Chen, Yuanyuan; Yu, Jiang Limit cycles bifurcating from a class of cubic Hamiltonian systems. (English) Zbl 07546056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022). MSC: 34Cxx 37Gxx 37Jxx PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022; Zbl 07546056) Full Text: DOI OpenURL
Wu, Yusen; Yue, Haitao Weak bi-center and bifurcation of critical periods in a three-dimensional symmetric quadratic system. (English) Zbl 07546048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250080, 10 p. (2022). MSC: 34Cxx 37Gxx 37Jxx PDF BibTeX XML Cite \textit{Y. Wu} and \textit{H. Yue}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250080, 10 p. (2022; Zbl 07546048) 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
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
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: 37Jxx 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
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
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
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
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
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
Phung, Xuan Kien Shadowing for families of endomorphisms of generalized group shifts. (English) Zbl 07451267 Discrete Contin. Dyn. Syst. 42, No. 1, 285-299 (2022). MSC: 37B51 37B65 37B10 14L10 PDF BibTeX XML Cite \textit{X. K. Phung}, Discrete Contin. Dyn. Syst. 42, No. 1, 285--299 (2022; Zbl 07451267) 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
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
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
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
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
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
Shamolin, M. V. New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds. (English. Russian original) Zbl 07492947 Dokl. Math. 104, No. 2, 285-292 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 78-86 (2021). MSC: 37Jxx 70Hxx 37Kxx PDF BibTeX XML Cite \textit{M. V. Shamolin}, Dokl. Math. 104, No. 2, 285--292 (2021; Zbl 07492947); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 78--86 (2021) Full Text: DOI OpenURL
Mizuno, Yuta; Takigawa, Mikoto; Miyashita, Saki; Nagahata, Yutaka; Teramoto, Hiroshi; Komatsuzaki, Tamiki An algorithm for computing phase space structures in chemical reaction dynamics using Voronoi tessellation. (English) Zbl 07479399 Physica D 428, Article ID 133047, 17 p. (2021). Reviewer: Dieter Erle (Dortmund) MSC: 92E20 65L50 34C45 37J99 37N25 81V55 PDF BibTeX XML Cite \textit{Y. Mizuno} et al., Physica D 428, Article ID 133047, 17 p. (2021; Zbl 07479399) Full Text: DOI OpenURL
Kilin, Alexander A.; Pivovarova, Elena N. A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane. (English) Zbl 07472287 Regul. Chaotic Dyn. 26, No. 6, 775-786 (2021). MSC: 37J35 37J60 70F25 70E18 PDF BibTeX XML Cite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 26, No. 6, 775--786 (2021; Zbl 07472287) Full Text: DOI OpenURL
Kozlov, Valery V. Integrals of circulatory systems which are quadratic in momenta. (English) Zbl 07472277 Regul. Chaotic Dyn. 26, No. 6, 647-657 (2021). MSC: 37J06 37J35 37N05 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Regul. Chaotic Dyn. 26, No. 6, 647--657 (2021; Zbl 07472277) Full Text: DOI OpenURL
Cao, Zhenbang; Li, Denghui; Grebogi, Celso; Yue, Yuan; Xie, Jianhua On the global dynamical properties of a Fermi-Ulam model. (English) Zbl 07463885 J. Difference Equ. Appl. 27, No. 12, 1647-1656 (2021). MSC: 37J46 37E40 70F35 70E55 PDF BibTeX XML Cite \textit{Z. Cao} et al., J. Difference Equ. Appl. 27, No. 12, 1647--1656 (2021; Zbl 07463885) Full Text: DOI OpenURL
de León, Manuel; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Constrained Lagrangian dissipative contact dynamics. (English) Zbl 07452078 J. Math. Phys. 62, No. 12, 122902, 23 p. (2021). MSC: 70H30 70F25 37J46 37J55 37J60 PDF BibTeX XML Cite \textit{M. de León} et al., J. Math. Phys. 62, No. 12, 122902, 23 p. (2021; Zbl 07452078) Full Text: DOI arXiv OpenURL
