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
de la Llave, Rafael; Saprykina, Maria Noncommutative coboundary equations over integrable systems. (English) Zbl 07770355 J. Mod. Dyn. 19, 773-794 (2023). MSC: 37J35 37J37 37J12 37J40 37A20 70H08 PDFBibTeX XMLCite \textit{R. de la Llave} and \textit{M. Saprykina}, J. Mod. Dyn. 19, 773--794 (2023; Zbl 07770355) Full Text: DOI arXiv
Biasco, Luca; Chierchia, Luigi Complex Arnol’d-Liouville maps. (English) Zbl 1528.37051 Regul. Chaotic Dyn. 28, No. 4-5, 395-424 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J38 37J12 37J35 30B40 70H08 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Regul. Chaotic Dyn. 28, No. 4--5, 395--424 (2023; Zbl 1528.37051) Full Text: DOI arXiv
Šepitka, Peter; Hilscher, Roman Šimon Generalized focal points and local Sturmian theory for linear Hamiltonian systems. (English) Zbl 07762478 Discrete Contin. Dyn. Syst. 43, No. 12, 4139-4173 (2023). MSC: 37J51 37J12 34C10 34B24 PDFBibTeX XMLCite \textit{P. Šepitka} and \textit{R. Š. Hilscher}, Discrete Contin. Dyn. Syst. 43, No. 12, 4139--4173 (2023; Zbl 07762478) Full Text: DOI
Arlove, Pierre-Alexandre Geodesics of norms on the contactomorphisms group of \(\mathbb{R}^{2n}\times S^1\). (English) Zbl 07760697 J. Fixed Point Theory Appl. 25, No. 4, Paper No. 80, 32 p. (2023). MSC: 37J39 37J11 37J12 53D05 53D10 53C22 PDFBibTeX XMLCite \textit{P.-A. Arlove}, J. Fixed Point Theory Appl. 25, No. 4, Paper No. 80, 32 p. (2023; Zbl 07760697) Full Text: DOI arXiv OA License
Arnaud, Marie-Claude; Massetti, Jessica Elisa; Sorrentino, Alfonso On the fragility of periodic tori for families of symplectic twist maps. (English) Zbl 1523.37066 Adv. Math. 429, Article ID 109175, 39 p. (2023). MSC: 37J40 37J70 37J12 37J11 37E40 PDFBibTeX XMLCite \textit{M.-C. Arnaud} et al., Adv. Math. 429, Article ID 109175, 39 p. (2023; Zbl 1523.37066) Full Text: DOI arXiv
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
Yokoyama, Tomoo Dependency of the positive and negative long-time behaviors of flows on surfaces. (English) Zbl 1528.37037 J. Differ. Equations 368, 376-393 (2023). Reviewer: Héctor Barge (Madrid) MSC: 37E35 37C15 37C75 37J39 37J12 PDFBibTeX XMLCite \textit{T. Yokoyama}, J. Differ. Equations 368, 376--393 (2023; Zbl 1528.37037) Full Text: DOI arXiv
Jin, Rongrong; Lu, Guangcun Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications. (English) Zbl 1520.53072 J. Geom. Anal. 33, No. 7, Paper No. 234, 75 p. (2023). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D35 53C23 57R17 37J12 37J39 PDFBibTeX XMLCite \textit{R. Jin} and \textit{G. Lu}, J. Geom. Anal. 33, No. 7, Paper No. 234, 75 p. (2023; Zbl 1520.53072) Full Text: DOI arXiv
Asselle, Luca; Izydorek, Marek; Starostka, Maciej The Arnold conjecture in \(\mathbb{CP}^n\) and the Conley index. (English) Zbl 1521.37055 Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2603-2620 (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J12 37J11 37B30 58E05 PDFBibTeX XMLCite \textit{L. Asselle} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2603--2620 (2023; Zbl 1521.37055) Full Text: DOI arXiv
Jang, Donghoon; Tolman, Susan Non-Hamiltonian actions with fewer isolated fixed points. (English) Zbl 1517.37059 Int. Math. Res. Not. 2023, No. 7, 6045-6077 (2023). Reviewer: Jianbo Wang (Tianjin) MSC: 37J12 37J39 37E10 14J28 53D05 53D20 58C30 58D19 58J20 57M60 PDFBibTeX XMLCite \textit{D. Jang} and \textit{S. Tolman}, Int. Math. Res. Not. 2023, No. 7, 6045--6077 (2023; Zbl 1517.37059) Full Text: DOI arXiv
