Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. Investigation of the problem on a parametric resonance in Lurie systems with weakly oscillating coefficients. (English. Russian original) Zbl 07528552 Autom. Remote Control 83, No. 2, 252-263 (2022); translation from Avtom. Telemekh. 2022, No. 2, 107-121 (2022). MSC: 93D05 PDF BibTeX XML Cite \textit{M. G. Yumagulov} et al., Autom. Remote Control 83, No. 2, 252--263 (2022; Zbl 07528552); translation from Avtom. Telemekh. 2022, No. 2, 107--121 (2022) Full Text: DOI OpenURL
Duran, Henry; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna Moving discrete breathers in a \(\beta\)-FPU lattice revisited. (English) Zbl 07526843 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022). MSC: 82Cxx 37Kxx 65Lxx PDF BibTeX XML Cite \textit{H. Duran} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022; Zbl 07526843) Full Text: DOI OpenURL
Porubov, E. O.; Tsiganov, A. V. On two-dimensional Hamiltonian systems with sixth-order integrals of motion. (English) Zbl 07526716 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022). MSC: 37Jxx 70Hxx 37Kxx PDF BibTeX XML Cite \textit{E. O. Porubov} and \textit{A. V. Tsiganov}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106404, 13 p. (2022; Zbl 07526716) Full Text: DOI OpenURL
Rosenau, Philip; Oron, Alexander Compact patterns in a class of sublinear Gardner equations. (English) Zbl 07526709 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106384, 16 p. (2022). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{P. Rosenau} and \textit{A. Oron}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106384, 16 p. (2022; Zbl 07526709) Full Text: DOI OpenURL
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong; Cheng, Yi Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 07526708 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{J. Rao} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106382, 18 p. (2022; Zbl 07526708) Full Text: DOI OpenURL
Di Ruzza, Sara; Pinzari, Gabriella Euler integral as a source of chaos in the three-body problem. (English) Zbl 07526704 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106372, 25 p. (2022). MSC: 70Fxx 37Jxx 37Nxx PDF BibTeX XML Cite \textit{S. Di Ruzza} and \textit{G. Pinzari}, Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106372, 25 p. (2022; Zbl 07526704) Full Text: DOI OpenURL
Hahn, Marvin Anas; Lewanski, Danilo Tropical jucys covers. (English) Zbl 07525054 Math. Z. 301, No. 2, 1719-1738 (2022). MSC: 14Nxx 14Hxx 37Kxx PDF BibTeX XML Cite \textit{M. A. Hahn} and \textit{D. Lewanski}, Math. Z. 301, No. 2, 1719--1738 (2022; Zbl 07525054) Full Text: DOI OpenURL
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 07524907 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022). MSC: 35Q35 37K35 37N10 76B15 35C08 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022; Zbl 07524907) Full Text: DOI OpenURL
Lin, Shuning; Chen, Yong A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. (English) Zbl 07523814 J. Comput. Phys. 457, Article ID 111053, 26 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{S. Lin} and \textit{Y. Chen}, J. Comput. Phys. 457, Article ID 111053, 26 p. (2022; Zbl 07523814) Full Text: DOI OpenURL
Kamimura, Yutaka Energy-dependent reflectionless inverse scattering. (English) Zbl 07523064 Publ. Res. Inst. Math. Sci. 58, No. 2, 379-440 (2022). MSC: 35Q53 37K10 37K40 81U40 PDF BibTeX XML Cite \textit{Y. Kamimura}, Publ. Res. Inst. Math. Sci. 58, No. 2, 379--440 (2022; Zbl 07523064) Full Text: DOI OpenURL
Komyo, Arata Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections. (English) Zbl 07522806 J. Math. Soc. Japan 74, No. 2, 473-519 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M55 PDF BibTeX XML Cite \textit{A. Komyo}, J. Math. Soc. Japan 74, No. 2, 473--519 (2022; Zbl 07522806) Full Text: DOI OpenURL
Shi, Yanling Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems. (English) Zbl 07518221 Appl. Anal. 101, No. 6, 2019-2043 (2022). MSC: 37K55 PDF BibTeX XML Cite \textit{Y. Shi}, Appl. Anal. 101, No. 6, 2019--2043 (2022; Zbl 07518221) Full Text: DOI OpenURL
Skokos, Charalampos; Gerlach, Enrico; Flach, Sergej Frequency map analysis of spatiotemporal chaos in the nonlinear disordered Klein-Gordon lattice. (English) Zbl 07515552 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250074, 19 p. (2022). MSC: 37Dxx 82Bxx 37Jxx PDF BibTeX XML Cite \textit{C. Skokos} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250074, 19 p. (2022; Zbl 07515552) Full Text: DOI OpenURL