Sun, Yueqin; Shen, Jianhua Lyapunov inequalities of impulsive linear Hamilton system. (Chinese. English summary) Zbl 07448373 J. Hangzhou Norm. Univ., Nat. Sci. 20, No. 3, 289-294 (2021). MSC: 37Jxx PDF BibTeX XML Cite \textit{Y. Sun} and \textit{J. Shen}, J. Hangzhou Norm. Univ., Nat. Sci. 20, No. 3, 289--294 (2021; Zbl 07448373) Full Text: DOI OpenURL
Hirakui, Yuma; Yajima, Takahiro Geometrical classification of self-similar motion of two-dimensional three point vortex system by deviation curvature on Jacobi field. (English) Zbl 1483.37070 Adv. Math. Phys. 2021, Article ID 9979529, 14 p. (2021). MSC: 37J25 37J39 37D40 70G45 PDF BibTeX XML Cite \textit{Y. Hirakui} and \textit{T. Yajima}, Adv. Math. Phys. 2021, Article ID 9979529, 14 p. (2021; Zbl 1483.37070) Full Text: DOI OpenURL
Gotoda, Takeshi Self-similar motions and related relative equilibria in the \(N\)-point vortex system. (English) Zbl 07430373 J. Dyn. Differ. Equations 33, No. 4, 1759-1777 (2021). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J25 70H14 70H05 70K42 65P40 PDF BibTeX XML Cite \textit{T. Gotoda}, J. Dyn. Differ. Equations 33, No. 4, 1759--1777 (2021; Zbl 07430373) Full Text: DOI arXiv OpenURL
Barutello, Vivina; Canneori, Gian Marco; Terracini, Susanna Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies. (English) Zbl 07430054 Arch. Ration. Mech. Anal. 242, No. 3, 1749-1834 (2021). MSC: 70Fxx 37Jxx 37Dxx PDF BibTeX XML Cite \textit{V. Barutello} et al., Arch. Ration. Mech. Anal. 242, No. 3, 1749--1834 (2021; Zbl 07430054) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V.; Kharcheva, I. S. Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 1485.37056 Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37C83 37J35 37G10 37J20 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 212, No. 8, 1122--1179 (2021; Zbl 1485.37056); translation from Mat. Sb. 212, No. 8, 89--150 (2021) Full Text: DOI OpenURL
Mailybaev, Alexei A. Solvable intermittent shell model of turbulence. (English) Zbl 1481.76108 Commun. Math. Phys. 388, No. 1, 469-478 (2021). MSC: 76F20 76-10 PDF BibTeX XML Cite \textit{A. A. Mailybaev}, Commun. Math. Phys. 388, No. 1, 469--478 (2021; Zbl 1481.76108) Full Text: DOI arXiv OpenURL
Li, Yongjun; Romanovski, Valery G. Isochronous solutions of a 3-dim symmetric quadratic system. (English) Zbl 07424154 Appl. Math. Comput. 405, Article ID 126250, 12 p. (2021). MSC: 37Jxx 34Cxx PDF BibTeX XML Cite \textit{Y. Li} and \textit{V. G. Romanovski}, Appl. Math. Comput. 405, Article ID 126250, 12 p. (2021; Zbl 07424154) Full Text: DOI 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
de Lucas, J.; Zawora, B. M. A time-dependent energy-momentum method. (English) Zbl 07416014 J. Geom. Phys. 170, Article ID 104364, 22 p. (2021). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J25 37J39 37J35 37J65 37C60 70H14 53D20 PDF BibTeX XML Cite \textit{J. de Lucas} and \textit{B. M. Zawora}, J. Geom. Phys. 170, Article ID 104364, 22 p. (2021; Zbl 07416014) Full Text: DOI arXiv OpenURL
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – II. (English) Zbl 1481.37070 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150188, 10 p. (2021). MSC: 37J46 37M21 PDF BibTeX XML Cite \textit{M. Katsanikas} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150188, 10 p. (2021; Zbl 1481.37070) Full Text: DOI arXiv OpenURL
Boţ, Radu Ioan; Nguyen, Dang-Khoa Improved convergence rates and trajectory convergence for primal-dual dynamical systems with vanishing damping. (English) Zbl 1481.37072 J. Differ. Equations 303, 369-406 (2021). MSC: 37J51 49K15 46N10 65K10 PDF BibTeX XML Cite \textit{R. I. Boţ} and \textit{D.-K. Nguyen}, J. Differ. Equations 303, 369--406 (2021; Zbl 1481.37072) Full Text: DOI arXiv OpenURL
Bolotin, Sergey Shadowing homoclinic chains to a symplectic critical manifold. (English) Zbl 07403644 Anal. Theory Appl. 37, No. 1, 1-23 (2021). MSC: 37C50 37J46 37C29 70K44 PDF BibTeX XML Cite \textit{S. Bolotin}, Anal. Theory Appl. 37, No. 1, 1--23 (2021; Zbl 07403644) Full Text: DOI OpenURL
