Duan, Huagui; Liu, Hui; Long, Yiming; Wang, Wei Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond. (English) Zbl 07807087 J. Funct. Anal. 286, No. 7, Article ID 110352, 41 p. (2024). MSC: 53A07 53C22 58E05 37J46 34C25 PDFBibTeX XMLCite \textit{H. Duan} et al., J. Funct. Anal. 286, No. 7, Article ID 110352, 41 p. (2024; Zbl 07807087) Full Text: DOI arXiv
Fabert, Oliver Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion. (English) Zbl 07793152 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 3, 17 p. (2024). MSC: 37J46 37J12 37J39 37J40 53D40 PDFBibTeX XMLCite \textit{O. Fabert}, J. Fixed Point Theory Appl. 26, No. 1, Paper No. 3, 17 p. (2024; Zbl 07793152) Full Text: DOI arXiv OA License
He, Xiaolong Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation. (English) Zbl 07791842 J. Differ. Equations 380, 360-403 (2024). MSC: 37J40 37J46 37C55 34K19 34K27 PDFBibTeX XMLCite \textit{X. He}, J. Differ. Equations 380, 360--403 (2024; Zbl 07791842) Full Text: DOI
Fonda, Alessandro; Ullah, Wahid Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions. (English) Zbl 07791810 J. Differ. Equations 379, 148-174 (2024). MSC: 37J46 70H12 70H14 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{W. Ullah}, J. Differ. Equations 379, 148--174 (2024; Zbl 07791810) Full Text: DOI
Ghisi, Marina; Gobbino, Massimo A road map to the blow-up for a Kirchhoff equation with external force. (English) Zbl 07781014 Nonlinearity 37, No. 1, Article ID 015012, 26 p. (2024). MSC: 35B44 35L72 35L90 37J46 PDFBibTeX XMLCite \textit{M. Ghisi} and \textit{M. Gobbino}, Nonlinearity 37, No. 1, Article ID 015012, 26 p. (2024; Zbl 07781014) Full Text: DOI arXiv OA License
Caballero, Daniel A.; Wayne, C. Eugene Damped and driven breathers and metastability. (English) Zbl 07776361 Q. Appl. Math. 82, No. 1, 7-33 (2024). MSC: 35Q55 37J25 37J46 35C08 35B10 39A14 35B35 PDFBibTeX XMLCite \textit{D. A. Caballero} and \textit{C. E. Wayne}, Q. Appl. Math. 82, No. 1, 7--33 (2024; Zbl 07776361) Full Text: DOI arXiv
Paternain, Miguel Periodic orbits of Tonelli Lagrangians with prescribed action or period. (English) Zbl 07757743 Proc. Am. Math. Soc. 152, No. 1, 209-222 (2024). MSC: 37J46 37J40 70H12 PDFBibTeX XMLCite \textit{M. Paternain}, Proc. Am. Math. Soc. 152, No. 1, 209--222 (2024; Zbl 07757743) Full Text: DOI
Masci, Leonardo A Poincaré-Birkhoff Theorem for Asymptotically Linear Hamiltonian Diffeomorphisms. arXiv:2403.01855 Preprint, arXiv:2403.01855 [math.SG] (2024). MSC: 37J12 37J46 53D40 BibTeX Cite \textit{L. Masci}, ``A Poincar\'e-Birkhoff Theorem for Asymptotically Linear Hamiltonian Diffeomorphisms'', Preprint, arXiv:2403.01855 [math.SG] (2024) Full Text: arXiv OA License
Hohloch, Sonja Homoclinic Floer homology via direct limits. arXiv:2402.12345 Preprint, arXiv:2402.12345 [math.SG] (2024). MSC: 34C37 37C29 37G20 37J46 53D12 53D40 57R58 70K44 BibTeX Cite \textit{S. Hohloch}, ``Homoclinic Floer homology via direct limits'', Preprint, arXiv:2402.12345 [math.SG] (2024) Full Text: arXiv OA License
Capiński, Maciej J.; Pasiut, Aleksander Oscillatory collision approach in the Earth-Moon restricted three body problem. arXiv:2401.12386 Preprint, arXiv:2401.12386 [math.DS] (2024). MSC: 37C29 37J46 70F07 BibTeX Cite \textit{M. J. Capiński} and \textit{A. Pasiut}, ``Oscillatory collision approach in the Earth-Moon restricted three body problem'', Preprint, arXiv:2401.12386 [math.DS] (2024) Full Text: arXiv OA License
Meiwes, Matthias On the barcode entropy of Lagrangian submanifolds. arXiv:2401.07034 Preprint, arXiv:2401.07034 [math.DS] (2024). MSC: 37E30 53D40 37J11 37J46 BibTeX Cite \textit{M. Meiwes}, ``On the barcode entropy of Lagrangian submanifolds'', Preprint, arXiv:2401.07034 [math.DS] (2024) Full Text: arXiv OA License
Fonda, Alessandro; Ortega, Rafael A two-point boundary value problem associated with Hamiltonian systems on a cylinder. (English) Zbl 07783227 Rend. Circ. Mat. Palermo (2) 72, No. 8, 3931-3947 (2023). MSC: 37J46 37J51 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{R. Ortega}, Rend. Circ. Mat. Palermo (2) 72, No. 8, 3931--3947 (2023; Zbl 07783227) Full Text: DOI OA License
Treschev, D. V. On isochronicity. (English. Russian original) Zbl 07781674 Proc. Steklov Inst. Math. 322, 198-223 (2023); translation from Tr. Mat. Inst. Steklova 322, 206-232 (2023). MSC: 70H12 37J46 PDFBibTeX XMLCite \textit{D. V. Treschev}, Proc. Steklov Inst. Math. 322, 198--223 (2023; Zbl 07781674); translation from Tr. Mat. Inst. Steklova 322, 206--232 (2023) Full Text: DOI
