Briane, Marc; Hervé, Loïc Specific properties of the ODE’s flow in dimension two versus dimension three. (English) Zbl 07818466 J. Dyn. Differ. Equations 36, No. 1, 421-461 (2024). MSC: 34E10 37C10 37C40 42B05 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Hervé}, J. Dyn. Differ. Equations 36, No. 1, 421--461 (2024; Zbl 07818466) Full Text: DOI arXiv
Ju, Luman; Xu, Kai; Fan, Engui Long-time asymptotics of the Hunter-Saxton equation on the line. (English) Zbl 07815134 J. Differ. Equations 390, 451-493 (2024). MSC: 35Q51 35Q15 35C20 35P25 35B40 41A60 35C08 37K10 37K15 37K35 PDFBibTeX XMLCite \textit{L. Ju} et al., J. Differ. Equations 390, 451--493 (2024; Zbl 07815134) Full Text: DOI arXiv
Ahmed, Talha; Wilson, Dan Phase-amplitude coordinate-based neural networks for inferring oscillatory dynamics. (English) Zbl 07812566 J. Nonlinear Sci. 34, No. 1, Paper No. 15, 28 p. (2024). MSC: 34E10 37Cxx 92Bxx 68Txx PDFBibTeX XMLCite \textit{T. Ahmed} and \textit{D. Wilson}, J. Nonlinear Sci. 34, No. 1, Paper No. 15, 28 p. (2024; Zbl 07812566) Full Text: DOI
Bezerra, Flank; da Silva, Severino; Silva, Dennys Smooth dynamics properties of a non-local evolution equation. (English) Zbl 07805430 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1283-1300 (2024). MSC: 45J05 37L05 45M05 PDFBibTeX XMLCite \textit{F. Bezerra} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1283--1300 (2024; Zbl 07805430) Full Text: DOI
Bosschaert, Maikel M.; Kuznetsov, Yuri A. Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation. (English) Zbl 07803213 SIAM J. Appl. Dyn. Syst. 23, No. 1, 410-439 (2024). MSC: 37M20 65P30 34C37 34B08 34B15 34B40 34E10 PDFBibTeX XMLCite \textit{M. M. Bosschaert} and \textit{Y. A. Kuznetsov}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 410--439 (2024; Zbl 07803213) Full Text: DOI arXiv
Geng, Xianguo; Liu, Wenhao; Li, Ruomeng Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data. (English) Zbl 07801712 J. Differ. Equations 386, 113-163 (2024). MSC: 35Q15 35Q55 35Q41 35Q60 78A60 37K15 37K35 35C08 35B40 35P25 41A60 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Differ. Equations 386, 113--163 (2024; Zbl 07801712) Full Text: DOI
Xu, Kai; Yang, Yiling; Fan, Engui The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics. (English) Zbl 07791834 J. Differ. Equations 380, 24-91 (2024). MSC: 35Q15 35Q51 37K15 35C20 PDFBibTeX XMLCite \textit{K. Xu} et al., J. Differ. Equations 380, 24--91 (2024; Zbl 07791834) Full Text: DOI arXiv
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of forced nonlinear oscillators. (English) Zbl 07791025 Japan J. Ind. Appl. Math. 41, No. 1, 151-164 (2024). MSC: 37J30 37J35 34C15 34E10 37J40 34A05 37C27 34C25 37C29 34C37 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Japan J. Ind. Appl. Math. 41, No. 1, 151--164 (2024; Zbl 07791025) Full Text: DOI arXiv
Xiong, Yanqin; Hu, Guangping Heteroclinic loop bifurcations by perturbing a class of \(\mathrm{Z}_2\)-equivariant quadratic switching Hamiltonian systems with nilpotent singular points. (English) Zbl 07787738 J. Math. Anal. Appl. 532, No. 2, Article ID 127977, 23 p. (2024). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C37 34C14 34C23 34E10 37J40 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{G. Hu}, J. Math. Anal. Appl. 532, No. 2, Article ID 127977, 23 p. (2024; Zbl 07787738) Full Text: DOI
Li, Jian; Xia, Tiecheng Long-time asymptotics to the defocusing generalized nonlinear Schrödinger equation with the decaying initial value problem. (English) Zbl 07816025 Math. Methods Appl. Sci. 46, No. 18, 18706-18728 (2023). MSC: 35Q51 35Q15 37K10 PDFBibTeX XMLCite \textit{J. Li} and \textit{T. Xia}, Math. Methods Appl. Sci. 46, No. 18, 18706--18728 (2023; Zbl 07816025) Full Text: DOI
Chuiko, S. M.; Chuiko, O. S.; Popov, M. V. Adomian decomposition method in the theory of nonlinear boundary-value problems. (English. Ukrainian original) Zbl 07800760 J. Math. Sci., New York 277, No. 2, 338-351 (2023); translation from Neliniĭni Kolyvannya 25, No. 4, 413-425 (2022). MSC: 34B10 34A45 34E10 37C60 PDFBibTeX XMLCite \textit{S. M. Chuiko} et al., J. Math. Sci., New York 277, No. 2, 338--351 (2023; Zbl 07800760); translation from Neliniĭni Kolyvannya 25, No. 4, 413--425 (2022) Full Text: DOI
Charlier, Christophe; Lenells, Jonatan; Wang, Deng-Shan The “good” Boussinesq equation: long-time asymptotics. (English) Zbl 07785238 Anal. PDE 16, No. 6, 1351-1388 (2023). MSC: 35B40 35G25 35Q15 37K15 76B15 PDFBibTeX XMLCite \textit{C. Charlier} et al., Anal. PDE 16, No. 6, 1351--1388 (2023; Zbl 07785238) Full Text: DOI arXiv
