Zhao, Xuefeng Completely integrable system with Jacobi multipliers and its KAM stability. (English) Zbl 07978231 Discrete Contin. Dyn. Syst. 45, No. 6, 1870-1890 (2025). MSC: 37J06 37J35 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, Xianghong; Stolovitch, Laurent On neighborhoods of embedded complex tori. (English) Zbl 07974020 Math. Ann. 391, No. 2, 2509-2540 (2025). MSC: 32Q57 32Q28 32L10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qu, Ru; Zhang, DongFeng The existence of invariant tori of reversible systems with Liouvillean frequency and its applications. (English) Zbl 07973253 Physica D 471, Article ID 134447, 11 p. (2025). MSC: 70H08 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaoming; Li, Denghui; Liu, Xianbin Time-dependent billiards, variational method, and invariant tori. (English) Zbl 07972415 Nonlinearity 38, No. 2, Article ID 025003, 24 p., 24 p. (2025). MSC: 37J40 70F99 70H30 × Cite Format Result Cite Review PDF Full Text: DOI
Qu, Ru; Xu, Junxiang Persistence of hyperbolic-type degenerate invariant tori with prescribed frequencies in reversible systems. (English) Zbl 07964136 Nonlinearity 38, No. 1, Article ID 015013, 26 p. (2025). MSC: 37J40 37J25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaomei; Xu, Junxiang Lower-dimensional invariant tori for a class of degenerate reversible systems under small perturbations. (English) Zbl 07959342 Proc. Am. Math. Soc. 153, No. 1, 259-267 (2025). MSC: 37J40 37J25 × Cite Format Result Cite Review PDF Full Text: DOI
Roussel, Robin Shape differentiation for Poincaré maps of harmonic fields in toroidal domains. (English) Zbl 07955040 J. Geom. Anal. 35, No. 1, Paper No. 19, 35 p. (2025). MSC: 35Q60 82D75 78A35 37E10 37E35 37J40 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Qi; Yang, Xiaomei; Xu, Junxiang Response solutions for a class of degenerate oscillators under quasi-periodic perturbations with a small parameter. (English) Zbl 07951785 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 4, 20 p. (2025). MSC: 34C15 34E10 34C27 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Alessi, Elisa Maria; Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel On the Arnold diffusion mechanism in medium Earth orbit. (English) Zbl 07948923 J. Nonlinear Sci. 35, No. 1, Paper No. 8, 54 p. (2025). MSC: 37N05 37J40 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xuemei; Shi, Guanghua Quasi-periodic solutions for the derivative nonlinear Schrödinger equations with unbounded Legendre potentials. (English) Zbl 07946845 Discrete Contin. Dyn. Syst. 45, No. 2, 607-664 (2025). MSC: 35Q55 37K55 37K50 × Cite Format Result Cite Review PDF Full Text: DOI
Ogawa, Satoshi On holomorphic tubular neighborhoods of compact Riemann surfaces. (English) Zbl 07945554 J. Geom. Anal. 35, No. 1, Paper No. 6, 19 p. (2025). MSC: 37F44 37F46 37J40 37P05 30F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sui, Shiyou; Xu, Weijiao Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system. (English) Zbl 07941014 J. Math. Anal. Appl. 542, No. 2, Article ID 128866, 14 p. (2025). Reviewer: Xingwu Chen (Chengdu) MSC: 34C07 34A36 34A30 37J40 34C05 34C23 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Ghora, Subhasis; Nayak, Tarakanta Iteration of some topologically hyperbolic meromorphic maps with infinitely many singular values. (English) Zbl 07980090 Complex Anal. Oper. Theory 19, No. 1, Paper No. 20, 24 p. (2024). MSC: 37F50 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozlov, Valery On the diffusion mechanism in Hamiltonian systems. (English. Russian original) Zbl 07976872 Funct. Anal. Appl. 58, No. 4, 362-370 (2024); translation from Funkts. Anal. Prilozh. 