Dubois, J.; Jorba-Cuscó, M.; Jorba, À.; Chandre, C. Dynamical organization of recollisions by a family of invariant tori. (English) Zbl 07484042 SIAM J. Appl. Dyn. Syst. 21, No. 1, 523-541 (2022). MSC: 37J06 37J65 37M21 70H12 PDF BibTeX XML Cite \textit{J. Dubois} et al., SIAM J. Appl. Dyn. Syst. 21, No. 1, 523--541 (2022; Zbl 07484042) Full Text: DOI arXiv OpenURL
Dzhamay, Anton; Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander On Hamiltonians related to the second Painlevé equation. (English) Zbl 07491556 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 73-84 (2021). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 37J65 PDF BibTeX XML Cite \textit{A. Dzhamay} et al., in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 73--84 (2021; Zbl 07491556) Full Text: DOI OpenURL
Nishigaki, Shinsuke M. Tracy-Widom method for Jánossy density and joint distribution of extremal eigenvalues of random matrices. (English) Zbl 1480.60130 PTEP, Prog. Theor. Exper. Phys. 2021, No. 11, Article ID 113A01, 17 p. (2021). MSC: 60G55 15A18 15B52 37J65 PDF BibTeX XML Cite \textit{S. M. Nishigaki}, PTEP, Prog. Theor. Exper. Phys. 2021, No. 11, Article ID 113A01, 17 p. (2021; Zbl 1480.60130) Full Text: DOI arXiv OpenURL
Cho, Yunhyung; Kim, Yoosik Monotone Lagrangians in flag varieties. (English) Zbl 07456413 Int. Math. Res. Not. 2021, No. 18, 13892-13945 (2021). MSC: 14J33 14M15 37J65 53D12 PDF BibTeX XML Cite \textit{Y. Cho} and \textit{Y. Kim}, Int. Math. Res. Not. 2021, No. 18, 13892--13945 (2021; Zbl 07456413) Full Text: DOI arXiv OpenURL
Mobasheramini, Fatane; Bertola, Marco Quantization of Calogero-Painlevé system and multi-particle quantum Painlevé equations II-VI. (English) Zbl 1477.37070 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021). MSC: 37J65 37J38 37J70 34M55 81R12 81S08 PDF BibTeX XML Cite \textit{F. Mobasheramini} and \textit{M. Bertola}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 081, 25 p. (2021; Zbl 1477.37070) Full Text: DOI arXiv OpenURL
Moriyama, Sanefumi; Yamada, Yasuhiko Quantum representation of affine Weyl groups and associated quantum curves. (English) Zbl 1476.39008 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 076, 24 p. (2021). MSC: 39A13 39A36 37J65 34M55 PDF BibTeX XML Cite \textit{S. Moriyama} and \textit{Y. Yamada}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 076, 24 p. (2021; Zbl 1476.39008) 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
Zhu, Mengkun; Wang, Dan; Chen, Yang Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities. (English) Zbl 1472.37062 Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021). MSC: 37J37 37J65 34M55 15B52 42C05 33E17 PDF BibTeX XML Cite \textit{M. Zhu} et al., Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021; Zbl 1472.37062) Full Text: DOI 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
Cafasso, Mattia; Claeys, Tom; Ruzza, Giulio Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations. (English) Zbl 1477.37080 Commun. Math. Phys. 386, No. 2, 1107-1153 (2021). Reviewer: Andrei Pranevich (Grodno) MSC: 37K40 37J65 35Q53 34M55 45J05 15B52 60B20 PDF BibTeX XML Cite \textit{M. Cafasso} et al., Commun. Math. Phys. 386, No. 2, 1107--1153 (2021; Zbl 1477.37080) Full Text: DOI arXiv OpenURL
Kels, Andrew P.; Yamazaki, Masahito Lens generalisation of \(\tau\)-functions for the elliptic discrete Painlevé equation. (English) Zbl 1480.37076 Int. Math. Res. Not. 2021, No. 1, 110-151 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J70 37J65 37J37 39A36 11F27 33C80 33E05 34M55 PDF BibTeX XML Cite \textit{A. P. Kels} and \textit{M. Yamazaki}, Int. Math. Res. Not. 2021, No. 1, 110--151 (2021; Zbl 1480.37076) Full Text: DOI arXiv OpenURL
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
Tsegel’nik, V. V. Properties of solutions of two second-order differential equations with the Painlevé property. (English. Russian original) Zbl 1476.37079 Theor. Math. Phys. 206, No. 3, 315-320 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 361-367 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J65 34M55 34M25 PDF BibTeX XML Cite \textit{V. V. Tsegel'nik}, Theor. Math. Phys. 206, No. 3, 315--320 (2021; Zbl 1476.37079); translation from Teor. Mat. Fiz. 206, No. 3, 361--367 (2021) Full Text: DOI OpenURL