Sultanov, O. A. Lyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equations. (English. Russian original) Zbl 1482.37053 J. Math. Sci., New York 258, No. 1, 97-109 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 96-107 (2019). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J25 37J40 37C75 34D05 34E05 34D20 34C29 PDF BibTeX XML Cite \textit{O. A. Sultanov}, J. Math. Sci., New York 258, No. 1, 97--109 (2021; Zbl 1482.37053); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 96--107 (2019) Full Text: DOI OpenURL
Geng, Y.; Katsanikas, M.; Agaoglou, M.; Wiggins, S. The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface. (English) Zbl 1481.37056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2130034, 11 p. (2021). Reviewer: Joseph Páez Chávez (Guayaquil) MSC: 37J20 37J25 37G10 37G25 PDF BibTeX XML Cite \textit{Y. Geng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 11, Article ID 2130034, 11 p. (2021; Zbl 1481.37056) Full Text: DOI arXiv OpenURL
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. (English) Zbl 1479.37085 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2130028, 20 p. (2021). MSC: 37M21 37J46 70H12 PDF BibTeX XML Cite \textit{M. Katsanikas} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2130028, 20 p. (2021; Zbl 1479.37085) Full Text: DOI OpenURL
Hitchin, Nigel Integrable systems and special Kähler metrics. (English) Zbl 1470.14066 EMS Surv. Math. Sci. 8, No. 1-2, 163-178 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14H70 37J99 53D05 53C55 PDF BibTeX XML Cite \textit{N. Hitchin}, EMS Surv. Math. Sci. 8, No. 1--2, 163--178 (2021; Zbl 1470.14066) Full Text: DOI arXiv OpenURL
Chapman, Adam; Vishkautsan, Solomon Fixed points of polynomials over division rings. (English) Zbl 1485.16024 Bull. Aust. Math. Soc. 104, No. 2, 256-262 (2021). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 16S36 16K20 37C25 37P35 PDF BibTeX XML Cite \textit{A. Chapman} and \textit{S. Vishkautsan}, Bull. Aust. Math. Soc. 104, No. 2, 256--262 (2021; Zbl 1485.16024) Full Text: DOI arXiv OpenURL
Wei, Lijun; Zhang, Qingjing; Zhang, Xiang On limit cycles near two centres and a double homoclinic loop in Liénard differential system. (English) Zbl 1482.34098 J. Differ. Equations 300, 226-251 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C29 37M20 37J40 34C23 34C05 PDF BibTeX XML Cite \textit{L. Wei} et al., J. Differ. Equations 300, 226--251 (2021; Zbl 1482.34098) Full Text: DOI OpenURL
Montes, J.; Revuelta, F.; Borondo, F. Lagrangian descriptors and regular motion. (English) Zbl 1477.37091 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105860, 10 p. (2021). MSC: 37M21 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{J. Montes} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105860, 10 p. (2021; Zbl 1477.37091) Full Text: DOI OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval. (English) Zbl 1478.37057 J. Differ. Equations 298, 1-29 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J06 37J51 34B24 37N35 15A10 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, J. Differ. Equations 298, 1--29 (2021; Zbl 1478.37057) Full Text: DOI OpenURL
Prokofev, V.; Zabrodin, A. Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. (English) Zbl 1475.37074 J. Math. Phys. 62, No. 6, 061502, 20 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 37K10 37K20 37J35 PDF BibTeX XML Cite \textit{V. Prokofev} and \textit{A. Zabrodin}, J. Math. Phys. 62, No. 6, 061502, 20 p. (2021; Zbl 1475.37074) Full Text: DOI arXiv OpenURL
Zhu, Jun; Li, Ze Periodic variation solutions and tori like solutions for stochastic Hamiltonian systems. (English) Zbl 1474.37056 Math. Appl. 34, No. 2, 477-488 (2021). MSC: 37H10 37J40 37J46 60H10 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{Z. Li}, Math. Appl. 34, No. 2, 477--488 (2021; Zbl 1474.37056) OpenURL
Adamopoulou, P.; Konstantinou-Rizos, S.; Papamikos, G. Integrable extensions of the Adler map via Grassmann algebras. (English. Russian original) Zbl 1467.37058 Theor. Math. Phys. 207, No. 2, 553-559 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 179-187 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J35 37J37 39A36 15A75 17B38 PDF BibTeX XML Cite \textit{P. Adamopoulou} et al., Theor. Math. Phys. 207, No. 2, 553--559 (2021; Zbl 1467.37058); translation from Teor. Mat. Fiz. 207, No. 2, 179--187 (2021) Full Text: DOI arXiv OpenURL