Bolotin, Sergey V. Separatrix maps in slow-fast Hamiltonian systems. (English. Russian original) Zbl 07781661 Proc. Steklov Inst. Math. 322, 32-51 (2023); translation from Tr. Mat. Inst. Steklova 322, 38-57 (2023). MSC: 37J46 70K70 PDFBibTeX XMLCite \textit{S. V. Bolotin}, Proc. Steklov Inst. Math. 322, 32--51 (2023; Zbl 07781661); translation from Tr. Mat. Inst. Steklova 322, 38--57 (2023) Full Text: DOI
Osterman, Otto Vaughn On length spectrum rigidity of dispersing billiard systems. (English) Zbl 07775757 J. Mod. Dyn. 19, 847-878 (2023). MSC: 37C83 37C27 37J46 PDFBibTeX XMLCite \textit{O. V. Osterman}, J. Mod. Dyn. 19, 847--878 (2023; Zbl 07775757) Full Text: DOI arXiv
Uribe, Marco; Quispe, Margarita Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five. (English) Zbl 07757188 Differ. Equ. Dyn. Syst. 31, No. 4, 743-765 (2023). MSC: 37J46 34C29 70H12 PDFBibTeX XMLCite \textit{M. Uribe} and \textit{M. Quispe}, Differ. Equ. Dyn. Syst. 31, No. 4, 743--765 (2023; Zbl 07757188) Full Text: DOI
Hryniewicz, Umberto L.; Salomão, Pedro A. S.; Wysocki, Krzysztof Genus zero global surfaces of section for Reeb flows and a result of Birkhoff. (English) Zbl 07755540 J. Eur. Math. Soc. (JEMS) 25, No. 9, 3365-3451 (2023). MSC: 37J39 37J46 37E35 37J55 53D10 32Q65 PDFBibTeX XMLCite \textit{U. L. Hryniewicz} et al., J. Eur. Math. Soc. (JEMS) 25, No. 9, 3365--3451 (2023; Zbl 07755540) Full Text: DOI arXiv
Li, Yuxi; Wei, Zhouchao; Zhang, Wei; Kapitaniak, Tomasz Melnikov-type method for chaos in a class of hybrid piecewise-smooth systems with impact and noise excitation under unilateral rigid constraint. (English) Zbl 1525.37032 Appl. Math. Modelling 122, 506-523 (2023). MSC: 37D45 37J46 37J40 34A36 34C28 34C37 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Modelling 122, 506--523 (2023; Zbl 1525.37032) Full Text: DOI
Tian, Yuzhou; Wei, Qiaoling; Zhang, Meirong On the polynomial integrability of the critical systems for optimal eigenvalue gaps. (English) Zbl 1521.34026 J. Math. Phys. 64, No. 9, Article ID 092701, 18 p. (2023). MSC: 34B24 37J35 37J11 37J46 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Math. Phys. 64, No. 9, Article ID 092701, 18 p. (2023; Zbl 1521.34026) Full Text: DOI
Benhassine, A. Two different sequences of infinitely many homoclinic solutions for a class of fractional Hamiltonian systems. (English) Zbl 1528.37053 Ukr. Math. J. 75, No. 2, 175-189 (2023) and Ukr. Mat. Zh. 75, No. 2, 155-167 (2023). MSC: 37J46 34A08 26A33 PDFBibTeX XMLCite \textit{A. Benhassine}, Ukr. Math. J. 75, No. 2, 175--189 (2023; Zbl 1528.37053) Full Text: DOI
Ma, Zhichao; Xu, Junxiang A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. (English) Zbl 07741055 Proc. Am. Math. Soc. 151, No. 10, 4191-4197 (2023). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J40 37E40 37E45 37J35 37J11 37J46 70K43 70H08 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{J. Xu}, Proc. Am. Math. Soc. 151, No. 10, 4191--4197 (2023; Zbl 07741055) Full Text: DOI
Knauf, Andreas Mini-course: classical mechanics and transport. (English) Zbl 1520.37004 J. Math. Phys. 64, No. 8, Article ID 082903, 15 p. (2023). MSC: 37-02 70-02 37J40 37J46 70H08 PDFBibTeX XMLCite \textit{A. Knauf}, J. Math. Phys. 64, No. 8, Article ID 082903, 15 p. (2023; Zbl 1520.37004) Full Text: DOI
Fonda, Alessandro; Garzón, Manuel; Sfecci, Andrea An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions. (English) Zbl 07732459 J. Math. Anal. Appl. 528, No. 2, Article ID 127599, 33 p. (2023). Reviewer: Juan Manuel Burgos (Ciudad de México) MSC: 37J46 37J51 37J20 37J25 37J35 37J40 70H12 PDFBibTeX XMLCite \textit{A. Fonda} et al., J. Math. Anal. Appl. 528, No. 2, Article ID 127599, 33 p. (2023; Zbl 07732459) Full Text: DOI
Elyseeva, Julia; Šepitka, Peter; Šimon Hilscher, Roman Oscillation numbers for continuous Lagrangian paths and Maslov index. (English) Zbl 07729213 J. Dyn. Differ. Equations 35, No. 3, 2589-2620 (2023). Reviewer: Manuel de León (Madrid) MSC: 37J51 37J46 34C10 53D12 11P82 PDFBibTeX XMLCite \textit{J. Elyseeva} et al., J. Dyn. Differ. Equations 35, No. 3, 2589--2620 (2023; Zbl 07729213) Full Text: DOI arXiv
Fonda, Alessandro; Toader, Rodica Subharmonic solutions of weakly coupled Hamiltonian systems. (English) Zbl 07729205 J. Dyn. Differ. Equations 35, No. 3, 2337-2353 (2023). MSC: 37J46 31A05 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{R. Toader}, J. Dyn. Differ. Equations 35, No. 3, 2337--2353 (2023; Zbl 07729205) Full Text: DOI