Gómez-Ullate, David; Grandati, Yves; Milson, Robert Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems. (English) Zbl 1472.37067 Adv. Math. 385, Article ID 107770, 51 p. (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J65 34M05 34M55 PDF BibTeX XML Cite \textit{D. Gómez-Ullate} et al., Adv. Math. 385, Article ID 107770, 51 p. (2021; Zbl 1472.37067) Full Text: DOI arXiv OpenURL
Mase, Takafumi; Nakamura, Akane; Sakai, Hidetaka Discrete Hamiltonians of discrete Painlevé equations. (English. French summary) Zbl 1467.39010 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1251-1264 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 39A12 34M55 37J65 37J70 37K60 PDF BibTeX XML Cite \textit{T. Mase} et al., Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1251--1264 (2021; Zbl 1467.39010) Full Text: DOI arXiv OpenURL
Liu, Nan; Guo, Boling Painlevé-type asymptotics of an extended modified KdV equation in transition regions. (English) Zbl 1475.37077 J. Differ. Equations 280, 203-235 (2021). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K40 35Q53 37J65 34M55 PDF BibTeX XML Cite \textit{N. Liu} and \textit{B. Guo}, J. Differ. Equations 280, 203--235 (2021; Zbl 1475.37077) Full Text: DOI OpenURL
Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 1458.37073 J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16 PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 1458.37073) Full Text: DOI arXiv OpenURL
Jay, Laurent O. Symplecticness conditions of some low order partitioned methods for non-autonomous Hamiltonian systems. (English) Zbl 1458.65086 Numer. Algorithms 86, No. 2, 495-514 (2021). MSC: 65P10 65L06 37J65 37M15 PDF BibTeX XML Cite \textit{L. O. Jay}, Numer. Algorithms 86, No. 2, 495--514 (2021; Zbl 1458.65086) Full Text: DOI OpenURL
Chekhov, Leonid; Mazzocco, Marta; Rubtsov, Vladimir Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras. (English) Zbl 07282544 Adv. Math. 376, Article ID 107442, 53 p. (2021). MSC: 14A22 32G34 37J65 53D55 17B63 20C08 PDF BibTeX XML Cite \textit{L. Chekhov} et al., Adv. Math. 376, Article ID 107442, 53 p. (2021; Zbl 07282544) Full Text: DOI arXiv Link OpenURL
Min, Chao; Chen, Yang Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight. (English) Zbl 1479.37068 Nucl. Phys., B 961, Article ID 115221, 25 p. (2020). MSC: 37J65 15B52 15B05 15A15 PDF BibTeX XML Cite \textit{C. Min} and \textit{Y. Chen}, Nucl. Phys., B 961, Article ID 115221, 25 p. (2020; Zbl 1479.37068) Full Text: DOI arXiv OpenURL
Noumi, Masatoshi On some explicit representations of the elliptic Painlevé equation. (English) Zbl 1464.37066 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, 191-212 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J65 34M04 34M25 34M55 PDF BibTeX XML Cite \textit{M. Noumi}, Springer Proc. Math. Stat. 338, 191--212 (2020; Zbl 1464.37066) Full Text: DOI OpenURL
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 1457.39006 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDF BibTeX XML Cite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 1457.39006) Full Text: Link OpenURL
Min, Chao; Chen, Yang Painlevé VI, Painlevé III, and the Hankel determinant associated with a degenerate Jacobi unitary ensemble. (English) Zbl 1453.15015 Math. Methods Appl. Sci. 43, No. 15, 9169-9184 (2020). MSC: 15B52 37J65 33E17 PDF BibTeX XML Cite \textit{C. Min} and \textit{Y. Chen}, Math. Methods Appl. Sci. 43, No. 15, 9169--9184 (2020; Zbl 1453.15015) Full Text: DOI arXiv OpenURL
Gjata, Oltiana; Zanolin, Fabio An example of chaotic dynamics for the motion of a charged particle in a magnetic field. (English) Zbl 1453.34063 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 112091, 18 p. (2020). Reviewer: Aleksandra Tutueva (St. Petersburg) MSC: 34C28 34C25 34C05 37C60 37J65 PDF BibTeX XML Cite \textit{O. Gjata} and \textit{F. Zanolin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 112091, 18 p. (2020; Zbl 1453.34063) Full Text: DOI OpenURL