Ni, Song; Xu, Junxiang Response solutions of degenerate quasi-periodic systems under small perturbations. (English) Zbl 1514.37082 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 69, 24 p. (2023). MSC: 37J40 37J12 70H08 70K43 PDFBibTeX XMLCite \textit{S. Ni} and \textit{J. Xu}, Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 69, 24 p. (2023; Zbl 1514.37082) Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems. (English) Zbl 1511.37061 Monatsh. Math. 200, No. 2, 359-387 (2023). MSC: 37J12 37N35 34C10 34B24 70H05 PDFBibTeX XMLCite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, Monatsh. Math. 200, No. 2, 359--387 (2023; Zbl 1511.37061) Full Text: DOI
Allais, Simon On the Hofer-Zehnder conjecture on weighted projective spaces. (English) Zbl 07648700 Compos. Math. 159, No. 1, 87-108 (2023). Reviewer: Nima Moshayedi (Zürich) MSC: 53D05 58E05 53D20 37J12 37J39 PDFBibTeX XMLCite \textit{S. Allais}, Compos. Math. 159, No. 1, 87--108 (2023; Zbl 07648700) Full Text: DOI arXiv
Boscaggin, Alberto; Muñoz-Hernández, Eduardo Planar Hamiltonian systems: index theory and applications to the existence of subharmonics. (English) Zbl 1507.37071 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113142, 35 p. (2023). MSC: 37J12 37J51 37E45 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{E. Muñoz-Hernández}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113142, 35 p. (2023; Zbl 1507.37071) Full Text: DOI arXiv
Fayad, Bassam Lyapunov unstable elliptic equilibria. (English) Zbl 1507.37083 J. Am. Math. Soc. 36, No. 1, 81-106 (2023). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J40 37J11 37J12 37J25 37J30 PDFBibTeX XMLCite \textit{B. Fayad}, J. Am. Math. Soc. 36, No. 1, 81--106 (2023; Zbl 1507.37083) Full Text: DOI arXiv
Chen, Ting; Li, Shimin; Llibre, Jaume Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems. (English) Zbl 1519.34032 Nonlinear Dyn. 110, No. 1, 705-721 (2022). MSC: 34C25 34A36 37J12 70H12 PDFBibTeX XMLCite \textit{T. Chen} et al., Nonlinear Dyn. 110, No. 1, 705--721 (2022; Zbl 1519.34032) Full Text: DOI
Allais, Simon On the Hofer-Zehnder conjecture on \(\mathbb{C}\mathrm{P}^d\) via generating functions. (English) Zbl 1509.70021 Int. J. Math. 33, No. 10-11, Article ID 2250072, 58 p. (2022). Reviewer: Stefan Suhr (Bochum) MSC: 70H12 37J12 PDFBibTeX XMLCite \textit{S. Allais}, Int. J. Math. 33, No. 10--11, Article ID 2250072, 58 p. (2022; Zbl 1509.70021) 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
Allais, Simon On periodic points of Hamiltonian diffeomorphisms of \(\mathbb{C}\mathrm{P}^d\) via generating functions. (English) Zbl 1508.53079 J. Symplectic Geom. 20, No. 1, 1-48 (2022). MSC: 53D05 53D35 57S05 37J12 PDFBibTeX XMLCite \textit{S. Allais}, J. Symplectic Geom. 20, No. 1, 1--48 (2022; Zbl 1508.53079) Full Text: DOI arXiv
MolaeiDerakhtenjani, M.; RabieiMotlagh, O.; MohammadiNejad, H. M. A constructive approach to degenerate center problem. (English) Zbl 1497.37062 Int. J. Dyn. Syst. Differ. Equ. 12, No. 3, 247-266 (2022). MSC: 37J25 37J12 34C05 PDFBibTeX XMLCite \textit{M. MolaeiDerakhtenjani} et al., Int. J. Dyn. Syst. Differ. Equ. 12, No. 3, 247--266 (2022; Zbl 1497.37062) Full Text: Link
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
Çineli, Erman; Ginzburg, Viktor L.; Gürel, Başak Z. Another look at the Hofer-Zehnder conjecture. (English) Zbl 1503.53156 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 53, 24 p. (2022). Reviewer: Alexander Felshtyn (Szczecin) MSC: 53D40 37J12 37J39 PDFBibTeX XMLCite \textit{E. Çineli} et al., J. Fixed Point Theory Appl. 24, No. 2, Paper No. 53, 24 p. (2022; Zbl 1503.53156) Full Text: DOI arXiv