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher An example of resonance instability. (English. French summary) Zbl 07779481 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 3, 535-554 (2023). MSC: 35B34 35B35 35J10 35P20 37C25 81Q20 PDFBibTeX XMLCite \textit{J.-F. Bony} et al., Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 3, 535--554 (2023; Zbl 07779481) Full Text: DOI arXiv
Xu, Taiyang; Fan, Engui Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions. (English) Zbl 07778787 Stud. Appl. Math. 150, No. 4, 1217-1273 (2023). MSC: 35Q53 35Q15 35B65 37K15 35B40 41A60 PDFBibTeX XMLCite \textit{T. Xu} and \textit{E. Fan}, Stud. Appl. Math. 150, No. 4, 1217--1273 (2023; Zbl 07778787) Full Text: DOI arXiv
Si, Wen; Xu, Lu; Yi, Yingfei Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators. (English) Zbl 07754902 J. Nonlinear Sci. 33, No. 6, Paper No. 114, 28 p. (2023). Reviewer: Michal Veselý (Brno) MSC: 34C27 34E15 37C60 34D20 34E10 PDFBibTeX XMLCite \textit{W. Si} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 114, 28 p. (2023; Zbl 07754902) Full Text: DOI
Rabia, Afef Amina; Makhlouf, Amar Periodic solutions for differential systems in \(\mathbb{R}^5\) and \(\mathbb{R}^6 \). (English) Zbl 07753798 J. Dyn. Control Syst. 29, No. 3, 647-657 (2023). Reviewer: Eduardo Muñoz-Hernández (Madrid) MSC: 34C25 34C29 34E10 37C60 PDFBibTeX XMLCite \textit{A. A. Rabia} and \textit{A. Makhlouf}, J. Dyn. Control Syst. 29, No. 3, 647--657 (2023; Zbl 07753798) Full Text: DOI
Xu, Taiyang; Zhang, Zechuan; Fan, Engui On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions. (English) Zbl 1522.35436 J. Differ. Equations 372, 55-122 (2023). MSC: 35Q51 35Q53 35Q15 35C08 35C20 35B40 37K15 37K40 41A60 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Differ. Equations 372, 55--122 (2023; Zbl 1522.35436) Full Text: DOI arXiv
Kotlyarov, Volodymyr; Minakov, Oleksandr Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier. (English) Zbl 07735415 Nonlinearity 36, No. 9, 5007-5074 (2023). MSC: 35Q60 35Q15 35Q51 78A60 35C08 35B40 35M13 30E20 37K10 37K40 45E05 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{O. Minakov}, Nonlinearity 36, No. 9, 5007--5074 (2023; Zbl 07735415) Full Text: DOI arXiv
Min, Chao; Chen, Yang Hankel determinant and orthogonal polynomials for a perturbed Gaussian weight: from finite \(n\) to large \(n\) asymptotics. (English) Zbl 1520.33006 J. Math. Phys. 64, No. 8, Article ID 083503, 20 p. (2023). MSC: 33C45 37J38 37J65 34M30 34M55 15B52 15A15 42C05 PDFBibTeX XMLCite \textit{C. Min} and \textit{Y. Chen}, J. Math. Phys. 64, No. 8, Article ID 083503, 20 p. (2023; Zbl 1520.33006) Full Text: DOI arXiv
Liu, Nan Long-time asymptotics of solution to the coupled Hirota system with \(4 \times 4\) Lax pair. (English) Zbl 07725273 J. Geom. Phys. 191, Article ID 104912, 24 p. (2023). MSC: 53D99 37K40 35Q55 PDFBibTeX XMLCite \textit{N. Liu}, J. Geom. Phys. 191, Article ID 104912, 24 p. (2023; Zbl 07725273) Full Text: DOI
Buică, Adriana Bifurcations from a normally degenerate cycle in forced planar differential equations. (English) Zbl 1523.34040 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 63, 18 p. (2023). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C23 34C25 34E10 37C60 PDFBibTeX XMLCite \textit{A. Buică}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 63, 18 p. (2023; Zbl 1523.34040) Full Text: DOI
Kashchenko, S. A.; Tolbey, A. O. Bifurcations in the logistic equation with diffusion and delay in the boundary condition. (English. Russian original) Zbl 1520.35007 Math. Notes 113, No. 6, 869-873 (2023); translation from Mat. Zametki 113, No. 6, 940-944 (2023). MSC: 35B32 35K20 35K58 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko} and \textit{A. O. Tolbey}, Math. Notes 113, No. 6, 869--873 (2023; Zbl 1520.35007); translation from Mat. Zametki 113, No. 6, 940--944 (2023) Full Text: DOI
Liu, Nan; Lan, Zhong-Zhou; Yu, Jia-Dong Painlevé asymptotics for the coupled Sasa-Satsuma equation. (English) Zbl 1518.35522 Proc. Am. Math. Soc. 151, No. 9, 3763-3778 (2023). MSC: 35Q15 35Q55 35Q53 34B40 37K35 37K40 41A60 34M55 PDFBibTeX XMLCite \textit{N. Liu} et al., Proc. Am. Math. Soc. 151, No. 9, 3763--3778 (2023; Zbl 1518.35522) Full Text: DOI
Yang, Yiling; Fan, Engui Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background. (English) Zbl 1516.35363 Adv. Math. 426, Article ID 109088, 86 p. (2023). MSC: 35Q51 35Q15 35Q53 35C08 35C20 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 426, Article ID 109088, 86 p. (2023; Zbl 1516.35363) Full Text: DOI
Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. (English) Zbl 1520.34034 J. Differ. Equations 357, 412-435 (2023). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C23 37J40 34E10 34C07 34C05 34C37 PDFBibTeX XMLCite \textit{W. Geng} et al., J. Differ. Equations 357, 412--435 (2023; Zbl 1520.34034) Full Text: DOI