Jain, M.; Bamal, B.; Jain, S. R. Limit distribution of the nodal domain number for the right-isosceles triangle billiard. (English. Russian original) Zbl 1473.37035 Theor. Math. Phys. 207, No. 1, 483-486 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 99-103 (2021). MSC: 37C83 37J35 PDF BibTeX XML Cite \textit{M. Jain} et al., Theor. Math. Phys. 207, No. 1, 483--486 (2021; Zbl 1473.37035); translation from Teor. Mat. Fiz. 207, No. 1, 99--103 (2021) Full Text: DOI OpenURL
Pan, Wujiu; Ling, Liangyu; Qu, Haoyong; Wang, Minghai Analysis of complex modal instability of a minimal friction self-excited vibration system from multiscale fractal surface topography. (English) Zbl 1485.74035 Eur. J. Mech., A, Solids 87, Article ID 104226, 13 p. (2021). MSC: 74H55 74M10 74M15 74S05 28A80 PDF BibTeX XML Cite \textit{W. Pan} et al., Eur. J. Mech., A, Solids 87, Article ID 104226, 13 p. (2021; Zbl 1485.74035) Full Text: DOI OpenURL
Yang, Junmin; Yu, Pei; Han, Maoan On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \). (English) Zbl 1471.37055 J. Differ. Equations 291, 27-56 (2021). MSC: 37J20 37G15 37C29 PDF BibTeX XML Cite \textit{J. Yang} et al., J. Differ. Equations 291, 27--56 (2021; Zbl 1471.37055) Full Text: DOI OpenURL
Tian, Huanhuan; Han, Maoan Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. (English) Zbl 07360890 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5581-5599 (2021). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 37J20 37G15 34A36 34C23 34C05 34C07 70K50 70H33 PDF BibTeX XML Cite \textit{H. Tian} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5581--5599 (2021; Zbl 07360890) Full Text: DOI OpenURL
Sakhnovich, Alexander On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory. (English) Zbl 1471.34008 Doc. Math. 26, 583-615 (2021). MSC: 34A05 34B09 34B20 34L40 37J06 46N20 81Q05 PDF BibTeX XML Cite \textit{A. Sakhnovich}, Doc. Math. 26, 583--615 (2021; Zbl 1471.34008) Full Text: DOI arXiv OpenURL
Pustovoitov, Sergey E. Topological analysis of a billiard bounded by confocal quadrics in a potential field. (English. Russian original) Zbl 1468.37028 Sb. Math. 212, No. 2, 211-233 (2021); translation from Mat. Sb. 212, No. 2, 81-105 (2021). MSC: 37C83 37J35 37J39 PDF BibTeX XML Cite \textit{S. E. Pustovoitov}, Sb. Math. 212, No. 2, 211--233 (2021; Zbl 1468.37028); translation from Mat. Sb. 212, No. 2, 81--105 (2021) Full Text: DOI OpenURL
Lerman, L. M.; Trifonov, K. N. Saddle-center and periodic orbit: dynamics near symmetric heteroclinic connection. (English) Zbl 1465.37074 Chaos 31, No. 2, 023113, 17 p. (2021). MSC: 37J46 37C29 37C27 PDF BibTeX XML Cite \textit{L. M. Lerman} and \textit{K. N. Trifonov}, Chaos 31, No. 2, 023113, 17 p. (2021; Zbl 1465.37074) Full Text: DOI arXiv OpenURL
Akahori, Jirô; Nagata, Kensuke; Suzuki, Kota Completely solvable stochastic Hamiltonian system describing a continuous-time integrated climate-economy model. (English) Zbl 1464.37054 JSIAM Lett. 13, 5-8 (2021). MSC: 37H10 37J99 37N10 60H10 34F05 86A08 PDF BibTeX XML Cite \textit{J. Akahori} et al., JSIAM Lett. 13, 5--8 (2021; Zbl 1464.37054) Full Text: DOI OpenURL
Guo, Jutong; He, Jingsong; Li, Maohua; Mihalache, Dumitru Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation. (English) Zbl 07318194 Math. Comput. Simul. 180, 251-257 (2021). MSC: 37Kxx 58Jxx 35Qxx 37Jxx PDF BibTeX XML Cite \textit{J. Guo} et al., Math. Comput. Simul. 180, 251--257 (2021; Zbl 07318194) Full Text: DOI OpenURL
Rizvi, Syed Tahir Raza; Khan, Salah Ud-Din; Hassan, Mohsan; Fatima, Ishrat; Khan, Shahab Ud-Din Stable propagation of optical solitons for nonlinear Schrödinger equation with dispersion and self phase modulation. (English) Zbl 07318170 Math. Comput. Simul. 179, 126-136 (2021). MSC: 37Kxx 58Jxx 35Qxx 37Jxx PDF BibTeX XML Cite \textit{S. T. R. Rizvi} et al., Math. Comput. Simul. 179, 126--136 (2021; Zbl 07318170) Full Text: DOI OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Distribution and number of focal points for linear Hamiltonian systems. (English) Zbl 1460.37082 Linear Algebra Appl. 611, 26-45 (2021). MSC: 37N35 34L15 37J37 93C15 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, Linear Algebra Appl. 611, 26--45 (2021; Zbl 1460.37082) Full Text: DOI OpenURL