Liu, Chungen; Wang, Qi The existence of periodic solutions for second-order delay differential systems. (English) Zbl 07729191 J. Dyn. Differ. Equations 35, No. 3, 1993-2011 (2023). Reviewer: Anatoli F. Ivanov (Lehman) MSC: 34K13 34K17 37J46 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Q. Wang}, J. Dyn. Differ. Equations 35, No. 3, 1993--2011 (2023; Zbl 07729191) Full Text: DOI
Li, Zhanyong; Tang, Yaozong; Sha Bier, A. Mina; Ye, Jianguo Periodic dynamics of a class of non-autonomous contact Hamiltonian systems. (English) Zbl 1519.37070 J. Nonlinear Math. Phys. 30, No. 2, 663-676 (2023). MSC: 37J55 37J65 37J46 37J25 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Nonlinear Math. Phys. 30, No. 2, 663--676 (2023; Zbl 1519.37070) Full Text: DOI
Zhou, Xing The \(0:1\) resonance bifurcation associated with the supercritical Hamiltonian pitchfork bifurcation. (English) Zbl 1528.37047 Dyn. Syst. 38, No. 3, 427-452 (2023). MSC: 37J20 37J46 70H33 70K50 70K44 PDFBibTeX XMLCite \textit{X. Zhou}, Dyn. Syst. 38, No. 3, 427--452 (2023; Zbl 1528.37047) Full Text: DOI
Ovsyannikov, Ivan; Rademacher, Jens D. M.; Welter, Roland; Lu, Bing-ying Time averages and periodic attractors at high Rayleigh number for Lorenz-like models. (English) Zbl 1523.37067 J. Nonlinear Sci. 33, No. 5, Paper No. 73, 39 p. (2023); correction ibid. 33, No. 5, Paper No. 92, 1 p. (2023). MSC: 37J40 37J46 37J20 37G15 37D45 PDFBibTeX XMLCite \textit{I. Ovsyannikov} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 73, 39 p. (2023; Zbl 1523.37067) Full Text: DOI arXiv
Alberti, Angelo; Vidal, Claudio; Vidarte, Jhon Periodic solutions, KAM tori, and bifurcations in the planar anisotropic Schwarzschild-type problem. (English) Zbl 1528.37050 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1053-1075 (2023). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J40 37J20 37J25 37J46 70H08 70K43 70K65 PDFBibTeX XMLCite \textit{A. Alberti} et al., SIAM J. Appl. Dyn. Syst. 22, No. 2, 1053--1075 (2023; Zbl 1528.37050) Full Text: DOI
Aydin, Cengiz Symplectic splitting of Hamiltonian structures and reduced monodromy matrices. (English) Zbl 1523.37065 Linear Algebra Appl. 674, 426-441 (2023). MSC: 37J06 37J11 37J12 37J46 70F07 PDFBibTeX XMLCite \textit{C. Aydin}, Linear Algebra Appl. 674, 426--441 (2023; Zbl 1523.37065) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. Dynamics of an unbalanced disk with a single nonholonomic constraint. (English) Zbl 1522.37075 Regul. Chaotic Dyn. 28, No. 1, 78-106 (2023). MSC: 37J60 37J25 37J46 70E18 70E50 PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 28, No. 1, 78--106 (2023; Zbl 1522.37075) Full Text: DOI
Bolotin, Sergey V.; Treschev, Dmitry V. Quasiperiodic version of Gordon’s theorem. (English) Zbl 1522.37072 Regul. Chaotic Dyn. 28, No. 1, 5-13 (2023). MSC: 37J46 37J40 37J35 37J51 70H08 70H33 70H30 PDFBibTeX XMLCite \textit{S. V. Bolotin} and \textit{D. V. Treschev}, Regul. Chaotic Dyn. 28, No. 1, 5--13 (2023; Zbl 1522.37072) Full Text: DOI
Lu, Lin; He, Xiaokai; Chen, Aiyong Monotonicity and asymptotic analysis of the period function of nearly parallel vortex filaments model. (English) Zbl 1528.37054 Appl. Math. Lett. 144, Article ID 108717, 8 p. (2023). MSC: 37J46 34C05 PDFBibTeX XMLCite \textit{L. Lu} et al., Appl. Math. Lett. 144, Article ID 108717, 8 p. (2023; Zbl 1528.37054) Full Text: DOI
Ye, Tiefeng; Liu, Wenbin; Shen, Tengfei Existence of nontrivial rotating periodic solutions for second-order Hamiltonian systems. (English) Zbl 07708803 Appl. Math. Lett. 142, Article ID 108630, 8 p. (2023). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37J51 PDFBibTeX XMLCite \textit{T. Ye} et al., Appl. Math. Lett. 142, Article ID 108630, 8 p. (2023; Zbl 07708803) Full Text: DOI
Liu, Guanggang; Li, Yong; Yang, Xue Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition. (English) Zbl 07707638 J. Differ. Equations 369, 229-252 (2023). Reviewer: Diogo Pinheiro (New York) MSC: 37J46 37B30 70H12 PDFBibTeX XMLCite \textit{G. Liu} et al., J. Differ. Equations 369, 229--252 (2023; Zbl 07707638) Full Text: DOI
Izydorek, Marek; Janczewska, Joanna; Soares, Pedro A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems. (English) Zbl 1521.37067 Commun. Contemp. Math. 25, No. 6, Article ID 2250011, 10 p. (2023). MSC: 37J46 49J35 PDFBibTeX XMLCite \textit{M. Izydorek} et al., Commun. Contemp. Math. 25, No. 6, Article ID 2250011, 10 p. (2023; Zbl 1521.37067) Full Text: DOI
Capiński, Maciej J.; Kepley, Shane; Mireles James, J. D. Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem. (English) Zbl 1520.37058 J. Differ. Equations 366, 132-191 (2023). MSC: 37N05 37C29 37J46 70F07 70F15 68V05 PDFBibTeX XMLCite \textit{M. J. Capiński} et al., J. Differ. Equations 366, 132--191 (2023; Zbl 1520.37058) Full Text: DOI arXiv