Zhu, Li; Sun, Huaqing On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint. (English) Zbl 07515365 Linear Algebra Appl. 645, 9-29 (2022). MSC: 34L05 47A55 47A12 PDF BibTeX XML Cite \textit{L. Zhu} and \textit{H. Sun}, Linear Algebra Appl. 645, 9--29 (2022; Zbl 07515365) 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
Lizaur, Francisco Torres de Chaos in the incompressible Euler equation on manifolds of high dimension. (English) Zbl 07514025 Invent. Math. 228, No. 2, 687-715 (2022). MSC: 35Q31 35R01 37K99 76B03 PDF BibTeX XML Cite \textit{F. T. de Lizaur}, Invent. Math. 228, No. 2, 687--715 (2022; Zbl 07514025) Full Text: DOI OpenURL
Jäschke, Jens; Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit A port-Hamiltonian formulation of coupled heat transfer. (English) Zbl 07513095 Math. Comput. Model. Dyn. Syst. 28, No. 1, 78-94 (2022). MSC: 80A19 37K06 35A01 35A02 35Q79 35Q49 PDF BibTeX XML Cite \textit{J. Jäschke} et al., Math. Comput. Model. Dyn. Syst. 28, No. 1, 78--94 (2022; Zbl 07513095) Full Text: DOI OpenURL
van Diejen, Jan Felipe; Görbe, Tamás Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry. (English) Zbl 07512347 Commun. Math. Phys. 392, No. 1, 279-305 (2022). MSC: 37Kxx 37Jxx 33Dxx PDF BibTeX XML Cite \textit{J. F. van Diejen} and \textit{T. Görbe}, Commun. Math. Phys. 392, No. 1, 279--305 (2022; Zbl 07512347) Full Text: DOI OpenURL
Casati, Matteo; Wang, Jing Ping Hamiltonian structures for integrable nonabelian difference equations. (English) Zbl 07512346 Commun. Math. Phys. 392, No. 1, 219-278 (2022). MSC: 37Kxx 17Bxx 53Dxx PDF BibTeX XML Cite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 392, No. 1, 219--278 (2022; Zbl 07512346) Full Text: DOI OpenURL
Iglesias, Francisco Hernández; Shadrin, Sergey Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket. (English) Zbl 07512341 Commun. Math. Phys. 392, No. 1, 55-87 (2022). MSC: 37Kxx 81Txx 53Dxx PDF BibTeX XML Cite \textit{F. H. Iglesias} and \textit{S. Shadrin}, Commun. Math. Phys. 392, No. 1, 55--87 (2022; Zbl 07512341) Full Text: DOI OpenURL
Balseiro, Paula; Sansonetto, Nicola First integrals and symmetries of nonholonomic systems. (English) Zbl 07511057 Arch. Ration. Mech. Anal. 244, No. 2, 343-389 (2022). MSC: 37Jxx 70Fxx 70Hxx PDF BibTeX XML Cite \textit{P. Balseiro} and \textit{N. Sansonetto}, Arch. Ration. Mech. Anal. 244, No. 2, 343--389 (2022; Zbl 07511057) Full Text: DOI OpenURL
Chen, Kuo-Chang Variational aspects of the two-center problem. (English) Zbl 07511053 Arch. Ration. Mech. Anal. 244, No. 2, 225-252 (2022). MSC: 70Fxx 37Jxx 37Nxx PDF BibTeX XML Cite \textit{K.-C. Chen}, Arch. Ration. Mech. Anal. 244, No. 2, 225--252 (2022; Zbl 07511053) Full Text: DOI OpenURL
Chen, Robin Ming; Walsh, Samuel Orbital stability of internal waves. (English) Zbl 07509382 Commun. Math. Phys. 391, No. 3, 1091-1141 (2022). MSC: 76E17 74E30 76B55 76B45 35Q35 PDF BibTeX XML Cite \textit{R. M. Chen} and \textit{S. Walsh}, Commun. Math. Phys. 391, No. 3, 1091--1141 (2022; Zbl 07509382) Full Text: DOI OpenURL
Kallyadan, Sreethin Sreedharan; Shukla, Priyanka Dynamical aspects of a restricted three-vortex problem. (English) Zbl 07506427 IMA J. Appl. Math. 87, No. 1, 1-19 (2022). MSC: 76B47 76M40 37N10 PDF BibTeX XML Cite \textit{S. S. Kallyadan} and \textit{P. Shukla}, IMA J. Appl. Math. 87, No. 1, 1--19 (2022; Zbl 07506427) Full Text: DOI OpenURL
Blackmore, Denis; Prykarpatsky, Yarema; Prytula, Mykola M.; Dutykh, Denys; Prykarpatski, Anatolij K. On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries. (English) Zbl 07506378 Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022). MSC: 17B68 17B80 35Q53 35G25 35N10 37K35 58J70 58J72 34A34 37K05 37K10 PDF BibTeX XML Cite \textit{D. Blackmore} et al., Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022; Zbl 07506378) Full Text: DOI OpenURL
Li, Luen-Chau Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps. (English) Zbl 07506354 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022). MSC: 16T15 37J39 37K25 35Q55 35C08 PDF BibTeX XML Cite \textit{L.-C. Li}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 6, 51 p. (2022; Zbl 07506354) Full Text: DOI OpenURL