Nobe, Atsushi; Matsukidaira, Junta Periodicity, linearizability, and integrability in seed mutations of type \(\boldsymbol{A}_N^{(1)}\). (English) Zbl 1475.37064 J. Math. Phys. 62, No. 1, 013510, 24 p. (2021). Reviewer: Agustín Moreno Cañadas (Bogotá) MSC: 37J37 37J70 13F60 16G20 PDF BibTeX XML Cite \textit{A. Nobe} and \textit{J. Matsukidaira}, J. Math. Phys. 62, No. 1, 013510, 24 p. (2021; Zbl 1475.37064) Full Text: DOI arXiv OpenURL
Nikolov, Svetoslav G.; Vassilev, Vassil M. Completely integrable dynamical systems of Hopf-Langford type. (English) Zbl 1454.37056 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105464, 9 p. (2021). MSC: 37J35 70H06 PDF BibTeX XML Cite \textit{S. G. Nikolov} and \textit{V. M. Vassilev}, Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105464, 9 p. (2021; Zbl 1454.37056) Full Text: DOI OpenURL
Glick, Max The limit point of the pentagram map. (English) Zbl 1484.37075 Int. Math. Res. Not. 2020, No. 9, 2818-2831 (2020). MSC: 37J70 37J39 52A10 PDF BibTeX XML Cite \textit{M. Glick}, Int. Math. Res. Not. 2020, No. 9, 2818--2831 (2020; Zbl 1484.37075) Full Text: DOI arXiv OpenURL
Vedyushkina, V. V.; Kibkalo, V. A. Realization of the numerical invariant of the Seifert fibration of integrable systems by billiards. (English. Russian original) Zbl 1468.37049 Mosc. Univ. Math. Bull. 75, No. 4, 161-168 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 22-28 (2020). MSC: 37J39 37J35 37C83 37M21 PDF BibTeX XML Cite \textit{V. V. Vedyushkina} and \textit{V. A. Kibkalo}, Mosc. Univ. Math. Bull. 75, No. 4, 161--168 (2020; Zbl 1468.37049); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 22--28 (2020) Full Text: DOI OpenURL
Kharcheva, I. S. Isoenergetic manifolds of integrable billiard books. (English. Russian original) Zbl 1473.37070 Mosc. Univ. Math. Bull. 75, No. 4, 149-160 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12-22 (2020). MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{I. S. Kharcheva}, Mosc. Univ. Math. Bull. 75, No. 4, 149--160 (2020; Zbl 1473.37070); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12--22 (2020) Full Text: DOI OpenURL
Shen, Xiaona; Feng, Jinqian; Ren, Yifan Chaotic motion of shape memory alloy beam model with asymmetric structure. (Chinese. English summary) Zbl 1474.74061 Basic Sci. J. Text. Univ. 33, No. 3, 99-105 (2020). MSC: 74H65 74K10 74D99 37J46 37N15 37D45 PDF BibTeX XML Cite \textit{X. Shen} et al., Basic Sci. J. Text. Univ. 33, No. 3, 99--105 (2020; Zbl 1474.74061) Full Text: DOI OpenURL
Xu, Xiaodan; Si, Wen; Si, Jianguo Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. (English) Zbl 1470.70026 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286-2321 (2020). MSC: 70K43 70H08 52C23 37A60 37J40 PDF BibTeX XML Cite \textit{X. Xu} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286--2321 (2020; Zbl 1470.70026) Full Text: DOI OpenURL
Bobenko, Alexander I.; Schief, Wolfgang K.; Suris, Yuri B.; Techter, Jan On a discretization of confocal quadrics. A geometric approach to general parametrizations. (English) Zbl 1466.37056 Int. Math. Res. Not. 2020, No. 24, 10180-10230 (2020). Reviewer: Paul Melotti (Paris) MSC: 37K25 39A36 37K60 51A50 51A15 51A45 51B05 51E14 PDF BibTeX XML Cite \textit{A. I. Bobenko} et al., Int. Math. Res. Not. 2020, No. 24, 10180--10230 (2020; Zbl 1466.37056) Full Text: DOI arXiv OpenURL
Ruan, Yuan L. A tale of two approaches to heteroclinic solutions for \(\Phi\)-Laplacian systems. (English) Zbl 1461.37066 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2535-2572 (2020). MSC: 37J46 37C29 PDF BibTeX XML Cite \textit{Y. L. Ruan}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2535--2572 (2020; Zbl 1461.37066) Full Text: DOI OpenURL