Chor, Arnon; Meiwes, Matthias Hofer’s geometry and topological entropy. (English) Zbl 1527.37044 Compos. Math. 159, No. 6, 1250-1299 (2023). Reviewer: Héctor Barge (Madrid) MSC: 37E30 37B40 37J46 37C05 53D40 PDFBibTeX XMLCite \textit{A. Chor} and \textit{M. Meiwes}, Compos. Math. 159, No. 6, 1250--1299 (2023; Zbl 1527.37044) Full Text: DOI arXiv
Quan, Tingting; Li, Jing; Zhu, Shaotao; Sun, Min Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application. (English) Zbl 1519.37055 J. Dyn. Differ. Equations 35, No. 2, 1243-1271 (2023). MSC: 37J20 37J46 70H12 PDFBibTeX XMLCite \textit{T. Quan} et al., J. Dyn. Differ. Equations 35, No. 2, 1243--1271 (2023; Zbl 1519.37055) Full Text: DOI
Najafi Alishah, Hassan; Duarte, Pedro; Peixe, Telmo Asymptotic dynamics of Hamiltonian polymatrix replicators. (English) Zbl 1520.37049 Nonlinearity 36, No. 6, 3182-3218 (2023). MSC: 37J46 37J06 52B10 52B11 91A22 PDFBibTeX XMLCite \textit{H. Najafi Alishah} et al., Nonlinearity 36, No. 6, 3182--3218 (2023; Zbl 1520.37049) Full Text: DOI arXiv
Ou, Yuwei; Sun, Jiexin Linear stability of the elliptic relative equilibrium with \((1+7)\)-gon central configuration in planar \(N\)-body problem. (English) Zbl 1520.37043 Discrete Contin. Dyn. Syst. 43, No. 2, 559-567 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J25 70F10 37J46 53D12 PDFBibTeX XMLCite \textit{Y. Ou} and \textit{J. Sun}, Discrete Contin. Dyn. Syst. 43, No. 2, 559--567 (2023; Zbl 1520.37043) Full Text: DOI
Corona, Dario; Giambò, Roberto; Giannoni, Fabio; Piccione, Paolo On the relative category in the brake orbits problem. (English) Zbl 1514.58010 Topol. Methods Nonlinear Anal. 61, No. 1, 199-215 (2023). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E05 58E10 37J46 PDFBibTeX XMLCite \textit{D. Corona} et al., Topol. Methods Nonlinear Anal. 61, No. 1, 199--215 (2023; Zbl 1514.58010) Full Text: DOI
Zhang, Qingye; Liu, Chungen Homoclinic solutions near the origin for a class of first order Hamiltonian systems. (English) Zbl 1524.37057 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1195-1210 (2023). MSC: 37J46 37J51 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Liu}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1195--1210 (2023; Zbl 1524.37057) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Obstructions to integrability of nearly integrable dynamical systems near regular level sets. (English) Zbl 1525.37056 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 44, 28 p. (2023). Reviewer: Huang Kaiyin (Singapur) MSC: 37J30 37K35 37J46 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 44, 28 p. (2023; Zbl 1525.37056) Full Text: DOI arXiv
Berger, Pierre Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface. (Coexistence de comportements chaotiques et elliptiques parmi les symplectomorphismes analytiques de toute surface.) (English. French summary) Zbl 1521.37068 J. Éc. Polytech., Math. 10, 525-547 (2023). MSC: 37J70 37J46 37J35 37F80 37E30 37D45 37D25 PDFBibTeX XMLCite \textit{P. Berger}, J. Éc. Polytech., Math. 10, 525--547 (2023; Zbl 1521.37068) Full Text: DOI arXiv
Zhuang, Ziwei; Liu, Changjian Critical periods of the sum of two quasi-homogeneous Hamiltonian vector fields. (English) Zbl 1525.37070 Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 90, 15 p. (2023). MSC: 37J46 70H12 PDFBibTeX XMLCite \textit{Z. Zhuang} and \textit{C. Liu}, Qual. Theory Dyn. Syst. 22, No. 3, Paper No. 90, 15 p. (2023; Zbl 1525.37070) Full Text: DOI
Burago, Dmitri; Chen, Dong; Ivanov, Sergei Flexibility of sections of nearly integrable Hamiltonian systems. (English) Zbl 1517.37061 Commun. Contemp. Math. 25, No. 4, Article ID 2250028, 23 p. (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J11 37J39 37J46 53D12 53C60 70K43 70H08 PDFBibTeX XMLCite \textit{D. Burago} et al., Commun. Contemp. Math. 25, No. 4, Article ID 2250028, 23 p. (2023; Zbl 1517.37061) Full Text: DOI arXiv
Fan, Feiting; Chen, Xingwu Expressions and evolution of traveling wave solutions in a generalized two-component rotation b-family system. (English) Zbl 1511.35072 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 68, 39 p. (2023). MSC: 35C07 35C08 35G55 37G10 37J46 PDFBibTeX XMLCite \textit{F. Fan} and \textit{X. Chen}, Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 68, 39 p. (2023; Zbl 1511.35072) Full Text: DOI