Tchakui, M. V.; Woafo, P.; Skokos, Ch. Chaotic dynamics of piezoelectric MEMS based on maximum Lyapunov exponent and smaller alignment index computations. (English) Zbl 1450.37083 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2030025, 17 p. (2020). MSC: 37N15 37J65 74F15 PDF BibTeX XML Cite \textit{M. V. Tchakui} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2030025, 17 p. (2020; Zbl 1450.37083) Full Text: DOI arXiv OpenURL
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. (English) Zbl 1476.39021 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A36 37J65 37J70 39A12 33E05 PDF BibTeX XML Cite \textit{M. Noumi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020; Zbl 1476.39021) Full Text: DOI arXiv OpenURL
Charlier, Christophe; Lenells, Jonatan Airy and Painlevé asymptotics for the mKdV equation. (English) Zbl 1443.37054 J. Lond. Math. Soc., II. Ser. 101, No. 1, 194-225 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K15 37J65 41A60 34M55 35Q15 35Q53 PDF BibTeX XML Cite \textit{C. Charlier} and \textit{J. Lenells}, J. Lond. Math. Soc., II. Ser. 101, No. 1, 194--225 (2020; Zbl 1443.37054) Full Text: DOI arXiv OpenURL
Min, Chao; Chen, Yang Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble. (English) Zbl 1440.15038 Random Matrices Theory Appl. 9, No. 2, Article ID 2050016, 22 p. (2020). MSC: 15B52 33E17 34M55 37J65 PDF BibTeX XML Cite \textit{C. Min} and \textit{Y. Chen}, Random Matrices Theory Appl. 9, No. 2, Article ID 2050016, 22 p. (2020; Zbl 1440.15038) Full Text: DOI arXiv OpenURL
Hai, Pham Viet; Putinar, Mihai Complex symmetric evolution equations. (English) Zbl 1433.81078 Anal. Math. Phys. 10, No. 1, Paper No. 14, 36 p. (2020). MSC: 81Q05 81Q10 47D08 47D06 81R05 37J65 PDF BibTeX XML Cite \textit{P. V. Hai} and \textit{M. Putinar}, Anal. Math. Phys. 10, No. 1, Paper No. 14, 36 p. (2020; Zbl 1433.81078) Full Text: DOI arXiv OpenURL
Xu, Hong Yan; Tu, Jin Existence of rational solutions for \(q\)-difference Painlevé equations. (English) Zbl 1437.39001 Electron. J. Differ. Equ. 2020, Paper No. 14, 14 p. (2020). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 39A12 30D35 34M55 37J65 PDF BibTeX XML Cite \textit{H. Y. Xu} and \textit{J. Tu}, Electron. J. Differ. Equ. 2020, Paper No. 14, 14 p. (2020; Zbl 1437.39001) Full Text: Link 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
Błaszak, Maciej Non-autonomous Hénon-Heiles system from Painlevé class. (English) Zbl 1480.37075 Phys. Lett., A 383, No. 18, 2149-2152 (2019). MSC: 37J65 34M55 PDF BibTeX XML Cite \textit{M. Błaszak}, Phys. Lett., A 383, No. 18, 2149--2152 (2019; Zbl 1480.37075) Full Text: DOI arXiv OpenURL
Pickering, Andrew; Gordoa, Pilar R.; Wattis, Jonathan A. D. The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases. (English) Zbl 1451.37086 Physica D 391, 72-86 (2019). MSC: 37J65 39A36 PDF BibTeX XML Cite \textit{A. Pickering} et al., Physica D 391, 72--86 (2019; Zbl 1451.37086) Full Text: DOI OpenURL
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations. (English) Zbl 1467.37057 Ann. Henri Poincaré 20, No. 10, 3313-3364 (2019). Reviewer: Yousuke Ohyama (Tokushima) MSC: 37J65 33E17 34M55 34M50 41A60 60B20 15B52 PDF BibTeX XML Cite \textit{D. Dai} et al., Ann. Henri Poincaré 20, No. 10, 3313--3364 (2019; Zbl 1467.37057) Full Text: DOI arXiv OpenURL
Nie, Qianqian; Guo, Fei Periodic solutions for a class of second order superquadratic nonautonomous Hamiltonian systems. (Chinese. English summary) Zbl 1438.37036 J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 3, 38-42 (2018). MSC: 37J46 37J65 PDF BibTeX XML Cite \textit{Q. Nie} and \textit{F. Guo}, J. Northeast Norm. Univ., Nat. Sci. Ed. 50, No. 3, 38--42 (2018; Zbl 1438.37036) Full Text: DOI OpenURL
Pavlenko, Viktor Aleksandrovich; Suleĭmanov, Bulat Irekovich “Quantizations” of isomonodromic Hamilton system \(H^{\frac{7}{2}+1} \). (Russian. English summary) Zbl 1474.37079 Ufim. Mat. Zh. 9, No. 4, 100-110 (2017); translation in Ufa Math. J. 9, No. 4, 97-107 (2017). MSC: 37J65 37J35 37K10 81S08 34M56 PDF BibTeX XML Cite \textit{V. A. Pavlenko} and \textit{B. I. Suleĭmanov}, Ufim. Mat. Zh. 9, No. 4, 100--110 (2017; Zbl 1474.37079); translation in Ufa Math. J. 9, No. 4, 97--107 (2017) Full Text: DOI MNR OpenURL