Fu, Yayun; Zhao, Yanmin; Hu, Dongdong The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation. (English) Zbl 07504641 Comput. Math. Appl. 113, 86-102 (2022). MSC: 65-XX 37-XX PDF BibTeX XML Cite \textit{Y. Fu} et al., Comput. Math. Appl. 113, 86--102 (2022; Zbl 07504641) Full Text: DOI OpenURL
Giorgilli, Antonio Notes on Hamiltonian dynamical systems (to appear). (English) Zbl 07504269 London Mathematical Society Student Texts 102. Cambridge: Cambridge University Press (ISBN 978-1-00-915113-9/pbk; 978-1-00-915114-6/hbk). (2022). MSC: 37-01 37Kxx PDF BibTeX XML OpenURL
Kayar, Z.; Zafer, A. Lyapunov-type inequalities for higher-dimensional Hamiltonian systems on time scales: a new generalized vector zero approach. (English) Zbl 07503693 J. Math. Anal. Appl. 512, No. 2, Article ID 126177, 16 p. (2022). MSC: 34N05 34B15 37J99 PDF BibTeX XML Cite \textit{Z. Kayar} and \textit{A. Zafer}, J. Math. Anal. Appl. 512, No. 2, Article ID 126177, 16 p. (2022; Zbl 07503693) Full Text: DOI OpenURL
Chen, Fanfan; Qian, Dingbian An extension of the Poincaré-Birkhoff theorem for Hamiltonian systems coupling resonant linear components with twisting components. (English) Zbl 07500536 J. Differ. Equations 321, 415-448 (2022). MSC: 37J45 70H12 PDF BibTeX XML Cite \textit{F. Chen} and \textit{D. Qian}, J. Differ. Equations 321, 415--448 (2022; Zbl 07500536) Full Text: DOI OpenURL
Fairon, Maxime Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems. (Morphismes d’algèbres de (quasi-)Poisson doubles et dualité action-angle de systèmes intégrables.) (English. French summary) Zbl 07500017 Ann. Henri Lebesgue 5, 179-262 (2022). MSC: 16W99 16S38 17B63 70H06 PDF BibTeX XML Cite \textit{M. Fairon}, Ann. Henri Lebesgue 5, 179--262 (2022; Zbl 07500017) Full Text: DOI OpenURL
Zhang, Wen; Yang, Gang; Liao, Fangfang Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition. (English) Zbl 07499559 Complex Var. Elliptic Equ. 67, No. 4, 988-1011 (2022). MSC: 37J45 70H05 PDF BibTeX XML Cite \textit{W. Zhang} et al., Complex Var. Elliptic Equ. 67, No. 4, 988--1011 (2022; Zbl 07499559) Full Text: DOI OpenURL
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 07495621 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 81Pxx 35L70 35P30 47J10 47J35 37K05 PDF BibTeX XML Cite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 07495621) Full Text: DOI OpenURL
Li, Bang-Qing Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients. (English) Zbl 07494136 Int. J. Comput. Math. 99, No. 3, 506-519 (2022). MSC: 30D35 34A05 37K40 PDF BibTeX XML Cite \textit{B.-Q. Li}, Int. J. Comput. Math. 99, No. 3, 506--519 (2022; Zbl 07494136) Full Text: DOI OpenURL
Esen, Ogul; Özcan, Gökhan; Sütlü, Serkan On extensions, Lie-Poisson systems, and dissipation. (English) Zbl 07493084 J. Lie Theory 32, No. 2, 327-382 (2022). MSC: 37J37 53D17 PDF BibTeX XML Cite \textit{O. Esen} et al., J. Lie Theory 32, No. 2, 327--382 (2022; Zbl 07493084) Full Text: arXiv Link OpenURL
Li, Zou; Zhao, Liqin; Wang, Jiaxin The exact bound of the number of limit cycles bifurcating from the global nilpotent center with a nonlinear switching curve. (English) Zbl 07491264 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250024, 20 p. (2022). MSC: 37-XX PDF BibTeX XML Cite \textit{Z. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250024, 20 p. (2022; Zbl 07491264) Full Text: DOI OpenURL
Jia, Hongyan; Chen, Zhonggao; Shi, Wenxin; Qi, Guoyuan A new generalized Hamiltonian chaotic system with transient quasi-periodic flows and intermittent chaos. (English) Zbl 07491262 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250022, 14 p. (2022). MSC: 37-XX PDF BibTeX XML Cite \textit{H. Jia} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 2, Article ID 2250022, 14 p. (2022; Zbl 07491262) Full Text: DOI OpenURL
Ciancio, Armando; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Ilhan, Esin On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. (English) Zbl 07490654 Fractals 30, No. 1, Article ID 2240018, 14 p. (2022). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{A. Ciancio} et al., Fractals 30, No. 1, Article ID 2240018, 14 p. (2022; Zbl 07490654) Full Text: DOI OpenURL
Lemos, Nivaldo A. Complete inequivalence of nonholonomic and vakonomic mechanics. (English) Zbl 07490592 Acta Mech. 233, No. 1, 47-56 (2022). MSC: 70Fxx 70Hxx 70Gxx PDF BibTeX XML Cite \textit{N. A. Lemos}, Acta Mech. 233, No. 1, 47--56 (2022; Zbl 07490592) Full Text: DOI arXiv OpenURL