Gong, Wenmin Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds. (English) Zbl 1516.53035 Differ. Geom. Appl. 87, Article ID 101977, 34 p. (2023). Reviewer: Miguel Paternain (Montevideo) MSC: 53C22 58E05 37J39 37J46 PDFBibTeX XMLCite \textit{W. Gong}, Differ. Geom. Appl. 87, Article ID 101977, 34 p. (2023; Zbl 1516.53035) Full Text: DOI arXiv
Frauenfelder, Urs Nullity bounds for certain Hamiltonian delay equations. (English) Zbl 1514.37085 Kyoto J. Math. 63, No. 1, 195-209 (2023). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J51 37J46 37J06 34K17 PDFBibTeX XMLCite \textit{U. Frauenfelder}, Kyoto J. Math. 63, No. 1, 195--209 (2023; Zbl 1514.37085) Full Text: DOI arXiv Link
Boscaggin, Alberto; Dambrosio, Walter; Muñoz-Hernández, Eduardo A Maupertuis-type principle in relativistic mechanics and applications. (English) Zbl 1514.37084 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 95, 29 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37N05 49S05 70H40 70G75 PDFBibTeX XMLCite \textit{A. Boscaggin} et al., Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 95, 29 p. (2023; Zbl 1514.37084) Full Text: DOI arXiv
Watanabe, Masahito; Yoshimura, Hiroaki Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh-Bénard convection. (English) Zbl 1522.37068 Nonlinearity 36, No. 2, 955-999 (2023). Reviewer: Diogo Pinheiro (New York) MSC: 37J20 37J25 37J40 37J46 37M20 70H12 70H14 PDFBibTeX XMLCite \textit{M. Watanabe} and \textit{H. Yoshimura}, Nonlinearity 36, No. 2, 955--999 (2023; Zbl 1522.37068) Full Text: DOI arXiv
Ginoux, Jean-Marc; Llibre, Jaume A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator. (English) Zbl 1512.37073 J. Geom. Phys. 183, Article ID 104705, 7 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37C27 34C15 34C29 70K65 PDFBibTeX XMLCite \textit{J.-M. Ginoux} and \textit{J. Llibre}, J. Geom. Phys. 183, Article ID 104705, 7 p. (2023; Zbl 1512.37073) Full Text: DOI
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
Luo, Ying; Guo, Fei Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects. (English) Zbl 1508.37077 J. Math. Anal. Appl. 519, No. 1, Article ID 126800, 15 p. (2023). MSC: 37J46 34A37 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{F. Guo}, J. Math. Anal. Appl. 519, No. 1, Article ID 126800, 15 p. (2023; Zbl 1508.37077) Full Text: DOI
Chen, Xueting; Krawcewicz, Wieslaw; Xiao, Huafeng Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems. (English) Zbl 1507.37086 J. Math. Anal. Appl. 518, No. 2, Article ID 126715, 18 p. (2023). MSC: 37J46 37J39 70H12 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Math. Anal. Appl. 518, No. 2, Article ID 126715, 18 p. (2023; Zbl 1507.37086) Full Text: DOI
Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem. arXiv:2312.13819 Preprint, arXiv:2312.13819 [math.DS] (2023). MSC: 37J46 37N05 BibTeX Cite \textit{I. Baldomá} et al., ``Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem'', Preprint, arXiv:2312.13819 [math.DS] (2023) Full Text: arXiv OA License
Baldomá, Inmaculada; Capiński, Maciej J.; Giralt, Mar; Guardia, Marcel Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant. arXiv:2312.13138 Preprint, arXiv:2312.13138 [math.DS] (2023). MSC: 37J46 37N05 BibTeX Cite \textit{I. Baldomá} et al., ``Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant'', Preprint, arXiv:2312.13138 [math.DS] (2023) Full Text: arXiv OA License
Cineli, Erman A generalized pseudo-rotation with positive topological entropy. arXiv:2310.14761 Preprint, arXiv:2310.14761 [math.SG] (2023). MSC: 53D40 37J11 37J46 BibTeX Cite \textit{E. Cineli}, ``A generalized pseudo-rotation with positive topological entropy'', Preprint, arXiv:2310.14761 [math.SG] (2023) Full Text: arXiv OA License
Cineli, Erman; Ginzburg, Viktor L.; Gurel, Basak Z. On the generic behavior of the spectral norm. arXiv:2310.00470 Preprint, arXiv:2310.00470 [math.SG] (2023). MSC: 53D40 37J11 37J46 BibTeX Cite \textit{E. Cineli} et al., ``On the generic behavior of the spectral norm'', Preprint, arXiv:2310.00470 [math.SG] (2023) Full Text: arXiv OA License
Cineli, Erman; Ginzburg, Viktor L.; Gurel, Basak Z.; Mazzucchelli, Marco Invariant Sets and Hyperbolic Closed Reeb Orbits. arXiv:2309.04576 Preprint, arXiv:2309.04576 [math.SG] (2023). MSC: 53D40 37J11 37J46 BibTeX Cite \textit{E. Cineli} et al., ``Invariant Sets and Hyperbolic Closed Reeb Orbits'', Preprint, arXiv:2309.04576 [math.SG] (2023) Full Text: arXiv OA License
Gasiorek, Sean; Radnović, Milena Periodic Trajectories and Topology of the Integrable Boltzmann System. arXiv:2307.04991 Preprint, arXiv:2307.04991 [math.DS] (2023). MSC: 37J35 37J39 37J46 37C79 37C83 70G40 BibTeX Cite \textit{S. Gasiorek} and \textit{M. Radnović}, ``Periodic Trajectories and Topology of the Integrable Boltzmann System'', Preprint, arXiv:2307.04991 [math.DS] (2023) Full Text: arXiv OA License