Belozerov, Gleb V. Topological classification of integrable geodesic billiards on quadrics in three-dimensional Euclidean space. (English. Russian original) Zbl 1460.37058 Sb. Math. 211, No. 11, 1503-1538 (2020); translation from Mat. Sb. 211, No. 11, 3-40 (2020). MSC: 37J39 37J35 37C83 PDF BibTeX XML Cite \textit{G. V. Belozerov}, Sb. Math. 211, No. 11, 1503--1538 (2020; Zbl 1460.37058); translation from Mat. Sb. 211, No. 11, 3--40 (2020) Full Text: DOI OpenURL
Roy, Sumit Hitchin fibration on moduli of symplectic and orthogonal parabolic Higgs bundles. (English) Zbl 1457.14064 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 41, 12 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H10 14D20 37J99 14H40 14K10 PDF BibTeX XML Cite \textit{S. Roy}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 41, 12 p. (2020; Zbl 1457.14064) Full Text: DOI arXiv OpenURL
Moges, H. T.; Manos, Th.; Skokos, Ch. On the behavior of the generalized alignment index (GALI) method for regular motion in multidimensional Hamiltonian systems. (English) Zbl 1452.65396 Nonlinear Phenom. Complex Syst., Minsk 23, No. 2, 153-164 (2020). MSC: 65P10 37M25 37J46 PDF BibTeX XML Cite \textit{H. T. Moges} et al., Nonlinear Phenom. Complex Syst., Minsk 23, No. 2, 153--164 (2020; Zbl 1452.65396) Full Text: DOI arXiv OpenURL
Tsamparlis, Michael; Mitsopoulos, Antonios Quadratic first integrals of autonomous conservative dynamical systems. (English) Zbl 1477.70034 J. Math. Phys. 61, No. 7, 072703, 37 p. (2020). MSC: 70H33 37J06 PDF BibTeX XML Cite \textit{M. Tsamparlis} and \textit{A. Mitsopoulos}, J. Math. Phys. 61, No. 7, 072703, 37 p. (2020; Zbl 1477.70034) Full Text: DOI arXiv OpenURL
Bolotin, Sergey V. Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system. (English. Russian original) Zbl 1476.70069 Proc. Steklov Inst. Math. 310, 12-24 (2020); translation from Tr. Mat. Inst. Steklova 310, 19-32 (2020). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70H06 70K70 37J46 37J11 34C37 37C29 PDF BibTeX XML Cite \textit{S. V. Bolotin}, Proc. Steklov Inst. Math. 310, 12--24 (2020; Zbl 1476.70069); translation from Tr. Mat. Inst. Steklova 310, 19--32 (2020) Full Text: DOI OpenURL
Nikolaenko, Stanislav S. Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds. (English. Russian original) Zbl 1456.37062 Sb. Math. 211, No. 8, 1127-1158 (2020); translation from Mat. Sb. 211, No. 8, 68-101 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J20 37J35 37C15 37G10 58K45 70H06 PDF BibTeX XML Cite \textit{S. S. Nikolaenko}, Sb. Math. 211, No. 8, 1127--1158 (2020; Zbl 1456.37062); translation from Mat. Sb. 211, No. 8, 68--101 (2020) Full Text: DOI OpenURL
Barseghyan, V. R. About one problem of optimal control of string oscillations with non-separated multipoint conditions at intermediate moments of time. (English) Zbl 1452.74082 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 13-25 (2020). MSC: 74M05 74H45 74K05 PDF BibTeX XML Cite \textit{V. R. Barseghyan}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 13--25 (2020; Zbl 1452.74082) Full Text: DOI OpenURL
Nijhoff, Frank (ed.); Shi, Yang (ed.); Zhang, Da-jun (ed.) [Joshi, Nalini] 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. (English) Zbl 1459.00016 Springer Proceedings in Mathematics & Statistics 338. Cham: Springer (ISBN 978-3-030-56999-0/hbk; 978-3-030-57000-2/ebook). viii, 237 p. (2020). MSC: 00B25 37-06 37Jxx 37Kxx PDF BibTeX XML Cite \textit{F. Nijhoff} (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 (2020; Zbl 1459.00016) Full Text: DOI OpenURL
Lamb, Jeroen S. W.; Lima, Mauricio F. S.; Martins, Ricardo M.; Teixeira, Marco Antonio; Yang, Jiazhong On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in \(\mathbb{R}^4\). (English) Zbl 1452.37065 J. Differ. Equations 269, No. 12, 11366-11395 (2020). MSC: 37J40 37C15 PDF BibTeX XML Cite \textit{J. S. W. Lamb} et al., J. Differ. Equations 269, No. 12, 11366--11395 (2020; Zbl 1452.37065) Full Text: DOI OpenURL