Yoshino, Masafumi Solution with movable singular points of some Hamiltonian system. (English) Zbl 1515.37063 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 207-218 (2023). MSC: 37J65 34M25 34M30 34M35 40C15 PDFBibTeX XMLCite \textit{M. Yoshino}, Contemp. Math. 782, 207--218 (2023; Zbl 1515.37063) Full Text: DOI
Björklund, Michael; Gorodnik, Alexander Poisson approximation and Weibull asymptotics in the geometry of numbers. (English) Zbl 1526.11035 Trans. Am. Math. Soc. 376, No. 3, 2155-2180 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11H06 37A50 37A44 PDFBibTeX XMLCite \textit{M. Björklund} and \textit{A. Gorodnik}, Trans. Am. Math. Soc. 376, No. 3, 2155--2180 (2023; Zbl 1526.11035) Full Text: DOI arXiv
Zhou, Xuan; Fan, Engui Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions. (English) Zbl 1506.35195 Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023). MSC: 35Q51 35Q53 35Q15 35C08 35B40 35C20 37K10 37K15 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Fan}, Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023; Zbl 1506.35195) Full Text: DOI arXiv
Li, Tao; Llibre, Jaume Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. (English) Zbl 1511.34016 J. Differ. Equations 344, 405-438 (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C07 34C29 34C05 37J46 34C23 34E10 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, J. Differ. Equations 344, 405--438 (2023; Zbl 1511.34016) Full Text: DOI
Sultanov, Oskar A. Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation. (English) Zbl 1508.34061 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1719-1749 (2023). MSC: 34D10 34D05 34D20 37C60 34C15 37J40 70K30 70K40 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1719--1749 (2023; Zbl 1508.34061) Full Text: DOI arXiv
Khalil, Nancy; Iron, David; Kolokolnikov, Theodore Stability and dynamics of spike-type solutions to delayed Gierer-Meinhardt equations. (English) Zbl 1501.35412 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1185-1214 (2023). MSC: 35Q92 92E20 92C37 35K57 35B32 35B40 35B20 35B35 35C20 35E05 37L10 34E10 35R07 PDFBibTeX XMLCite \textit{N. Khalil} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1185--1214 (2023; Zbl 1501.35412) Full Text: DOI
Sonntag, Konstantin; Peitz, Sebastian Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. arXiv:2307.00975 Preprint, arXiv:2307.00975 [math.OC] (2023). MSC: 90C29 90C30 90C25 91A12 91B55 34E10 37L05 90B50 91B55 BibTeX Cite \textit{K. Sonntag} and \textit{S. Peitz}, ``Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping'', Preprint, arXiv:2307.00975 [math.OC] (2023) Full Text: arXiv OA License
Graça, Daniel S.; Zhong, Ning Robust non-computability and stability of dynamical systems. arXiv:2305.14448 Preprint, arXiv:2305.14448 [math.LO] (2023). MSC: 03D78 37D05 34E10 BibTeX Cite \textit{D. S. Graça} and \textit{N. Zhong}, ``Robust non-computability and stability of dynamical systems'', Preprint, arXiv:2305.14448 [math.LO] (2023) Full Text: arXiv OA License
Goddard, B. D.; Ottobre, M.; Painter, K. J.; Souttar, I. On the study of slow-fast dynamics, when the fast process has multiple invariant measures. arXiv:2305.04632 Preprint, arXiv:2305.04632 [math.PR] (2023). MSC: 34C29 34D05 34E10 34F05 37H10 60K35 BibTeX Cite \textit{B. D. Goddard} et al., ``On the study of slow-fast dynamics, when the fast process has multiple invariant measures'', Preprint, arXiv:2305.04632 [math.PR] (2023) Full Text: arXiv OA License
Yagasaki, Kazuyuki Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in dynamical systems with symmetry. arXiv:2302.06861 Preprint, arXiv:2302.06861 [math.DS] (2023). MSC: 34C23 37G15 37G25 37G40 34D10 34E10 34H05 70Q05 BibTeX Cite \textit{K. Yagasaki}, ``Periodic perturbations of codimension-two bifurcations with a double zero eigenvalue in dynamical systems with symmetry'', Preprint, arXiv:2302.06861 [math.DS] (2023) Full Text: arXiv OA License
Phatangare, Nanasaheb; Kendre, Subhash; Masalkar, Krishnat Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation. (English) Zbl 1524.34098 Differ. Equ. Appl. 14, No. 4, 499-524 (2022). MSC: 34C23 37G15 34C05 34E10 37J40 PDFBibTeX XMLCite \textit{N. Phatangare} et al., Differ. Equ. Appl. 14, No. 4, 499--524 (2022; Zbl 1524.34098) Full Text: DOI arXiv
Vig, Amir The wave trace and Birkhoff billiards. (English) Zbl 1521.37027 J. Spectr. Theory 12, No. 3, 877-938 (2022). Reviewer: Daniel Jaud (München) MSC: 37C83 58J51 PDFBibTeX XMLCite \textit{A. Vig}, J. Spectr. Theory 12, No. 3, 877--938 (2022; Zbl 1521.37027) Full Text: DOI arXiv
Zinat Matin, Hossein Nick; Sowers, Richard B. Near-collision dynamics in a noisy car-following model. (English) Zbl 1511.60092 SIAM J. Appl. Math. 82, No. 6, 2080-2110 (2022). MSC: 60H10 37H05 90B20 PDFBibTeX XMLCite \textit{H. N. Zinat Matin} and \textit{R. B. Sowers}, SIAM J. Appl. Math. 82, No. 6, 2080--2110 (2022; Zbl 1511.60092) Full Text: DOI arXiv