Patil, Ganesh U.; Matlack, Kathryn H. Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses. (English) Zbl 07490591 Acta Mech. 233, No. 1, 1-46 (2022). MSC: 74Jxx 37Kxx 74-XX PDF BibTeX XML Cite \textit{G. U. Patil} and \textit{K. H. Matlack}, Acta Mech. 233, No. 1, 1--46 (2022; Zbl 07490591) Full Text: DOI OpenURL
Cai, Jiaxiang; Shen, Bangyu Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. (English) Zbl 07490201 Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022). MSC: 37K05 65M06 65P10 PDF BibTeX XML Cite \textit{J. Cai} and \textit{B. Shen}, Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022; Zbl 07490201) Full Text: DOI OpenURL
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians. (English) Zbl 07488751 Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022). MSC: 93Bxx 93Cxx 65Fxx PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022; Zbl 07488751) Full Text: DOI OpenURL
Monvel, Anne Boutet de; Lenells, Jonatan; Shepelsky, Dmitry The focusing NLS equation with step-like oscillating background: the genus \(3\) sector. (English) Zbl 07488567 Commun. Math. Phys. 390, No. 3, 1081-1148 (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{A. B. de Monvel} et al., Commun. Math. Phys. 390, No. 3, 1081--1148 (2022; Zbl 07488567) Full Text: DOI arXiv OpenURL
Tempesta, Piergiulio; Tondo, Giorgio Higher Haantjes brackets and integrability. (English) Zbl 07488544 Commun. Math. Phys. 389, No. 3, 1647-1671 (2022). MSC: 37Kxx 70Hxx 35Qxx PDF BibTeX XML Cite \textit{P. Tempesta} and \textit{G. Tondo}, Commun. Math. Phys. 389, No. 3, 1647--1671 (2022; Zbl 07488544) Full Text: DOI arXiv OpenURL
Killip, Rowan; Vişan, Monica Orbital stability of KdV multisolitons in \(H^{-1}\). (English) Zbl 07488540 Commun. Math. Phys. 389, No. 3, 1445-1473 (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{R. Killip} and \textit{M. Vişan}, Commun. Math. Phys. 389, No. 3, 1445--1473 (2022; Zbl 07488540) Full Text: DOI arXiv OpenURL
Li, Shuangxing; Liu, Si-Qi; Qu, Haonan; Zhang, Youjin Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy. (English) Zbl 07487497 Physica D 433, Article ID 133180, 17 p. (2022). MSC: 37Jxx 35Qxx 37Kxx PDF BibTeX XML Cite \textit{S. Li} et al., Physica D 433, Article ID 133180, 17 p. (2022; Zbl 07487497) Full Text: DOI arXiv OpenURL
Califano, Federico; Rashad, Ramy; Schuller, Frederic P.; Stramigioli, Stefano Energetic decomposition of distributed systems with moving material domains: the port-Hamiltonian model of fluid-structure interaction. (English) Zbl 07485586 J. Geom. Phys. 175, Article ID 104477, 18 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Califano} et al., J. Geom. Phys. 175, Article ID 104477, 18 p. (2022; Zbl 07485586) Full Text: DOI arXiv OpenURL
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles. (English) Zbl 07485572 J. Math. Anal. Appl. 511, No. 2, Article ID 126103, 14 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{J.-J. Yang} et al., J. Math. Anal. Appl. 511, No. 2, Article ID 126103, 14 p. (2022; Zbl 07485572) Full Text: DOI OpenURL
Catalano Ferraioli, Diego; Castro Silva, Tarcísio; Tenenblat, Keti Isometric immersions and differential equations describing pseudospherical surfaces. (English) Zbl 07485565 J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022). MSC: 35Qxx 37Kxx 53Axx PDF BibTeX XML Cite \textit{D. Catalano Ferraioli} et al., J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022; Zbl 07485565) Full Text: DOI arXiv OpenURL
Bao, Jianhai; Wang, Jian Coupling approach for exponential ergodicity of stochastic Hamiltonian systems with Lévy noises. (English) Zbl 07485070 Stochastic Processes Appl. 146, 114-142 (2022). MSC: 60H10 60J60 60J76 PDF BibTeX XML Cite \textit{J. Bao} and \textit{J. Wang}, Stochastic Processes Appl. 146, 114--142 (2022; Zbl 07485070) Full Text: DOI arXiv OpenURL
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 07484264 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37Kxx 35Qxx 39Axx PDF BibTeX XML Cite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 07484264) Full Text: DOI OpenURL
Bakibillah, A. S. M.; Tan, Yong Hwa; Loo, Junn Yong; Tan, Chee Pin; Kamal, M. A. S.; Pu, Ziyuan Robust estimation of traffic density with missing data using an adaptive-R extended Kalman filter. (English) Zbl 07484228 Appl. Math. Comput. 421, Article ID 126915, 13 p. (2022). MSC: 93Exx 37Kxx 35Qxx PDF BibTeX XML Cite \textit{A. S. M. Bakibillah} et al., Appl. Math. Comput. 421, Article ID 126915, 13 p. (2022; Zbl 07484228) Full Text: DOI OpenURL