Kobtsev, I. F. An elliptic billiard in a potential force field: classification of motions, topological analysis. (English. Russian original) Zbl 1448.37066 Sb. Math. 211, No. 7, 987-1013 (2020); translation from Mat. Sb. 211, No. 7, 93-120 (2020). MSC: 37J35 37C83 37G10 70H06 70E40 PDF BibTeX XML Cite \textit{I. F. Kobtsev}, Sb. Math. 211, No. 7, 987--1013 (2020; Zbl 1448.37066); translation from Mat. Sb. 211, No. 7, 93--120 (2020) Full Text: DOI OpenURL
Thomine, Damien Keplerian shear in ergodic theory. (Le cisaillement Keplérien en théorie ergodique.) (English. French summary) Zbl 1451.37083 Ann. Henri Lebesgue 3, 649-676 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J35 37A25 70F15 37N05 PDF BibTeX XML Cite \textit{D. Thomine}, Ann. Henri Lebesgue 3, 649--676 (2020; Zbl 1451.37083) Full Text: DOI arXiv OpenURL
Sun, Xianbo; Yu, Pei Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop. (English) Zbl 1452.34043 J. Differ. Equations 269, No. 11, 9224-9253 (2020). MSC: 34C07 34C05 34C23 34E10 37G20 37J40 34C37 PDF BibTeX XML Cite \textit{X. Sun} and \textit{P. Yu}, J. Differ. Equations 269, No. 11, 9224--9253 (2020; Zbl 1452.34043) Full Text: DOI OpenURL
Guo, Zijun; Zhang, Qingye Existence of solutions to fractional Hamiltonian systems with local superquadratic conditions. (English) Zbl 1451.34009 Electron. J. Differ. Equ. 2020, Paper No. 29, 12 p. (2020). MSC: 34A08 26A33 37J99 47J30 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{Q. Zhang}, Electron. J. Differ. Equ. 2020, Paper No. 29, 12 p. (2020; Zbl 1451.34009) Full Text: Link OpenURL
Borisov, Alexey V.; Mikishanina, Evgeniya A. Two nonholonomic chaotic systems. II: On the rolling of a nonholonomic bundle of two bodies. (English) Zbl 1450.37060 Regul. Chaotic Dyn. 25, No. 4, 392-400 (2020). MSC: 37J60 37J39 70E55 70F25 70K55 PDF BibTeX XML Cite \textit{A. V. Borisov} and \textit{E. A. Mikishanina}, Regul. Chaotic Dyn. 25, No. 4, 392--400 (2020; Zbl 1450.37060) Full Text: DOI OpenURL
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI arXiv OpenURL
Alho, A.; Calogero, S. Static self-gravitating Newtonian elastic balls. (English) Zbl 1448.74020 Arch. Ration. Mech. Anal. 238, No. 2, 639-669 (2020). MSC: 74B20 74B05 74G22 35Q74 35Q75 85A99 PDF BibTeX XML Cite \textit{A. Alho} and \textit{S. Calogero}, Arch. Ration. Mech. Anal. 238, No. 2, 639--669 (2020; Zbl 1448.74020) Full Text: DOI arXiv OpenURL
Modin, Klas; Verdier, Olivier What makes nonholonomic integrators work? (English) Zbl 1447.37068 Numer. Math. 145, No. 2, 405-435 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 65P10 37J60 37J40 70F25 37N30 65D30 37J35 PDF BibTeX XML Cite \textit{K. Modin} and \textit{O. Verdier}, Numer. Math. 145, No. 2, 405--435 (2020; Zbl 1447.37068) Full Text: DOI arXiv OpenURL
Vedyushkina, Viktoriya V. Integrable billiard systems realize toric foliations on Lens spaces and the 3-torus. (English. Russian original) Zbl 1443.37043 Sb. Math. 211, No. 2, 201-225 (2020); translation from Mat. Sb. 211, No. 2, 46-73 (2020). MSC: 37J35 37J39 37D40 37J20 70E40 PDF BibTeX XML Cite \textit{V. V. Vedyushkina}, Sb. Math. 211, No. 2, 201--225 (2020; Zbl 1443.37043); translation from Mat. Sb. 211, No. 2, 46--73 (2020) Full Text: DOI OpenURL
Karginova, Ekaterina E. Billiards bounded by arcs of confocal quadrics on the Minkowski plane. (English. Russian original) Zbl 1443.37042 Sb. Math. 211, No. 1, 1-28 (2020); translation from Mat. Sb. 211, No. 1, 3-31 (2020). MSC: 37J35 37J39 37C83 PDF BibTeX XML Cite \textit{E. E. Karginova}, Sb. Math. 211, No. 1, 1--28 (2020; Zbl 1443.37042); translation from Mat. Sb. 211, No. 1, 3--31 (2020) Full Text: DOI OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Singular Sturmian comparison theorems for linear Hamiltonian systems. (English) Zbl 1442.37114 J. Differ. Equations 269, No. 4, 2920-2955 (2020). MSC: 37N35 37J46 93C05 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, J. Differ. Equations 269, No. 4, 2920--2955 (2020; Zbl 1442.37114) Full Text: DOI OpenURL
Rauch-Wojciechowski, Stefan; Przybylska, Maria On dynamics of Jellet’s egg. Asymptotic solutions revisited. (English) Zbl 1434.70019 Regul. Chaotic Dyn. 25, No. 1, 40-58 (2020). MSC: 70E18 70F40 37M05 37J60 37J25 PDF BibTeX XML Cite \textit{S. Rauch-Wojciechowski} and \textit{M. Przybylska}, Regul. Chaotic Dyn. 25, No. 1, 40--58 (2020; Zbl 1434.70019) Full Text: DOI OpenURL