Geng, Xianguo; Wang, Kedong; Chen, Mingming The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. (English) Zbl 1506.35015 IMA J. Appl. Math. 87, No. 5, 852-905 (2022). MSC: 35B40 35Q55 37K15 PDFBibTeX XMLCite \textit{X. Geng} et al., IMA J. Appl. Math. 87, No. 5, 852--905 (2022; Zbl 1506.35015) Full Text: DOI
Li, Jian; Xia, Tiecheng; Guo, Handong Long-time asymptotics for the nonlocal Kundu-nonlinear-Schrödinger equation by the nonlinear steepest descent method. (English. Russian original) Zbl 1516.37116 Theor. Math. Phys. 213, No. 3, 1706-1726 (2022); translation from Teor. Mat. Fiz. 213, No. 3, 459-481 (2022). MSC: 37K40 35Q51 35Q15 35B40 PDFBibTeX XMLCite \textit{J. Li} et al., Theor. Math. Phys. 213, No. 3, 1706--1726 (2022; Zbl 1516.37116); translation from Teor. Mat. Fiz. 213, No. 3, 459--481 (2022) Full Text: DOI
Dvornyk, A. V.; Tkachenko, V. I. Frequency locking of periodic solutions to differential equations with impulsive perturbations. (English. Ukrainian original) Zbl 1512.34087 Ukr. Math. J. 74, No. 7, 1073-1098 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 939-960 (2022). Reviewer: Lutz Recke (Berlin) MSC: 34C25 34A37 34C05 34C45 34E10 37C60 34D20 PDFBibTeX XMLCite \textit{A. V. Dvornyk} and \textit{V. I. Tkachenko}, Ukr. Math. J. 74, No. 7, 1073--1098 (2022; Zbl 1512.34087); translation from Ukr. Mat. Zh. 74, No. 7, 939--960 (2022) Full Text: DOI
Kashchenko, S. A. Quasi-normal forms in the problem of vibrations of Pedestrian bridges. (English. Russian original) Zbl 1504.35047 Dokl. Math. 106, No. 2, 343-347 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49-53 (2022). MSC: 35B32 35B10 35B35 35R09 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 106, No. 2, 343--347 (2022; Zbl 1504.35047); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49--53 (2022) Full Text: DOI
Liu, Nan; Zhao, Xiaodan Long-time asymptotic behavior of the solution to the coupled Hirota equations with decaying initial data. (English) Zbl 1504.35073 Rocky Mt. J. Math. 52, No. 5, 1719-1740 (2022). MSC: 35B40 35G25 35Q15 37K40 PDFBibTeX XMLCite \textit{N. Liu} and \textit{X. Zhao}, Rocky Mt. J. Math. 52, No. 5, 1719--1740 (2022; Zbl 1504.35073) Full Text: DOI Link
Yang, Yiling; Fan, Engui Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data. (English) Zbl 1503.35202 Chin. Ann. Math., Ser. B 43, No. 6, 893-948 (2022). MSC: 35Q51 35Q15 37K15 35C20 41A60 35B40 35B35 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Chin. Ann. Math., Ser. B 43, No. 6, 893--948 (2022; Zbl 1503.35202) Full Text: DOI
Jendrej, Jacek; Kowalczyk, Michał; Lawrie, Andrew Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line. (English) Zbl 1504.35068 Duke Math. J. 171, No. 18, 3643-3705 (2022). MSC: 35B40 35C08 35L71 37K40 PDFBibTeX XMLCite \textit{J. Jendrej} et al., Duke Math. J. 171, No. 18, 3643--3705 (2022; Zbl 1504.35068) Full Text: DOI arXiv
Pessoa, Claudio; Ribeiro, Ronisio Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones. (English) Zbl 1514.34034 São Paulo J. Math. Sci. 16, No. 2, 932-956 (2022). Reviewer: Alois Steindl (Wien) MSC: 34A36 34A30 34C37 34C05 34C07 34C23 34E10 37J46 37J40 PDFBibTeX XMLCite \textit{C. Pessoa} and \textit{R. Ribeiro}, São Paulo J. Math. Sci. 16, No. 2, 932--956 (2022; Zbl 1514.34034) Full Text: DOI
Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. (English) Zbl 1503.35206 Acta Math. Sin., Engl. Ser. 38, No. 11, 2090-2114 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{M. M. Chen} et al., Acta Math. Sin., Engl. Ser. 38, No. 11, 2090--2114 (2022; Zbl 1503.35206) Full Text: DOI
Suleimanov, B. I. Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1508.37081 St. Petersbg. Math. J. 33, No. 6, 995-1009 (2022); translation from Algebra Anal. 33, No. 6, 141-161 (2021). MSC: 37J65 34M55 34M25 34M30 34M56 35Q55 81S08 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, St. Petersbg. Math. J. 33, No. 6, 995--1009 (2022; Zbl 1508.37081); translation from Algebra Anal. 33, No. 6, 141--161 (2021) Full Text: DOI
Chen, Xiaoyan; Han, Maoan Further study on Horozov-Iliev’s method of estimating the number of limit cycles. (English) Zbl 1510.34054 Sci. China, Math. 65, No. 11, 2255-2270 (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34A36 37J40 34C05 34C23 34E10 PDFBibTeX XMLCite \textit{X. Chen} and \textit{M. Han}, Sci. China, Math. 65, No. 11, 2255--2270 (2022; Zbl 1510.34054) Full Text: DOI arXiv
Chen, Mingming; Geng, Xianguo; Wang, Kedong; Xue, Bo Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367 Commun. Pure Appl. Anal. 21, No. 9, 3171-3191 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 21, No. 9, 3171--3191 (2022; Zbl 1501.35367) Full Text: DOI