Xia, Zhihong; Yu, Peizheng A fixed point theorem for twist maps. (English) Zbl 1502.37053 Discrete Contin. Dyn. Syst. 42, No. 8, 4051-4059 (2022). MSC: 37E40 37C25 37E30 37J12 PDFBibTeX XMLCite \textit{Z. Xia} and \textit{P. Yu}, Discrete Contin. Dyn. Syst. 42, No. 8, 4051--4059 (2022; Zbl 1502.37053) Full Text: DOI arXiv
Krikorian, Raphaël On the divergence of Birkhoff normal forms. (English) Zbl 1501.37065 Publ. Math., Inst. Hautes Étud. Sci. 135, 1-181 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J11 37J12 PDFBibTeX XMLCite \textit{R. Krikorian}, Publ. Math., Inst. Hautes Étud. Sci. 135, 1--181 (2022; Zbl 1501.37065) Full Text: DOI arXiv
Drobnjak, Dušan; Uljarević, Igor Exotic symplectomorphisms and contact circle actions. (English) Zbl 1491.53088 Commun. Contemp. Math. 24, No. 3, Article ID 2150045, 27 p. (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 53D22 53D40 37J11 37J12 PDFBibTeX XMLCite \textit{D. Drobnjak} and \textit{I. Uljarević}, Commun. Contemp. Math. 24, No. 3, Article ID 2150045, 27 p. (2022; Zbl 1491.53088) Full Text: DOI arXiv
García-Garrido, Víctor J.; García-Luengo, Julia Painting the phase space of dissipative systems with Lagrangian descriptors. (English) Zbl 1483.37100 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106034, 20 p. (2022). MSC: 37M15 37M21 37M20 37J12 PDFBibTeX XMLCite \textit{V. J. García-Garrido} and \textit{J. García-Luengo}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106034, 20 p. (2022; Zbl 1483.37100) Full Text: DOI arXiv
Ning, Yan; Lu, Daowei; Mao, Anmin Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems. (English) Zbl 1525.34066 AIMS Math. 6, No. 10, 10947-10963 (2021). MSC: 34C25 58E05 37J12 37J46 PDFBibTeX XMLCite \textit{Y. Ning} et al., AIMS Math. 6, No. 10, 10947--10963 (2021; Zbl 1525.34066) Full Text: DOI
Weiler, Morgan Mean action of periodic orbits of area-preserving annulus diffeomorphisms. (English) Zbl 1490.53098 J. Topol. Anal. 13, No. 4, 1013-1074 (2021). MSC: 53D35 37J12 PDFBibTeX XMLCite \textit{M. Weiler}, J. Topol. Anal. 13, No. 4, 1013--1074 (2021; Zbl 1490.53098) Full Text: DOI arXiv
Tzemos, A. C.; Contopoulos, G. Order and chaos in time periodic Hamiltonian systems. (English) Zbl 1491.37058 Physica D 419, Article ID 132847, 12 p. (2021). MSC: 37J46 37J12 34C28 65P10 PDFBibTeX XMLCite \textit{A. C. Tzemos} and \textit{G. Contopoulos}, Physica D 419, Article ID 132847, 12 p. (2021; Zbl 1491.37058) Full Text: DOI
da Costa, Bruno G.; da Silva, Genilson A. C.; Gomez, Ignacio S. Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass. (English) Zbl 1500.81039 J. Math. Phys. 62, No. 9, Article ID 092101, 20 p. (2021). MSC: 81Q60 35Q41 14D15 81R30 35P10 81S07 37J12 PDFBibTeX XMLCite \textit{B. G. da Costa} et al., J. Math. Phys. 62, No. 9, Article ID 092101, 20 p. (2021; Zbl 1500.81039) Full Text: DOI arXiv
Sugimoto, Yoshihiro On the generic Conley conjecture. (English) Zbl 1485.37059 Arch. Math. 117, No. 4, 423-432 (2021). Reviewer: Xiaojun Chen (Chengdu) MSC: 37J46 37J12 37J39 53D05 53D40 PDFBibTeX XMLCite \textit{Y. Sugimoto}, Arch. Math. 117, No. 4, 423--432 (2021; Zbl 1485.37059) Full Text: DOI arXiv
Bates, Larry; Cushman, Richard Two action-angle surprises on the sphere. (English) Zbl 1461.37056 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 11, 10 p. (2021). Reviewer: Andrew Bucki (Edmond) MSC: 37J12 37J35 37J46 37E35 70H12 53D05 53D50 81S10 PDFBibTeX XMLCite \textit{L. Bates} and \textit{R. Cushman}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 11, 10 p. (2021; Zbl 1461.37056) Full Text: DOI