Joly, Romain; Risler, Emmanuel Generic transversality of travelling fronts, standing fronts, and standing pulses for parabolic gradient systems. arXiv:2301.02095 Preprint, arXiv:2301.02095 [math.AP] (2023). MSC: 37C20 35K57 37C29 37J46 BibTeX Cite \textit{R. Joly} and \textit{E. Risler}, ``Generic transversality of travelling fronts, standing fronts, and standing pulses for parabolic gradient systems'', Preprint, arXiv:2301.02095 [math.AP] (2023) Full Text: arXiv OA License
Dragović, Vladimir; Gasiorek, Sean; Radnović, Milena Integrable billiards on a Minkowski hyperboloid: extremal polynomials and topology. (English. Russian original) Zbl 07733597 Sb. Math. 213, No. 9, 1187-1221 (2022); translation from Mat. Sb. 213, No. 9, 34-69 (2022). MSC: 37C83 37J70 37J38 37J46 33C45 41A50 14H70 PDFBibTeX XMLCite \textit{V. Dragović} et al., Sb. Math. 213, No. 9, 1187--1221 (2022; Zbl 07733597); translation from Mat. Sb. 213, No. 9, 34--69 (2022) Full Text: DOI arXiv MNR
Asselle, Luca; Benedetti, Gabriele Non-resonant circles for strong magnetic fields on surfaces. (Cercles non résonants pour les champs magnétiques forts sur les surfaces.) (English. French summary) Zbl 1516.37064 Ann. Henri Lebesgue 5, 1191-1211 (2022). MSC: 37J39 37J40 37J46 37E35 37C27 37C55 58E10 53C22 PDFBibTeX XMLCite \textit{L. Asselle} and \textit{G. Benedetti}, Ann. Henri Lebesgue 5, 1191--1211 (2022; Zbl 1516.37064) Full Text: DOI arXiv
Skiba, Robert; Waterstraat, Nils The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems. (English) Zbl 1519.37067 Z. Anal. Anwend. 41, No. 3-4, 487-501 (2022). MSC: 37J46 37J51 37J39 37J20 58E07 47A13 47A53 PDFBibTeX XMLCite \textit{R. Skiba} and \textit{N. Waterstraat}, Z. Anal. Anwend. 41, No. 3--4, 487--501 (2022; Zbl 1519.37067) Full Text: DOI arXiv
Zhang, Xiaofei; Wang, Fanjing Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems. (English) Zbl 1517.37064 Electron. Res. Arch. 30, No. 11, 4220-4231 (2022). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37J51 53D99 70H05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{F. Wang}, Electron. Res. Arch. 30, No. 11, 4220--4231 (2022; Zbl 1517.37064) Full Text: DOI
Portaluri, Alessandro; Wu, Li; Yang, Ran Linear instability of periodic orbits of free period Lagrangian systems. (English) Zbl 1516.37074 Electron. Res. Arch. 30, No. 8, 2833-2859 (2022). MSC: 37J51 37J25 37J46 70H12 70H14 PDFBibTeX XMLCite \textit{A. Portaluri} et al., Electron. Res. Arch. 30, No. 8, 2833--2859 (2022; Zbl 1516.37074) Full Text: DOI arXiv
Yu, Guowei Heteroclinic orbits between static classes of time periodic tonelli Lagrangian systems. (English) Zbl 1515.37062 Electron. Res. Arch. 30, No. 6, 2283-2302 (2022). MSC: 37J46 37J51 PDFBibTeX XMLCite \textit{G. Yu}, Electron. Res. Arch. 30, No. 6, 2283--2302 (2022; Zbl 1515.37062) Full Text: DOI
Lv, Haiyan; Chen, Guanwei Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms. (English) Zbl 1524.37056 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 61, 9 p. (2022). MSC: 37J46 70K44 37C29 PDFBibTeX XMLCite \textit{H. Lv} and \textit{G. Chen}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 61, 9 p. (2022; Zbl 1524.37056) Full Text: DOI
Ascencio, Mauricio; Vidal, Claudio Periodic solutions and KAM tori for the spatial Maxwell restricted \(N+1\)-body problem with Manev potential. (English) Zbl 1502.70025 J. Nonlinear Math. Phys. 29, No. 4, 919-939 (2022). MSC: 70F10 70F15 70H12 37J40 37J46 PDFBibTeX XMLCite \textit{M. Ascencio} and \textit{C. Vidal}, J. Nonlinear Math. Phys. 29, No. 4, 919--939 (2022; Zbl 1502.70025) Full Text: DOI
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
Clarke, Andrew Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space. (English) Zbl 1508.37044 Discrete Contin. Dyn. Syst. 42, No. 12, 5839-5868 (2022). MSC: 37D40 37J46 37C29 53A07 PDFBibTeX XMLCite \textit{A. Clarke}, Discrete Contin. Dyn. Syst. 42, No. 12, 5839--5868 (2022; Zbl 1508.37044) Full Text: DOI arXiv
Belova, A. S. Stability of equilibrium points for a Hamiltonian systems with two degrees of freedom in the problem of parametric resonance. (English) Zbl 1511.37063 Lobachevskii J. Math. 43, No. 6, 1486-1491 (2022). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 37J25 37J46 37J12 70H14 70K28 70K30 PDFBibTeX XMLCite \textit{A. S. Belova}, Lobachevskii J. Math. 43, No. 6, 1486--1491 (2022; Zbl 1511.37063) Full Text: DOI