Chang, Yuan; Bai, Yuzhen Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters. (English) Zbl 1508.34042 Commun. Pure Appl. Anal. 21, No. 9, 3071-3088 (2022). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C23 34C05 34A36 37J40 34E10 PDFBibTeX XMLCite \textit{Y. Chang} and \textit{Y. Bai}, Commun. Pure Appl. Anal. 21, No. 9, 3071--3088 (2022; Zbl 1508.34042) Full Text: DOI
Zhou, Xuan; Fan, Engui Long time asymptotics for the nonlocal mKdV equation with finite density initial data. (English) Zbl 1501.35358 Physica D 440, Article ID 133458, 22 p. (2022). MSC: 35Q53 35Q15 37K15 37K35 35B40 35C08 41A60 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Fan}, Physica D 440, Article ID 133458, 22 p. (2022; Zbl 1501.35358) Full Text: DOI arXiv
Bigirindavyi, Daniel; Levenshtam, Valeriĭ Borisovich Averaging for high-frequency normal system of ordinary differential equations with multipoint boundary value problems. (Russian. English summary) Zbl 1513.34167 Vladikavkaz. Mat. Zh. 24, No. 2, 62-74 (2022); translation in Sib. Math. J. 64, No. 3, 737-746 (2023). MSC: 34C29 34E15 34E10 37C60 34B10 47J07 PDFBibTeX XMLCite \textit{D. Bigirindavyi} and \textit{V. B. Levenshtam}, Vladikavkaz. Mat. Zh. 24, No. 2, 62--74 (2022; Zbl 1513.34167); translation in Sib. Math. J. 64, No. 3, 737--746 (2023) Full Text: DOI MNR
Huang, Lin; Zhang, Lun Higher order Airy and Painlevé asymptotics for the mKdV hierarchy. (English) Zbl 1506.37088 SIAM J. Math. Anal. 54, No. 5, 5291-5334 (2022). MSC: 37K15 37K10 41A60 35Q15 35Q53 PDFBibTeX XMLCite \textit{L. Huang} and \textit{L. Zhang}, SIAM J. Math. Anal. 54, No. 5, 5291--5334 (2022; Zbl 1506.37088) Full Text: DOI arXiv
Assiotis, Theodoros; Keating, Jonathan P.; Warren, Jon On the joint moments of the characteristic polynomials of random unitary matrices. (English) Zbl 1509.15022 Int. Math. Res. Not. 2022, No. 18, 14564-14603 (2022). MSC: 15B52 60B20 37J65 28A50 PDFBibTeX XMLCite \textit{T. Assiotis} et al., Int. Math. Res. Not. 2022, No. 18, 14564--14603 (2022; Zbl 1509.15022) Full Text: DOI arXiv
Audiard, Corentin; Rodrigues, L. Miguel About plane periodic waves of the nonlinear Schrödinger equations. (English. French summary) Zbl 1501.35362 Bull. Soc. Math. Fr. 150, No. 1, 111-207 (2022). MSC: 35Q55 35Q41 35B10 35B35 35C07 35C08 35B40 35P05 37K45 PDFBibTeX XMLCite \textit{C. Audiard} and \textit{L. M. Rodrigues}, Bull. Soc. Math. Fr. 150, No. 1, 111--207 (2022; Zbl 1501.35362) Full Text: DOI arXiv
Kordyukov, Yuri A.; Taimanov, Iskander A. Trace formula for the magnetic Laplacian on a compact hyperbolic surface. (English) Zbl 1511.37066 Regul. Chaotic Dyn. 27, No. 4, 460-476 (2022). Reviewer: Ivailo M. Mladenov (Sofia) MSC: 37J35 37J39 58J37 58J50 81Q20 PDFBibTeX XMLCite \textit{Y. A. Kordyukov} and \textit{I. A. Taimanov}, Regul. Chaotic Dyn. 27, No. 4, 460--476 (2022; Zbl 1511.37066) Full Text: DOI arXiv
Wang, Zhaoyu; Fan, Engui Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region. (English) Zbl 1496.35371 J. Differ. Equations 336, 334-373 (2022). MSC: 35Q55 35Q51 35Q15 37K15 35C20 41A60 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{E. Fan}, J. Differ. Equations 336, 334--373 (2022; Zbl 1496.35371) Full Text: DOI arXiv
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. (English) Zbl 1504.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34C23 34C05 34E10 37J40 34C20 34C07 34A30 PDFBibTeX XMLCite \textit{C. Pessoa} and \textit{R. Ribeiro}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022; Zbl 1504.34030) Full Text: DOI arXiv
Balan, Raluca M.; Le, Chen; Chen, Xia Exact asymptotics of the stochastic wave equation with time-independent noise. (English) Zbl 1502.37081 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1590-1620 (2022). MSC: 37L55 35R60 60H07 60H15 PDFBibTeX XMLCite \textit{R. M. Balan} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 3, 1590--1620 (2022; Zbl 1502.37081) Full Text: DOI arXiv
Wei, Lijun; Zhang, Xiang Corrigendum to: “Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems”. (English) Zbl 1493.34107 Nonlinearity 35, No. 8, C13-C17 (2022). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDFBibTeX XMLCite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 35, No. 8, C13--C17 (2022; Zbl 1493.34107) Full Text: DOI
Boutet de Monvel, Anne; Karpenko, Iryna; Shepelsky, Dmitry The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem. (English) Zbl 1490.35380 Pure Appl. Funct. Anal. 7, No. 3, 887-914 (2022). MSC: 35Q53 37K15 35Q15 35B40 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Pure Appl. Funct. Anal. 7, No. 3, 887--914 (2022; Zbl 1490.35380) Full Text: arXiv Link
Gnann, Manuel V.; Wisse, Anouk C. The Cox-Voinov law for traveling waves in the partial wetting regime. (English) Zbl 1495.35068 Nonlinearity 35, No. 7, 3560-3592 (2022). MSC: 35C07 35K25 35K65 37D10 76D08 PDFBibTeX XMLCite \textit{M. V. Gnann} and \textit{A. C. Wisse}, Nonlinearity 35, No. 7, 3560--3592 (2022; Zbl 1495.35068) Full Text: DOI arXiv