García-Garrido, Víctor J.; Naik, Shibabrat; Wiggins, Stephen Tilting and squeezing: phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics. (English) Zbl 1442.37069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2030008, 35 p. (2020). MSC: 37J20 37N25 70K50 PDF BibTeX XML Cite \textit{V. J. García-Garrido} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2030008, 35 p. (2020; Zbl 1442.37069) Full Text: DOI arXiv OpenURL
Shimomura, Takashi Bratteli-Vershik models and graph covering models. (English) Zbl 1441.37015 Adv. Math. 367, Article ID 107127, 54 p. (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37E25 37B51 PDF BibTeX XML Cite \textit{T. Shimomura}, Adv. Math. 367, Article ID 107127, 54 p. (2020; Zbl 1441.37015) Full Text: DOI arXiv OpenURL
Chen, Ting; Li, Shimin; Llibre, Jaume \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields. (English) Zbl 1471.37056 J. Differ. Equations 269, No. 1, 832-861 (2020). Reviewer: Valery A. Gaiko (Minsk) MSC: 37J25 37J20 37C81 34C05 34C07 70K05 PDF BibTeX XML Cite \textit{T. Chen} et al., J. Differ. Equations 269, No. 1, 832--861 (2020; Zbl 1471.37056) Full Text: DOI OpenURL
Wu, Jiankun; Xie, Feng Darboux polynomials and rational first integrals of the nonstretching Rolie-Poly model. (English) Zbl 1439.37058 Appl. Math. Lett. 105, Article ID 106329, 13 p. (2020). MSC: 37J35 37C79 34C14 PDF BibTeX XML Cite \textit{J. Wu} and \textit{F. Xie}, Appl. Math. Lett. 105, Article ID 106329, 13 p. (2020; Zbl 1439.37058) Full Text: DOI OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case. (English) Zbl 1439.37088 J. Math. Anal. Appl. 487, No. 2, Article ID 124030, 14 p. (2020). MSC: 37N35 37J99 70Q05 93B05 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, J. Math. Anal. Appl. 487, No. 2, Article ID 124030, 14 p. (2020; Zbl 1439.37088) Full Text: DOI OpenURL
Ramassamy, Sanjay Miquel dynamics for circle patterns. (English) Zbl 1432.37041 Int. Math. Res. Not. 2020, No. 3, 813-852 (2020). MSC: 37C05 52C26 37J35 14H70 PDF BibTeX XML Cite \textit{S. Ramassamy}, Int. Math. Res. Not. 2020, No. 3, 813--852 (2020; Zbl 1432.37041) Full Text: DOI arXiv OpenURL
Beck, Margaret; Chaudhary, Osman; Wayne, C. Eugene Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity. (English) Zbl 1434.35085 Arch. Ration. Mech. Anal. 235, No. 2, 1105-1149 (2020). MSC: 35Q35 35M10 76R10 76R50 34A35 37L10 PDF BibTeX XML Cite \textit{M. Beck} et al., Arch. Ration. Mech. Anal. 235, No. 2, 1105--1149 (2020; Zbl 1434.35085) Full Text: DOI arXiv OpenURL
Hofbauer-Tsiflakos, Michael Certain systems of three falling balls satisfy the Chernov-Sinai ansatz. (English) Zbl 1437.37029 Stud. Math. 250, No. 2, 163-192 (2020). Reviewer: Yan Qi (Xiamen) MSC: 37C40 37A30 37J40 37A25 37C83 PDF BibTeX XML Cite \textit{M. Hofbauer-Tsiflakos}, Stud. Math. 250, No. 2, 163--192 (2020; Zbl 1437.37029) Full Text: DOI arXiv OpenURL
Euler, Norbert (ed.); Nucci, Maria Clara (ed.) Nonlinear systems and their remarkable mathematical structures. Volume 2. (English) Zbl 1436.37001 Boca Raton, FL: CRC Press (ISBN 978-0-367-20847-9/hbk; 978-0-429-26374-3/ebook). xiv, 526 p. (2020). Reviewer: Giuseppe Gaeta (Milano) MSC: 37-01 34-01 70-01 37Jxx 37Kxx 70Fxx 70Gxx 70Hxx 70Kxx PDF BibTeX XML Cite \textit{N. Euler} (ed.) and \textit{M. C. Nucci} (ed.), Nonlinear systems and their remarkable mathematical structures. Volume 2. Boca Raton, FL: CRC Press (2020; Zbl 1436.37001) Full Text: DOI OpenURL
de Lucas, Javier; Sardón Muñoz, Cristina A guide to Lie systems with compatible geometric structures. (English) Zbl 1455.37001 Hackensack, NJ: World Scientific (ISBN 978-1-78634-697-1/hbk; 978-1-78634-699-5/ebook). xv, 408 p. (2020). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37-01 53-01 37Jxx 37Kxx 53Axx 53Dxx 70G65 70H33 70G45 PDF BibTeX XML Cite \textit{J. de Lucas} and \textit{C. Sardón Muñoz}, A guide to Lie systems with compatible geometric structures. Hackensack, NJ: World Scientific (2020; Zbl 1455.37001) Full Text: DOI OpenURL