Nagao, Keiichi; Nielsen, Holger Bech Reality from maximizing overlap in the periodic complex action theory. (English) Zbl 1507.37088 PTEP, Prog. Theor. Exper. Phys. 2022, No. 9, Article ID 091B01, 11 p. (2022). MSC: 37J51 37J46 34L05 81Q30 PDFBibTeX XMLCite \textit{K. Nagao} and \textit{H. B. Nielsen}, PTEP, Prog. Theor. Exper. Phys. 2022, No. 9, Article ID 091B01, 11 p. (2022; Zbl 1507.37088) Full Text: DOI arXiv
Yang, Jihua; Zhao, Liqin Bifurcation of limit cycles of a piecewise smooth Hamiltonian system. (English) Zbl 1506.37076 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 142, 14 p. (2022). MSC: 37J20 37J46 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhao}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 142, 14 p. (2022; Zbl 1506.37076) Full Text: DOI
Ye, Yiwei; Liu, Shan Notes on multiple periodic solutions for second order Hamiltonian systems. (English) Zbl 1506.37082 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 141, 18 p. (2022). MSC: 37J46 37J51 58E05 PDFBibTeX XMLCite \textit{Y. Ye} and \textit{S. Liu}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 141, 18 p. (2022; Zbl 1506.37082) Full Text: DOI
Ke, Xiao-Feng; Liao, Jia-Feng On the existence of periodic solutions to second order Hamiltonian systems. (English) Zbl 1524.37053 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 36, 12 p. (2022). MSC: 37J46 70H12 PDFBibTeX XMLCite \textit{X.-F. Ke} and \textit{J.-F. Liao}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 36, 12 p. (2022; Zbl 1524.37053) Full Text: DOI
Li, Zhengkang; Liu, Xingbo Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. (English) Zbl 1507.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A36 34C07 37J46 34A30 34D20 34C23 PDFBibTeX XMLCite \textit{Z. Li} and \textit{X. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022; Zbl 1507.34034) Full Text: DOI
de Paulo, Naiara V.; Salomão, Pedro A. S. Reeb flows, pseudo-holomorphic curves and transverse foliations. (English) Zbl 1515.37055 São Paulo J. Math. Sci. 16, No. 1, 314-339 (2022). Reviewer: Liviu Popescu (Craiova) MSC: 37J39 37J46 37E30 37J11 53D05 32Q65 70F15 PDFBibTeX XMLCite \textit{N. V. de Paulo} and \textit{P. A. S. Salomão}, São Paulo J. Math. Sci. 16, No. 1, 314--339 (2022; Zbl 1515.37055) Full Text: DOI
Liu, Yan; Guo, Fei Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions. (English) Zbl 1505.37069 Commun. Pure Appl. Anal. 21, No. 10, 3247-3261 (2022). MSC: 37J40 37J46 70H09 70H12 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{F. Guo}, Commun. Pure Appl. Anal. 21, No. 10, 3247--3261 (2022; Zbl 1505.37069) Full Text: DOI
Ureña, Antonio J. Instability of closed orbits obtained by minimization. (English) Zbl 1510.37091 Nonlinearity 35, No. 10, 5193-5225 (2022). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J25 37J46 37J51 37C75 70H12 70H14 PDFBibTeX XMLCite \textit{A. J. Ureña}, Nonlinearity 35, No. 10, 5193--5225 (2022; Zbl 1510.37091) Full Text: DOI
Li, Xiaorui; Zhang, Duanzhi Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems. (English) Zbl 1507.37072 Discrete Contin. Dyn. Syst. 42, No. 11, 5591-5611 (2022). MSC: 37J12 37J46 53D12 PDFBibTeX XMLCite \textit{X. Li} and \textit{D. Zhang}, Discrete Contin. Dyn. Syst. 42, No. 11, 5591--5611 (2022; Zbl 1507.37072) Full Text: DOI
Treschev, D. V. Hamiltonian systems with a functional parameter in the form of a potential. (English) Zbl 1504.37077 Russ. J. Math. Phys. 29, No. 3, 402-412 (2022). MSC: 37J46 70H05 70H12 PDFBibTeX XMLCite \textit{D. V. Treschev}, Russ. J. Math. Phys. 29, No. 3, 402--412 (2022; Zbl 1504.37077) Full Text: DOI
Shelukhin, Egor On the Hofer-Zehnder conjecture. (English) Zbl 1503.53157 Ann. Math. (2) 195, No. 3, 775-839 (2022). Reviewer: Alexander Felshtyn (Szczecin) MSC: 53D40 37J11 37J46 37J39 PDFBibTeX XMLCite \textit{E. Shelukhin}, Ann. Math. (2) 195, No. 3, 775--839 (2022; Zbl 1503.53157) Full Text: DOI arXiv
Miranda, Eva; Oms, Cédric; Peralta-Salas, Daniel On the singular Weinstein conjecture and the existence of escape orbits for \(b\)-Beltrami fields. (English) Zbl 1506.37079 Commun. Contemp. Math. 24, No. 7, Article ID 2150076, 25 p. (2022). MSC: 37J39 53D10 37J46 70F07 70H12 PDFBibTeX XMLCite \textit{E. Miranda} et al., Commun. Contemp. Math. 24, No. 7, Article ID 2150076, 25 p. (2022; Zbl 1506.37079) Full Text: DOI arXiv
Qiu, Wenhua; Meng, Fanhui; Li, Ting Reducibility for a class of two dimensional almost periodic system with quintic real polynomial. (English) Zbl 1525.37069 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 110, 25 p. (2022). MSC: 37J40 37J46 37C55 34C20 34C27 34D10 PDFBibTeX XMLCite \textit{W. Qiu} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 110, 25 p. (2022; Zbl 1525.37069) Full Text: DOI