Chen, Yuanyuan; Yu, Jiang Limit cycles bifurcating from a class of cubic Hamiltonian systems. (English) Zbl 1502.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34C05 34C07 34C08 34C23 34E10 37J40 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022; Zbl 1502.34038) Full Text: DOI
Yang, Junmin; Hu, Xing Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. (English) Zbl 1505.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C23 34C37 34E10 37J40 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{X. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022; Zbl 1505.34049) Full Text: DOI
Abramov, V. V.; Belman, S. A.; Liskina, E. Yu. Parameter stability under permanent perturbations. (English. Russian original) Zbl 1504.34059 J. Math. Sci., New York 262, No. 6, 773-778 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 9-14 (2019). Reviewer: Adeleke Timothy Ademola (Ile-Ife) MSC: 34C05 37C60 34D20 34D10 34C25 34E10 PDFBibTeX XMLCite \textit{V. V. Abramov} et al., J. Math. Sci., New York 262, No. 6, 773--778 (2022; Zbl 1504.34059); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 168, 9--14 (2019) Full Text: DOI
Sultanov, Oskar A. Stability and bifurcation phenomena in asymptotically Hamiltonian systems. (English) Zbl 1502.37067 Nonlinearity 35, No. 5, 2513-2534 (2022). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J65 37J20 37J25 37J40 34C23 34D10 34D20 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Nonlinearity 35, No. 5, 2513--2534 (2022; Zbl 1502.37067) Full Text: DOI arXiv
Zou, Li; Zhao, Liqin The cyclicity of a class of global nilpotent center under perturbations of piecewise smooth polynomials with four zones. (English) Zbl 1500.34018 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 73, 29 p. (2022). MSC: 34A36 37J40 34F10 34C23 34C07 34C05 34E10 PDFBibTeX XMLCite \textit{L. Zou} and \textit{L. Zhao}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 73, 29 p. (2022; Zbl 1500.34018) Full Text: DOI
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J. Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. (English) Zbl 1500.34016 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106482, 23 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34A34 34C20 34C23 34D45 34C37 34E10 34C05 37D45 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106482, 23 p. (2022; Zbl 1500.34016) Full Text: DOI
Yang, Yiling; Fan, Engui On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. (English) Zbl 1491.35396 Adv. Math. 402, Article ID 108340, 78 p. (2022). MSC: 35Q51 35Q15 37K15 35C20 35B40 35B35 35C08 41A60 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Adv. Math. 402, Article ID 108340, 78 p. (2022; Zbl 1491.35396) Full Text: DOI
Zhang, Xiaolei; Xiong, Yanqin; Zhang, Yi The number of limit cycles by perturbing a piecewise linear system with three zones. (English) Zbl 1501.34021 Commun. Pure Appl. Anal. 21, No. 5, 1833-1855 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C07 34E10 34C23 37J40 34A30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Commun. Pure Appl. Anal. 21, No. 5, 1833--1855 (2022; Zbl 1501.34021) Full Text: DOI
Yagasaki, Kazuyuki Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits. (English) Zbl 1497.37063 J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022). MSC: 37J30 34E10 34M15 34M35 PDFBibTeX XMLCite \textit{K. Yagasaki}, J. Nonlinear Sci. 32, No. 4, Paper No. 43, 23 p. (2022; Zbl 1497.37063) Full Text: DOI arXiv
Wu, Fang; Huang, Lihong; Wang, Jiafu Bifurcations of a generalized heteroclinic loop in a planar piecewise smooth system with periodic perturbations. (English) Zbl 1510.34078 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 29, 27 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34A36 34C37 34C05 34E10 37C60 PDFBibTeX XMLCite \textit{F. Wu} et al., Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 29, 27 p. (2022; Zbl 1510.34078) Full Text: DOI
Ammari, Habib; Hiltunen, Erik O.; Kosche, Thea Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials. (English) Zbl 1525.34037 J. Differ. Equations 319, 227-287 (2022). Reviewer: Pavel Rehak (Brno) MSC: 34A30 37C60 34A05 34C20 34E10 34E05 PDFBibTeX XMLCite \textit{H. Ammari} et al., J. Differ. Equations 319, 227--287 (2022; Zbl 1525.34037) Full Text: DOI arXiv
Côte, Raphaël; Yuan, Xu Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation. (English) Zbl 1484.35052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112768, 34 p. (2022). MSC: 35B40 35L15 35L71 37K40 PDFBibTeX XMLCite \textit{R. Côte} and \textit{X. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112768, 34 p. (2022; Zbl 1484.35052) Full Text: DOI arXiv
