭ Vladimirovich On the Mishchenko-Fomenko hypothesis for a generalized oscillator and Kepler system. (Russian. English summary) Zbl 1462.37069 Chebyshevskiĭ Sb. 21, No. 2(74), 383-402 (2020). MSC: 37J38 37J35 70F05 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Chebyshevskiĭ Sb. 21, No. 2(74), 383--402 (2020; Zbl 1462.37069) Full Text: DOI MNR OpenURL
Bastien, Guy; Rogalski, Marc Dynamical systems associated with QRT families of degree four biquadratic curves each of them with genus zero. (English) Zbl 1474.37080 Sarajevo J. Math. 16(29), No. 2, 187-199 (2020). MSC: 37J70 37J38 14E05 14H70 PDF BibTeX XML Cite \textit{G. Bastien} and \textit{M. Rogalski}, Sarajevo J. Math. 16(29), No. 2, 187--199 (2020; Zbl 1474.37080) Full Text: DOI OpenURL
Borisova, P. I.; Sheinman, O. K. Hitchin systems on hyperelliptic curves. (English. Russian original) Zbl 1471.37059 Proc. Steklov Inst. Math. 311, 22-35 (2020); translation from Tr. Mat. Inst. Steklova 311, 27-40 (2020). MSC: 37J38 37J39 14H70 PDF BibTeX XML Cite \textit{P. I. Borisova} and \textit{O. K. Sheinman}, Proc. Steklov Inst. Math. 311, 22--35 (2020; Zbl 1471.37059); translation from Tr. Mat. Inst. Steklova 311, 27--40 (2020) Full Text: DOI arXiv OpenURL
Lapik, M. A. Dynamics of supports of extremal measures in the field of a point charge. (English. Russian original) Zbl 1462.37067 Math. Notes 108, No. 5, 752-755 (2020); translation from Mat. Zametki 108, No. 5, 787-790 (2020). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J38 70H06 PDF BibTeX XML Cite \textit{M. A. Lapik}, Math. Notes 108, No. 5, 752--755 (2020; Zbl 1462.37067); translation from Mat. Zametki 108, No. 5, 787--790 (2020) Full Text: DOI OpenURL
Tsiganov, A. V. Reduction of divisors for classical superintegrable \(\mathrm{GL}(3)\) magnetic chain. (English) Zbl 1455.14070 J. Math. Phys. 61, No. 11, 112703, 11 p. (2020). MSC: 14H70 14H40 37J38 70H06 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, J. Math. Phys. 61, No. 11, 112703, 11 p. (2020; Zbl 1455.14070) Full Text: DOI arXiv OpenURL
Li, Feng; Jin, Yinlai; Tian, Yun; Yu, Pei Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points. (English) Zbl 1450.37052 J. Differ. Equations 269, No. 10, 9026-9049 (2020). Reviewer: Alexander Grin (Grodno) MSC: 37J35 37J38 34C05 34C07 PDF BibTeX XML Cite \textit{F. Li} et al., J. Differ. Equations 269, No. 10, 9026--9049 (2020; Zbl 1450.37052) Full Text: DOI OpenURL
Atai, Farrokh; Langmann, Edwin Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation. (English) Zbl 1445.37043 J. Integrable Syst. 5, Article ID xyaa001, 26 p. (2020). MSC: 37J38 37J35 37K10 33E30 81Q80 PDF BibTeX XML Cite \textit{F. Atai} and \textit{E. Langmann}, J. Integrable Syst. 5, Article ID xyaa001, 26 p. (2020; Zbl 1445.37043) Full Text: DOI arXiv OpenURL
Mourão, José M.; Nunes, João P.; Pereira, Miguel B. Partial coherent state transforms, \(G\times T\)-invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups. (English) Zbl 1440.53102 Adv. Math. 368, Article ID 107139, 36 p. (2020). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53C30 53E50 37J37 37J38 37J39 PDF BibTeX XML Cite \textit{J. M. Mourão} et al., Adv. Math. 368, Article ID 107139, 36 p. (2020; Zbl 1440.53102) Full Text: DOI arXiv OpenURL
Tsiganov, A. V. Superintegrable systems and Riemann-Roch theorem. (English) Zbl 1437.37070 J. Math. Phys. 61, No. 1, 012701, 14 p. (2020). MSC: 37J38 37J39 14C40 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, J. Math. Phys. 61, No. 1, 012701, 14 p. (2020; Zbl 1437.37070) Full Text: DOI arXiv OpenURL