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Global dynamics in nonconservative nonlinear Schrödinger equations. (English) Zbl 07483908 Adv. Math. 398, Article ID 108234, 70 p. (2022). MSC: 35Q55 35B40 37K99 37M21 PDF BibTeX XML Cite \textit{J. Jaquette} et al., Adv. Math. 398, Article ID 108234, 70 p. (2022; Zbl 07483908) Full Text: DOI arXiv OpenURL
Obradović, Aleksandar; Mitrović, Zoran; Šalinić, Slaviša On the problem of a heavy homogeneous ball rolling without slipping over a fixed surface of revolution. (English) Zbl 07483732 Appl. Math. Comput. 420, Article ID 126906, 9 p. (2022). MSC: 70Exx 70Fxx 37Jxx PDF BibTeX XML Cite \textit{A. Obradović} et al., Appl. Math. Comput. 420, Article ID 126906, 9 p. (2022; Zbl 07483732) Full Text: DOI OpenURL
Chen, Jing; Li, Erbo; Xue, Yushan Evolution of initial discontinuities in the Riemann problem for the Jaulent-Miodek equation with positive dispersion. (English) Zbl 07483696 Appl. Math. Comput. 419, Article ID 126869, 27 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{J. Chen} et al., Appl. Math. Comput. 419, Article ID 126869, 27 p. (2022; Zbl 07483696) Full Text: DOI OpenURL
Wang, Gang; Goertsches, Oliver; Wang, Erxiao Projective loops generate rational loop groups. (English) Zbl 07482200 J. Inst. Math. Jussieu 21, No. 2, 459-485 (2022). MSC: 22E67 37K35 53C43 53Axx PDF BibTeX XML Cite \textit{G. Wang} et al., J. Inst. Math. Jussieu 21, No. 2, 459--485 (2022; Zbl 07482200) Full Text: DOI arXiv OpenURL
Danesi, Veronica; Sansottera, Marco; Paleari, Simone; Penati, Tiziano Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms. (English) Zbl 07474647 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022). MSC: 37Kxx 37Jxx 35Qxx PDF BibTeX XML Cite \textit{V. Danesi} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022; Zbl 07474647) Full Text: DOI arXiv OpenURL
Li, Xing-Lan; Guo, Rui Solitons, breathers coexist with rogue waves for a higher-order coupled nonlinear Schrödinger system. (English) Zbl 07474640 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106244, 16 p. (2022). MSC: 35Qxx 37Kxx 35-XX PDF BibTeX XML Cite \textit{X.-L. Li} and \textit{R. Guo}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106244, 16 p. (2022; Zbl 07474640) Full Text: DOI OpenURL
Kengne, Emmanuel; Liu, WuMing Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift. (English) Zbl 07474638 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022). MSC: 35Qxx 37Kxx 78Axx PDF BibTeX XML Cite \textit{E. Kengne} and \textit{W. Liu}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106240, 18 p. (2022; Zbl 07474638) Full Text: DOI OpenURL
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 07474637 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Qxx 37Kxx 35Pxx PDF BibTeX XML Cite \textit{L.-Y. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022; Zbl 07474637) Full Text: DOI OpenURL
Zhang, Yi Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether’s theorem. (English) Zbl 07474625 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106214, 10 p. (2022). MSC: 70Hxx 49Kxx 70Gxx PDF BibTeX XML Cite \textit{Y. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106214, 10 p. (2022; Zbl 07474625) Full Text: DOI OpenURL
Chen, Peng; Tang, Xianhua; Zhang, Limin Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution. (English) Zbl 07471793 J. Geom. Anal. 32, No. 2, Paper No. 46, 39 p. (2022). MSC: 35J47 35J61 35A01 35A15 PDF BibTeX XML Cite \textit{P. Chen} et al., J. Geom. Anal. 32, No. 2, Paper No. 46, 39 p. (2022; Zbl 07471793) Full Text: DOI OpenURL
Chen, Yin; Geng, Jiansheng Linearly stable KAM tori for higher dimensional Kirchhoff equations. (English) Zbl 07471776 J. Differ. Equations 315, 222-253 (2022). MSC: 35Qxx 37Kxx 35Bxx PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Geng}, J. Differ. Equations 315, 222--253 (2022; Zbl 07471776) Full Text: DOI OpenURL
Alonso-Izquierdo, A.; Nieto, L. M.; Queiroga-Nunes, J. Asymmetric scattering between kinks and wobblers. (English) Zbl 07469357 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106183, 14 p. (2022). MSC: 35Qxx 37Kxx 35-XX PDF BibTeX XML Cite \textit{A. Alonso-Izquierdo} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106183, 14 p. (2022; Zbl 07469357) Full Text: DOI arXiv OpenURL