Kozlov, Ivan Konstantinovich; Oshemkov, Andreĭ Aleksandrovich Classification of saddle-focus singularities. (Russian. English summary) Zbl 1462.37071 Chebyshevskiĭ Sb. 21, No. 2(74), 228-243 (2020). MSC: 37J39 37J12 37J35 37J25 PDFBibTeX XMLCite \textit{I. K. Kozlov} and \textit{A. A. Oshemkov}, Chebyshevskiĭ Sb. 21, No. 2(74), 228--243 (2020; Zbl 1462.37071) Full Text: MNR
Dullin, Holger R.; Scheurle, Jürgen Symmetry reduction of the 3-body problem in \(\mathbb{R}^4\). (English) Zbl 1477.37093 J. Geom. Mech. 12, No. 3, 377-394 (2020). Reviewer: Jörg Härterich (Bochum) MSC: 37N05 37J12 37J25 70F07 70F15 70H15 70H33 53D20 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{J. Scheurle}, J. Geom. Mech. 12, No. 3, 377--394 (2020; Zbl 1477.37093) Full Text: DOI arXiv
Zubelevich, O. On periodic solutions to Lagrangian system with singularities and constraints. (English) Zbl 1455.37051 Lobachevskii J. Math. 41, No. 3, 459-473 (2020). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J46 37J12 70H03 70H12 70H14 PDFBibTeX XMLCite \textit{O. Zubelevich}, Lobachevskii J. Math. 41, No. 3, 459--473 (2020; Zbl 1455.37051) Full Text: DOI arXiv
Ureña, Antonio J. To what extent are unstable the maxima of the potential? (English) Zbl 1453.37055 Ann. Mat. Pura Appl. (4) 199, No. 5, 1763-1775 (2020). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J25 37J12 37J46 70H14 70K20 70H12 70K42 PDFBibTeX XMLCite \textit{A. J. Ureña}, Ann. Mat. Pura Appl. (4) 199, No. 5, 1763--1775 (2020; Zbl 1453.37055) Full Text: DOI
Li, Jia On the reducibility of a class of nonlinear periodic Hamiltonian systems with degenerate equilibrium. (English) Zbl 1445.37045 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 63, 11 p. (2020). MSC: 37J46 37J11 37J12 PDFBibTeX XMLCite \textit{J. Li}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 63, 11 p. (2020; Zbl 1445.37045) Full Text: DOI
Pérez-Chavela, Ernesto; Santoprete, Manuele; Tamayo, Claudia Bifurcation of relative equilibria for vortices and general homogeneous potentials. (English) Zbl 1437.37076 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 38, 19 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J46 37J25 37J12 PDFBibTeX XMLCite \textit{E. Pérez-Chavela} et al., Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 38, 19 p. (2020; Zbl 1437.37076) Full Text: DOI
Benhassine, Abderrazek Ground state solutions for a class of fractional Hamiltonian systems. (English) Zbl 1435.37078 Ric. Mat. 68, No. 2, 727-743 (2019). MSC: 37J12 34A08 26A33 58E05 PDFBibTeX XMLCite \textit{A. Benhassine}, Ric. Mat. 68, No. 2, 727--743 (2019; Zbl 1435.37078) Full Text: DOI
De Paulo, Naiara V.; Salomão, Pedro A. S. On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in \(\mathbb {R}^4\). (English) Zbl 1446.37056 Trans. Am. Math. Soc. 372, No. 2, 859-887 (2019). Reviewer: Jörg Härterich (Bochum) MSC: 37J20 37J46 37J25 37J12 PDFBibTeX XMLCite \textit{N. V. De Paulo} and \textit{P. A. S. Salomão}, Trans. Am. Math. Soc. 372, No. 2, 859--887 (2019; Zbl 1446.37056) Full Text: DOI arXiv
Ginzburg, Viktor L.; Shon, Jeongmin On the filtered symplectic homology of prequantization bundles. (English) Zbl 1428.53098 Int. J. Math. 29, No. 11, Article ID 1850071, 35 p. (2018). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 53D40 37J12 37J46 37J55 PDFBibTeX XMLCite \textit{V. L. Ginzburg} and \textit{J. Shon}, Int. J. Math. 29, No. 11, Article ID 1850071, 35 p. (2018; Zbl 1428.53098) Full Text: DOI arXiv