Rodríguez-Bernal, Aníbal; Sastre-Gómez, Silvia Nonlinear nonlocal reaction-diffusion problem with local reaction. (English) Zbl 1498.37115 Discrete Contin. Dyn. Syst. 42, No. 4, 1731-1765 (2022). Reviewer: Mohamed Zitane (Meknès) MSC: 37L15 37L05 37L30 35K57 45M05 45M10 45M20 45K05 92D25 PDFBibTeX XMLCite \textit{A. Rodríguez-Bernal} and \textit{S. Sastre-Gómez}, Discrete Contin. Dyn. Syst. 42, No. 4, 1731--1765 (2022; Zbl 1498.37115) Full Text: DOI
Deng, G.; Lustri, C. J. Nanoptera in nonlinear woodpile chains with zero precompression. (English) Zbl 1490.76223 Physica D 429, Article ID 133053, 14 p. (2022). MSC: 76T25 34K11 37L60 35C08 PDFBibTeX XMLCite \textit{G. Deng} and \textit{C. J. Lustri}, Physica D 429, Article ID 133053, 14 p. (2022; Zbl 1490.76223) Full Text: DOI arXiv
Ha, Seung-Yeal; Shim, Woojoo; Yoon, Jaeyoung An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors. (English) Zbl 1491.65063 Commun. Math. Sci. 20, No. 2, 495-521 (2022). MSC: 65L05 34C15 34E10 37M15 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 20, No. 2, 495--521 (2022; Zbl 1491.65063) Full Text: DOI
Forni, Giovanni On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. (English) Zbl 1491.37031 Ergodic Theory Dyn. Syst. 42, No. 3, 855-880 (2022). MSC: 37D20 37A25 37A30 37C30 37E35 37E30 37D40 PDFBibTeX XMLCite \textit{G. Forni}, Ergodic Theory Dyn. Syst. 42, No. 3, 855--880 (2022; Zbl 1491.37031) Full Text: DOI arXiv
Oksasoglu, Ali; Wang, Qiudong High order Melnikov method: pendulums. (English) Zbl 1502.34053 J. Differ. Equations 312, 176-208 (2022). Reviewer: Yun Tian (Shanghai) MSC: 34C45 34C15 34E10 37C60 PDFBibTeX XMLCite \textit{A. Oksasoglu} and \textit{Q. Wang}, J. Differ. Equations 312, 176--208 (2022; Zbl 1502.34053) Full Text: DOI
Si, Wen; Yi, Yingfei Response solutions in degenerate oscillators under degenerate perturbations. (English) Zbl 1492.34043 Ann. Henri Poincaré 23, No. 1, 333-360 (2022). Reviewer: Michal Veselý (Brno) MSC: 34C27 37C60 34E10 PDFBibTeX XMLCite \textit{W. Si} and \textit{Y. Yi}, Ann. Henri Poincaré 23, No. 1, 333--360 (2022; Zbl 1492.34043) Full Text: DOI
Wang, Fudong; Ma, Wen-Xiu A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems. (English) Zbl 1486.37035 J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022). MSC: 37K10 37K20 35Q15 35C20 PDFBibTeX XMLCite \textit{F. Wang} and \textit{W.-X. Ma}, J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022; Zbl 1486.37035) Full Text: DOI
Cheng, Qiaoyuan; Fan, Engui Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time. (English) Zbl 1483.35175 J. Differ. Equations 309, 883-948 (2022). MSC: 35Q51 35Q15 35C20 37K15 37K40 35C08 41A60 PDFBibTeX XMLCite \textit{Q. Cheng} and \textit{E. Fan}, J. Differ. Equations 309, 883--948 (2022; Zbl 1483.35175) Full Text: DOI arXiv
Yagasaki, Kazuyuki Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits. arXiv:2205.04803 Preprint, arXiv:2205.04803 [math.DS] (2022). MSC: 37J30 34C15 37J40 34E10 37C29 BibTeX Cite \textit{K. Yagasaki}, ``Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits'', Preprint, arXiv:2205.04803 [math.DS] (2022) Full Text: arXiv OA License
Sonntag, Konstantin; Peitz, Sebastian Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-like Systems. arXiv:2207.12707 Preprint, arXiv:2207.12707 [math.OC] (2022). MSC: 90C29 90C30 90C25 91A12 91B55 34E10 37L05 90B50 91B55 BibTeX Cite \textit{K. Sonntag} and \textit{S. Peitz}, ``Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-like Systems'', Preprint, arXiv:2207.12707 [math.OC] (2022) Full Text: arXiv OA License
Wali Ullah, M.; Alhaz Uddin, M.; Saifur Rahman, M. A modified harmonic balance method for solving strongly generalized nonlinear damped forced vibration systems. (English) Zbl 1524.34043 Nonlinear Dyn. Syst. Theory 21, No. 5, 545-552 (2021). MSC: 34A45 34E05 34E10 37C60 34C15 PDFBibTeX XMLCite \textit{M. Wali Ullah} et al., Nonlinear Dyn. Syst. Theory 21, No. 5, 545--552 (2021; Zbl 1524.34043) Full Text: Link
Kajino, Naotaka The Laplacian on some self-conformal fractals and Weyl’s asymptotics for its eigenvalues: a survey of the analytic aspects. (English) Zbl 1486.35315 Inahama, Yuzuru (ed.) et al., Stochastic analysis, random fields and integrable probability – Fukuoka 2019. Proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Kyushu University, Japan, 31 July – 9 August 2019. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 87, 293-315 (2021). MSC: 35P20 28A80 31C25 37B10 53C23 60J35 PDFBibTeX XMLCite \textit{N. Kajino}, Adv. Stud. Pure Math. 87, 293--315 (2021; Zbl 1486.35315) Full Text: DOI arXiv
London, Steven D. Weakly nonlinear analysis of mean flow generation for tidally locked exoplanets. (English) Zbl 1482.85011 Geophys. Astrophys. Fluid Dyn. 115, No. 5-6, 696-709 (2021). MSC: 85A20 37N10 70M20 PDFBibTeX XMLCite \textit{S. D. London}, Geophys. Astrophys. Fluid Dyn. 115, No. 5--6, 696--709 (2021; Zbl 1482.85011) Full Text: DOI