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022). MSC: 78A60 35Q60 35Q55 35Q41 35C08 37K10 37K35 81V45 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022; Zbl 1481.78025) Full Text: DOI OpenURL
Sun, Yong-Li; Chen, Jing; Ma, Wen-Xiu; Yu, Jian-Ping; Khalique, Chaudry Masood Further study of the localized solutions of the (2+1)-dimensional B-Kadomtsev-Petviashvili equation. (English) Zbl 07469342 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{Y.-L. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106131, 11 p. (2022; Zbl 07469342) Full Text: DOI OpenURL
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. (English) Zbl 07469331 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106097, 21 p. (2022). MSC: 35Qxx 37Kxx 65Nxx PDF BibTeX XML Cite \textit{H.-Y. Tian} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106097, 21 p. (2022; Zbl 07469331) Full Text: DOI OpenURL
Gao, Yu; Liu, Hao; Wong, Tak Kwong Regularity structure of conservative solutions to the Hunter-Saxton equation. (English) Zbl 1482.35059 SIAM J. Math. Anal. 54, No. 1, 423-452 (2022). MSC: 35B65 35A21 37K10 47D06 PDF BibTeX XML Cite \textit{Y. Gao} et al., SIAM J. Math. Anal. 54, No. 1, 423--452 (2022; Zbl 1482.35059) Full Text: DOI arXiv OpenURL
Burgos, J. M.; Maderna, E. Geodesic rays of the \(N\)-body problem. (English) Zbl 07463773 Arch. Ration. Mech. Anal. 243, No. 2, 807-827 (2022). MSC: 70Fxx 70Hxx 34Cxx PDF BibTeX XML Cite \textit{J. M. Burgos} and \textit{E. Maderna}, Arch. Ration. Mech. Anal. 243, No. 2, 807--827 (2022; Zbl 07463773) Full Text: DOI arXiv OpenURL
Kuang, Juhong; Chen, Weiyi; Guo, Zhiming Periodic solutions with prescribed minimal period for second order even Hamiltonian systems. (English) Zbl 07461698 Commun. Pure Appl. Anal. 21, No. 1, 47-59 (2022). MSC: 37J46 37J51 PDF BibTeX XML Cite \textit{J. Kuang} et al., Commun. Pure Appl. Anal. 21, No. 1, 47--59 (2022; Zbl 07461698) Full Text: DOI OpenURL
Demni, Nizar; Hamdi, Tarek Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection. (English) Zbl 07457883 J. Funct. Anal. 282, No. 6, Article ID 109362, 36 p. (2022). MSC: 60J65 PDF BibTeX XML Cite \textit{N. Demni} and \textit{T. Hamdi}, J. Funct. Anal. 282, No. 6, Article ID 109362, 36 p. (2022; Zbl 07457883) Full Text: DOI arXiv OpenURL
Zhao, Xuefeng; Li, Yong Iso-manifold KAM persistence. (English) Zbl 1481.37068 J. Differ. Equations 310, 484-505 (2022). MSC: 37J40 70K55 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{Y. Li}, J. Differ. Equations 310, 484--505 (2022; Zbl 1481.37068) Full Text: DOI OpenURL
Sánchez-Cerritos, Juan Manuel; Pérez-Chavela, Ernesto Hyperbolic regularization of the restricted three-body problem on curved spaces. (English) Zbl 07452161 Anal. Math. Phys. 12, No. 1, Paper No. 23, 26 p. (2022). MSC: 70Fxx 70Hxx 70-XX PDF BibTeX XML Cite \textit{J. M. Sánchez-Cerritos} and \textit{E. Pérez-Chavela}, Anal. Math. Phys. 12, No. 1, Paper No. 23, 26 p. (2022; Zbl 07452161) Full Text: DOI OpenURL
Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. (English) Zbl 1479.35216 Appl. Math. Lett. 125, Article ID 107735, 8 p. (2022). MSC: 35C08 35Q51 35Q55 37K10 PDF BibTeX XML Cite \textit{W. Weng} et al., Appl. Math. Lett. 125, Article ID 107735, 8 p. (2022; Zbl 1479.35216) Full Text: DOI OpenURL
Li, Qianqian; Shan, Wenrui; Wang, Panpan; Cui, Haoguang Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients. (English) Zbl 07443103 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106098, 12 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{Q. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106098, 12 p. (2022; Zbl 07443103) Full Text: DOI OpenURL
Shi, Guanghua; Yan, Dongfeng Quasi-periodic solutions for the generalized Bejamin-Bona-Mahony equation. (English) Zbl 07443094 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106091, 19 p. (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{G. Shi} and \textit{D. Yan}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106091, 19 p. (2022; Zbl 07443094) Full Text: DOI arXiv OpenURL
Mounouna, Félix Gounoko; Wamba, Etienne; Tchakoutio Nguetcho, Aurélien Serge; Bhat, Ishfaq Ahmad; Bilbault, Jean Marie Modulational stability brought by cubic-quartic interactions of the nearest-neighbor in FK model subjected in a parametrized on-site potential. (English) Zbl 07443091 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106088, 15 p. (2022). MSC: 35Qxx 37Kxx 35-XX PDF BibTeX XML Cite \textit{F. G. Mounouna} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106088, 15 p. (2022; Zbl 07443091) Full Text: DOI OpenURL