Liu, Qihuai; Torres, Pedro J. Orbital dynamics on invariant sets of contact Hamiltonian systems. (English) Zbl 1510.37100 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5821-5844 (2022). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J55 37J46 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{P. J. Torres}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5821--5844 (2022; Zbl 1510.37100) Full Text: DOI
Gong, Wenmin Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds. (English) Zbl 1494.58006 J. Geom. Anal. 32, No. 10, Paper No. 256, 29 p. (2022). MSC: 58E30 37J46 53D40 58E10 PDFBibTeX XMLCite \textit{W. Gong}, J. Geom. Anal. 32, No. 10, Paper No. 256, 29 p. (2022; Zbl 1494.58006) Full Text: DOI arXiv
Ou, Hua-Xin; Li, Chun Five periodic solutions for a class of subquadratic second-order even Hamiltonian systems. (English) Zbl 1502.37064 Appl. Math. Lett. 133, Article ID 108219, 5 p. (2022). MSC: 37J46 37J51 PDFBibTeX XMLCite \textit{H.-X. Ou} and \textit{C. Li}, Appl. Math. Lett. 133, Article ID 108219, 5 p. (2022; Zbl 1502.37064) Full Text: DOI
Khelifi, Fathi; Moumen, Abdelkader; Rezaiguia, Ali Homoclinic solutions for the nonperiodic fractional Hamiltonian systems. (English) Zbl 1524.37054 J. Fract. Calc. Appl. 13, No. 2, 77-88 (2022). MSC: 37J46 26A33 34A08 PDFBibTeX XMLCite \textit{F. Khelifi} et al., J. Fract. Calc. Appl. 13, No. 2, 77--88 (2022; Zbl 1524.37054) Full Text: Link
Zhou, Min Minimal measures on the level sets below Mañé critical value. (English) Zbl 1501.37066 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 167, 15 p. (2022). MSC: 37J51 37J46 PDFBibTeX XMLCite \textit{M. Zhou}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 167, 15 p. (2022; Zbl 1501.37066) Full Text: DOI
Cheng, Chong-Qing; Zhou, Min \(C^1\)-continuation of periodic orbits from homoclinics. (English) Zbl 1501.37062 Pac. J. Math. 317, No. 1, 67-118 (2022). MSC: 37J40 37J46 37C29 PDFBibTeX XMLCite \textit{C.-Q. Cheng} and \textit{M. Zhou}, Pac. J. Math. 317, No. 1, 67--118 (2022; Zbl 1501.37062) Full Text: DOI
Lu, Liping; Huang, Wentao Upper bound on the number of zeros of abelian integrals for hyperbolic Hamiltonian systems of degree seven. (English) Zbl 1506.37078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022). Reviewer: Maite Grau (Lleida) MSC: 37J38 37J20 37J46 34C08 34C07 PDFBibTeX XMLCite \textit{L. Lu} and \textit{W. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022; Zbl 1506.37078) Full Text: DOI
Fontaine, Marine; García-Azpeitia, Carlos Braids of the \(N\)-body problem. II: Carousel solutions by cabling central configurations. (English) Zbl 1513.70043 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 134, 35 p. (2022). MSC: 70F10 37J46 70H09 58D19 PDFBibTeX XMLCite \textit{M. Fontaine} and \textit{C. García-Azpeitia}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 134, 35 p. (2022; Zbl 1513.70043) Full Text: DOI arXiv
Jawarneh, Ibrahim; Altawallbeh, Zuhier A heteroclinic bifurcation in a motion of pendulum: numerical-topological approach. (English) Zbl 1499.37124 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 105, 14 p. (2022). MSC: 37M20 37J46 37C79 37B30 PDFBibTeX XMLCite \textit{I. Jawarneh} and \textit{Z. Altawallbeh}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 105, 14 p. (2022; Zbl 1499.37124) Full Text: DOI
Bruno, Alexander Dmitrievich Families of periodic solutions and invariant tori of Hamiltonian systems. (English) Zbl 1497.37073 Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 1-22 (2022). MSC: 37J40 37J46 70H08 PDFBibTeX XMLCite \textit{A. D. Bruno}, in: Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific. 1--22 (2022; Zbl 1497.37073) Full Text: DOI
Zhou, Ben-Xing; Liu, Chungen; Zhou, Zhan; Zhang, Xiaofei Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations. (English) Zbl 1506.37083 J. Differ. Equations 329, 1-30 (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 37J46 37B30 34K13 PDFBibTeX XMLCite \textit{B.-X. Zhou} et al., J. Differ. Equations 329, 1--30 (2022; Zbl 1506.37083) Full Text: DOI
Alvarez-Ramírez, M.; Cornelio, J. Lino; Medina, M. Periodic orbits for a fifth-order generalized Hénon-Heiles Hamiltonian system. (English) Zbl 1505.37070 Lobachevskii J. Math. 43, No. 1, 1-9 (2022). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37J30 70H12 PDFBibTeX XMLCite \textit{M. Alvarez-Ramírez} et al., Lobachevskii J. Math. 43, No. 1, 1--9 (2022; Zbl 1505.37070) Full Text: DOI