Gordoa, Pilar R.; Pickering, Andrew; Wattis, Jonathan A. D. Integrability and asymptotic behaviour of a differential-difference matrix equation. (English) Zbl 1493.37087 Physica D 415, Article ID 132754, 11 p. (2021). MSC: 37K60 37K10 37K35 39A36 PDFBibTeX XMLCite \textit{P. R. Gordoa} et al., Physica D 415, Article ID 132754, 11 p. (2021; Zbl 1493.37087) Full Text: DOI Link
Sidorov, N. A.; Sidorov, D. N. Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions. (English. Russian original) Zbl 1486.45003 Differ. Equ. 57, No. 12, 1640-1651 (2021); translation from Differ. Uravn. 57, No. 12, 1654-1664 (2021). MSC: 45D05 45M05 37G10 PDFBibTeX XMLCite \textit{N. A. Sidorov} and \textit{D. N. Sidorov}, Differ. Equ. 57, No. 12, 1640--1651 (2021; Zbl 1486.45003); translation from Differ. Uravn. 57, No. 12, 1654--1664 (2021) Full Text: DOI
Yang, Bo; Yang, Jianke Rogue wave patterns in the nonlinear Schrödinger equation. (English) Zbl 1492.37066 Physica D 419, Article ID 132850, 14 p. (2021). MSC: 37K40 37K10 35B40 35B36 35Q55 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. Yang}, Physica D 419, Article ID 132850, 14 p. (2021; Zbl 1492.37066) Full Text: DOI arXiv
Yang, Bo; Yang, Jianke Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. (English) Zbl 1491.37062 Physica D 425, Article ID 132958, 24 p. (2021). MSC: 37K40 37K10 35B40 35C05 35Q51 35Q55 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. Yang}, Physica D 425, Article ID 132958, 24 p. (2021; Zbl 1491.37062) Full Text: DOI arXiv
Charlier, C.; Lenells, J. Long-time asymptotics for an integrable evolution equation with a \(3 \times 3\) Lax pair. (English) Zbl 1491.37061 Physica D 426, Article ID 132987, 11 p. (2021). MSC: 37K40 37K15 35Q15 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{J. Lenells}, Physica D 426, Article ID 132987, 11 p. (2021; Zbl 1491.37061) Full Text: DOI arXiv
Guillemin, Victor; Wang, Zuo Qin Bohr-Sommerfeld levels for quantum completely integrable systems. (English) Zbl 1483.81070 Acta Math. Sin., Engl. Ser. 37, No. 11, 1743-1750 (2021). MSC: 81Q20 58C40 37J35 81Q80 81V45 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{Z. Q. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 11, 1743--1750 (2021; Zbl 1483.81070) Full Text: DOI
Zeng, Hui; Li, Baoyi; Zhang, Yongkang Number of zeros of abelian integrals perturbed by piecewise \(n\)-degree polynomials for a class of Hamiltonian systems with \(1:2\) resonance. (Chinese. English summary) Zbl 1488.34230 J. Tianjin Norm. Univ., Nat. Sci. Ed. 41, No. 4, 24-30 (2021). MSC: 34C08 34C07 34E10 37J40 PDFBibTeX XMLCite \textit{H. Zeng} et al., J. Tianjin Norm. Univ., Nat. Sci. Ed. 41, No. 4, 24--30 (2021; Zbl 1488.34230) Full Text: DOI
Kiouach, Driss; Sabbar, Yassine Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation. (English) Zbl 1476.92045 Int. J. Biomath. 14, No. 4, Article ID 2150016, 26 p. (2021). MSC: 92D30 34F05 34E05 34E10 37A50 60H10 PDFBibTeX XMLCite \textit{D. Kiouach} and \textit{Y. Sabbar}, Int. J. Biomath. 14, No. 4, Article ID 2150016, 26 p. (2021; Zbl 1476.92045) Full Text: DOI arXiv
Deng, Guo; Lustri, Christopher J.; Porter, Mason A. Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. (English) Zbl 1484.34061 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2412-2449 (2021). MSC: 34A33 34C15 34E15 34E10 35Q51 37K40 35C08 PDFBibTeX XMLCite \textit{G. Deng} et al., SIAM J. Appl. Dyn. Syst. 20, No. 4, 2412--2449 (2021; Zbl 1484.34061) Full Text: DOI arXiv
Li, Tao; Llibre, Jaume Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). (English) Zbl 1490.34038 Commun. Pure Appl. Anal. 20, No. 11, 3887-3909 (2021). Reviewer: Armengol Gasull (Barcelona) MSC: 34C07 34E10 34A36 34C05 34C23 34C14 34C29 37J40 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, Commun. Pure Appl. Anal. 20, No. 11, 3887--3909 (2021; Zbl 1490.34038) Full Text: DOI
Zanelli, L.; Mandreoli, F.; Cardin, F. A weak KAM approach to the periodic stationary Hartree equation. (English) Zbl 1476.35094 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021). MSC: 35F21 37K55 81V70 PDFBibTeX XMLCite \textit{L. Zanelli} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 56, 18 p. (2021; Zbl 1476.35094) Full Text: DOI
Briane, Marc; Hervé, Loïc A picture of the ODE’s flow in the torus: from everywhere or almost-everywhere asymptotics to homogenization of transport equations. (English) Zbl 1482.37041 J. Differ. Equations 304, 165-190 (2021). MSC: 37E35 37E45 37C10 37A25 35Q49 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Hervé}, J. Differ. Equations 304, 165--190 (2021; Zbl 1482.37041) Full Text: DOI arXiv HAL