Zhang, Xue; Wang, Lei; Chen, Wei-Qin; Yao, Xue-Min; Wang, Xin; Zhao, Yin-Chuan Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms. (English) Zbl 07443080 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022). MSC: 35Qxx 37Kxx 35Cxx PDF BibTeX XML Cite \textit{X. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106070, 17 p. (2022; Zbl 07443080) Full Text: DOI OpenURL
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. (English) Zbl 07443077 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{W.-Q. Peng} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106067, 15 p. (2022; Zbl 07443077) Full Text: DOI arXiv OpenURL
Nozaleda, Daniel Reyes; Tempesta, Piergiulio; Tondo, Giorgio Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry. (English) Zbl 07427989 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106021, 25 p. (2022). MSC: 70Hxx 37Jxx 37Kxx PDF BibTeX XML Cite \textit{D. R. Nozaleda} et al., Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106021, 25 p. (2022; Zbl 07427989) Full Text: DOI arXiv OpenURL
Wang, Yu-Feng; Liu, Nan; Guo, Bo-Ling Long-time asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation. (English) Zbl 07413075 J. Math. Anal. Appl. 506, No. 1, Article ID 125560, 23 p. (2022). MSC: 35Qxx 37Kxx 41Axx PDF BibTeX XML Cite \textit{Y.-F. Wang} et al., J. Math. Anal. Appl. 506, No. 1, Article ID 125560, 23 p. (2022; Zbl 07413075) Full Text: DOI OpenURL
Wang, Zhaoyu; Chen, Meisen; Fan, Engui Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum. (English) Zbl 07413037 J. Math. Anal. Appl. 505, No. 2, Article ID 125635, 34 p. (2022). MSC: 35Qxx 35Bxx 37Kxx PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Math. Anal. Appl. 505, No. 2, Article ID 125635, 34 p. (2022; Zbl 07413037) Full Text: DOI arXiv OpenURL
Liao, Fangfang; Zhang, Wen New asymptotically quadratic conditions for Hamiltonian elliptic systems. (English) Zbl 1473.35134 Adv. Nonlinear Anal. 11, 469-481 (2022). MSC: 35J10 35J47 35A01 35J20 PDF BibTeX XML Cite \textit{F. Liao} and \textit{W. Zhang}, Adv. Nonlinear Anal. 11, 469--481 (2022; Zbl 1473.35134) Full Text: DOI OpenURL
Euler, Norbert (ed.); Zhang, Da-jun (ed.) Nonlinear systems and their remarkable mathematical structures. Volume 3. Contributions from China. (English) Zbl 1479.37002 Boca Raton, FL: CRC Press (ISBN 978-0-367-54108-8/hbk; 978-0-367-54112-5/pbk; 978-1-003-08767-0/ebook). xiv, 495 p. (2022). Reviewer: Giuseppe Gaeta (Milano) MSC: 37-06 34-06 70-06 37Jxx 37Kxx 70Fxx 70Gxx 70Hxx 70Kxx 00B15 PDF BibTeX XML Cite \textit{N. Euler} (ed.) and \textit{D.-j. Zhang} (ed.), Nonlinear systems and their remarkable mathematical structures. Volume 3. Contributions from China. Boca Raton, FL: CRC Press (2022; Zbl 1479.37002) Full Text: DOI OpenURL
Euler, Norbert (ed.); Nucci, Maria Clara (ed.); Zhang, Da-Jun (ed.) Nonlinear systems and their remarkable mathematical structures. Volumes 1, 2, and 3. (English) Zbl 07390272 Boca Raton, FL: CRC Press (ISBN 978-0-367-20854-7/hbk). 1648 p. (2022). MSC: 37-06 35-06 37Kxx 35Qxx PDF BibTeX XML Cite \textit{N. Euler} (ed.) et al., Nonlinear systems and their remarkable mathematical structures. Volumes 1, 2, and 3. Boca Raton, FL: CRC Press (2022; Zbl 07390272) OpenURL
Hasan-Zadeh, Atefeh Dynamic optimal control problems in Hamiltonian and Lagrangian systems. (English) Zbl 07527526 Adv. Differ. Equ. Control Process. 24, No. 2, 175-185 (2021). MSC: 37J06 PDF BibTeX XML Cite \textit{A. Hasan-Zadeh}, Adv. Differ. Equ. Control Process. 24, No. 2, 175--185 (2021; Zbl 07527526) Full Text: DOI OpenURL
Bambe Moutsinga, Claude Rodrigue; Pindza, Edson; Maré, Eben Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems. (English) Zbl 07514621 Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021). MSC: 37K10 44A15 45K05 65M12 65M70 PDF BibTeX XML Cite \textit{C. R. Bambe Moutsinga} et al., Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021; Zbl 07514621) Full Text: DOI OpenURL
Pustovoitov, S. E. Topological analysis of an elliptic billiard in a fourth-order potential field. (English. Russian original) Zbl 07514308 Mosc. Univ. Math. Bull. 76, No. 5, 193-205 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 5, 8-19 (2021). MSC: 37Jxx 37Dxx 70Hxx PDF BibTeX XML Cite \textit{S. E. Pustovoitov}, Mosc. Univ. Math. Bull. 76, No. 5, 193--205 (2021; Zbl 07514308); translation from Vestn. Mosk. Univ., Ser. I 76, No. 5, 8--19 (2021) Full Text: DOI OpenURL