Sokolov, V.; Wolf, T. Non-commutative generalization of integrable quadratic ODE systems. (English) Zbl 1437.37069 Lett. Math. Phys. 110, No. 3, 533-553 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J38 14H70 46L55 PDF BibTeX XML Cite \textit{V. Sokolov} and \textit{T. Wolf}, Lett. Math. Phys. 110, No. 3, 533--553 (2020; Zbl 1437.37069) Full Text: DOI arXiv OpenURL
Yamakawa, Daisuke Fundamental two-forms for isomonodromic deformations. (English) Zbl 1481.37064 J. Integrable Syst. 4, Article ID xyz009, 35 p. (2019). MSC: 37J38 37J65 34M56 PDF BibTeX XML Cite \textit{D. Yamakawa}, J. Integrable Syst. 4, Article ID xyz009, 35 p. (2019; Zbl 1481.37064) Full Text: DOI OpenURL
Bialy, M.; Mironov, A. E. Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane. (English. Russian original) Zbl 1439.37054 Russ. Math. Surv. 74, No. 2, 187-209 (2019); translation from Usp. Mat. Nauk 74, No. 2, 3-26 (2019). MSC: 37J30 37J35 37J38 37C83 PDF BibTeX XML Cite \textit{M. Bialy} and \textit{A. E. Mironov}, Russ. Math. Surv. 74, No. 2, 187--209 (2019; Zbl 1439.37054); translation from Usp. Mat. Nauk 74, No. 2, 3--26 (2019) Full Text: DOI arXiv OpenURL
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. (English) Zbl 1436.37036 Regul. Chaotic Dyn. 24, No. 5, 464-501 (2019). MSC: 37C83 37J38 37J35 14H70 41A10 70H06 PDF BibTeX XML Cite \textit{A. K. Adabrah} et al., Regul. Chaotic Dyn. 24, No. 5, 464--501 (2019; Zbl 1436.37036) Full Text: DOI arXiv OpenURL
Remling, Christian Toda maps, cocycles, and canonical systems. (English) Zbl 1434.37037 J. Spectr. Theory 9, No. 4, 1327-1365 (2019). MSC: 37J38 37J35 34L40 47B36 PDF BibTeX XML Cite \textit{C. Remling}, J. Spectr. Theory 9, No. 4, 1327--1365 (2019; Zbl 1434.37037) Full Text: DOI arXiv OpenURL
Belavin, Vladimir; Haraoka, Yoshishige; Santachiara, Raoul Rigid Fuchsian systems in 2-dimensional conformal field theories. (English) Zbl 1435.37083 Commun. Math. Phys. 365, No. 1, 17-60 (2019). Reviewer: Laure Gouba (Trieste) MSC: 37J37 37J38 81T40 34M03 17B68 34M15 PDF BibTeX XML Cite \textit{V. Belavin} et al., Commun. Math. Phys. 365, No. 1, 17--60 (2019; Zbl 1435.37083) Full Text: DOI arXiv OpenURL
Kazemi, Rasool Monotonicity of the ratio of two abelian integrals for a class of symmetric hyperelliptic Hamiltonian systems. (English) Zbl 1464.37060 J. Appl. Anal. Comput. 8, No. 1, 344-355 (2018). Reviewer: Maite Grau (Lleida) MSC: 37J38 37J46 37J20 34C08 33C75 33E05 PDF BibTeX XML Cite \textit{R. Kazemi}, J. Appl. Anal. Comput. 8, No. 1, 344--355 (2018; Zbl 1464.37060) Full Text: DOI OpenURL
Tsiganov, A. V. Bäcklund transformations and new integrable systems on the plane. (English) Zbl 1428.37056 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, 47-74 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J38 37J35 14H70 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Springer Proc. Math. Stat. 273, 47--74 (2018; Zbl 1428.37056) Full Text: DOI OpenURL
Kim, Seongchan On a convex embedding of the Euler problem of two fixed centers. (English) Zbl 1442.37075 Regul. Chaotic Dyn. 23, No. 3, 304-324 (2018). MSC: 37J39 37J38 37J11 37N05 70F05 PDF BibTeX XML Cite \textit{S. Kim}, Regul. Chaotic Dyn. 23, No. 3, 304--324 (2018; Zbl 1442.37075) Full Text: DOI arXiv OpenURL
Dragović, Vladimir Discriminantly separable polynomials: an overview. (English) Zbl 1461.37061 Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75-97 (2015). MSC: 37J38 37J70 37J35 37K60 37J37 PDF BibTeX XML Cite \textit{V. Dragović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75--97 (2015; Zbl 1461.37061) OpenURL
Ekeland, Ivar; Hofer, Helmut Symplectic topology and Hamiltonian dynamics. II. (English) Zbl 0729.53039 Math. Z. 203, No. 4, 553-567 (1990). Reviewer: Hans Günter Bothe (Berlin) MSC: 53C15 37J06 37J38 PDF BibTeX XML Cite \textit{I. Ekeland} and \textit{H. Hofer}, Math. Z. 203, No. 4, 553--567 (1990; Zbl 0729.53039) Full Text: DOI EuDML OpenURL