Lohmayer, Markus; Kotyczka, Paul; Leyendecker, Sigrid Exergetic port-Hamiltonian systems: modelling basics. (English) Zbl 07507186 Math. Comput. Model. Dyn. Syst. 27, No. 1, 489-521 (2021). MSC: 80A05 37K06 37K25 70H05 PDF BibTeX XML Cite \textit{M. Lohmayer} et al., Math. Comput. Model. Dyn. Syst. 27, No. 1, 489--521 (2021; Zbl 07507186) Full Text: DOI OpenURL
Altmann, R.; Mehrmann, V.; Unger, B. Port-Hamiltonian formulations of poroelastic network models. (English) Zbl 07507184 Math. Comput. Model. Dyn. Syst. 27, No. 1, 429-452 (2021). MSC: 70-XX 74-XX PDF BibTeX XML Cite \textit{R. Altmann} et al., Math. Comput. Model. Dyn. Syst. 27, No. 1, 429--452 (2021; Zbl 07507184) Full Text: DOI OpenURL
An, Dong; Cheng, Sara Y.; Head-Gordon, Teresa; Lin, Lin; Lu, Jianfeng Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation. (English) Zbl 07505948 J. Comput. Phys. 438, Article ID 110338, 25 p. (2021). MSC: 60Jxx 60Hxx 82Cxx PDF BibTeX XML Cite \textit{D. An} et al., J. Comput. Phys. 438, Article ID 110338, 25 p. (2021; Zbl 07505948) Full Text: DOI OpenURL
Tong, Yunjin; Xiong, Shiying; He, Xingzhe; Pan, Guanghan; Zhu, Bo Symplectic neural networks in Taylor series form for Hamiltonian systems. (English) Zbl 07505909 J. Comput. Phys. 437, Article ID 110325, 21 p. (2021). MSC: 68Txx 70Hxx 35Qxx PDF BibTeX XML Cite \textit{Y. Tong} et al., J. Comput. Phys. 437, Article ID 110325, 21 p. (2021; Zbl 07505909) Full Text: DOI OpenURL
Yumagulov, M. G.; Ibragimova, L. S.; Belova, A. S. First approximation formulas in the problem of perturbation of definite and indefinite multipliers of linear Hamiltonian systems. (English) Zbl 07503358 Lobachevskii J. Math. 42, No. 15, 3773-3783 (2021). MSC: 70-XX 93-XX PDF BibTeX XML Cite \textit{M. G. Yumagulov} et al., Lobachevskii J. Math. 42, No. 15, 3773--3783 (2021; Zbl 07503358) Full Text: DOI OpenURL
Shamolin, M. V. Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds. (English. Russian original) Zbl 07503286 Dokl. Math. 104, No. 3, 394-398 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 89-94 (2021). MSC: 37Jxx 70Hxx 00Axx PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 104, No. 3, 394--398 (2021; Zbl 07503286); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 89--94 (2021) Full Text: DOI OpenURL
Yumagulov, Marat Gayazovich; Ibragimova, Liliya Sunagatovna; Belova, Anna Sergeevna Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems. (Russian. English summary) Zbl 07501564 Ufim. Mat. Zh. 13, No. 3, 178-195 (2021); translation in Ufa Math. J. 13, No. 3, 174-190 (2021). MSC: 70-XX 34-XX PDF BibTeX XML Cite \textit{M. G. Yumagulov} et al., Ufim. Mat. Zh. 13, No. 3, 178--195 (2021; Zbl 07501564); translation in Ufa Math. J. 13, No. 3, 174--190 (2021) Full Text: DOI MNR OpenURL
Croydon, David A.; Sasada, Makiko Discrete integrable systems and Pitman’s transformation. (English) Zbl 07500585 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, 381-403 (2021). MSC: 37K60 37B15 37K10 37L40 60G50 82B99 PDF BibTeX XML Cite \textit{D. A. Croydon} and \textit{M. Sasada}, Adv. Stud. Pure Math. 87, 381--403 (2021; Zbl 07500585) Full Text: DOI OpenURL
Reshetikhin, Nicolai; Schrader, Gus Superintegrability of generalized Toda models on symmetric spaces. (English) Zbl 07500484 Int. Math. Res. Not. 2021, No. 17, 12993-13010 (2021). MSC: 37Kxx 37Jxx 53Dxx PDF BibTeX XML Cite \textit{N. Reshetikhin} and \textit{G. Schrader}, Int. Math. Res. Not. 2021, No. 17, 12993--13010 (2021; Zbl 07500484) Full Text: DOI OpenURL
Bardin, Boris S.; Chekina, Evgeniya A. On the orbital stability of pendulum-like oscillations of a heavy rigid body with a fixed point in the Bobylev-Steklov case. (English) Zbl 07499147 Nelineĭn. Din. 17, No. 4, 453-464 (2021). MSC: 70K30 70K45 37N05 PDF BibTeX XML Cite \textit{B. S. Bardin} and \textit{E. A. Chekina}, Nelineĭn. Din. 17, No. 4, 453--464 (2021; Zbl 07499147) Full Text: DOI MNR OpenURL
Xiong, Jiaming; Jia, Yan-Bin; Liu, Caishan Symmetry and relative equilibria of a bicycle system. (English) Zbl 07499143 Nelineĭn. Din. 17, No. 4, 391-411 (2021). MSC: 37J60 70H14 PDF BibTeX XML Cite \textit{J. Xiong} et al., Nelineĭn. Din. 17, No. 4, 391--411 (2021; Zbl 07499143) Full Text: DOI MNR 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