58, No. 4, 20-31 (2024). MSC: 37J40 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Peng Persistence of invariant tori in infinite dimensional reversible systems. (Chinese. English summary) Zbl 07974362 Acta Math. Sin., Chin. Ser. 67, No. 6, 1207-1220 (2024). MSC: 37J40 37K55 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Rahmati, H. Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method. (English. Russian original) Zbl 07967533 Theor. Math. Phys. 221, No. 3, 2144-2154 (2024); translation from Teor. Mat. Fiz. 221, No. 3, 629-641 (2024). MSC: 37J40 37J35 37J37 70H09 70G45 70G65 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Ghora, Subhasis Different types of wandering domains in the family \(\lambda +z+\tan z\). (English) Zbl 07965075 J. Anal. 32, No. 6, 3125-3138 (2024). MSC: 37F50 30D05 30D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Uribe, M.; Vidarte, J.; Carrasco, D. Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method. (English) Zbl 07960265 Dyn. Syst. 39, No. 4, 610-629 (2024). MSC: 37J46 34C25 37J40 70K65 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, Song; Ma, Zhichao; Xu, Junxiang; Zhang, Dongfeng Response solutions of quasi-periodically forced degenerate oscillator equations with small parameters. (English) Zbl 07957699 J. Dyn. Differ. Equations 36, No. 4, 3811-3833 (2024). MSC: 34C15 34C05 34C27 34E10 37J40 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Mi, Yue; Stolovitch, Laurent On linearization of biholomorphism with non-semi-simple linear part at a fixed point. (English) Zbl 07957693 J. Dyn. Differ. Equations 36, No. 4, 3687-3710 (2024). MSC: 47-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
M-Seara, Tere; Silva, Luan V. M. F.; Villanueva, Jordi On the boundedness of solutions of a forced discontinuous oscillator. (English) Zbl 07950702 J. Differ. Equations 412, 529-567 (2024). MSC: 37J40 34A36 70H08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Prescribed energy periodic solutions of Kepler problems with relativistic corrections. (English) Zbl 07949830 Amster, Pablo (ed.) et al., Topological methods for delay and ordinary differential equations. With applications to continuum mechanics. Cham: Birkhäuser. Adv. Mech. Math. 51, 21-41 (2024). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 47J15 37J40 70H08 70H12 83A05 83C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiao, Jianyong; Qu, Hongyu On the area rate of perturbed Siegel disks. (English) Zbl 07948169 Nonlinearity 37, No. 12, Article ID 125022, 19 p. (2024). MSC: 37F50 37F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jie; Shan, Yuan; Wang, Jing Reducibility of three dimensional skew symmetric system with high dimensional weak Liouvillean frequencies. (English) Zbl 07946953 Acta Math. Sin., Engl. Ser. 40, No. 10, 2388-2410 (2024). MSC: 37J40 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedev, Anton G. On the measure of the KAM-tori in a neighbourhood of a separatrix. (English. Russian original) Zbl 07945694 Sb. Math. 215, No. 6, 755-774 (2024); translation from Mat. Sb. 215, No. 6, 41-60 (2024). MSC: 37J40 37J35 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Palshin, Gleb P. Topology of the Liouville foliation in the generalized constrained three-vortex problem. (English. Russian original) Zbl 07945690 Sb. Math. 215, No. 5, 667-702 (2024); translation from Mat. Sb. 215, No. 5, 106-145 (2024). MSC: 37J35 37J39 37J20 37J40 53D05 53D20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bibikov, Yu. N.; Vasil’eva, E. V. Periodic perturbations of oscillators on a plane. (English. Russian original) Zbl 07944432 Vestn. St. Petersbg. Univ., Math. 57, No. 1, 23-29 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 1, 38-47 (2024). MSC: 34-02 34C15 34D10 34D20 37J40 34C27 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Cordani, Bruno Geography of order and chaos in mechanics. Investigations of quasi-integrable systems with analytical, numerical, and graphical tools. 2nd edition. (English) Zbl 07944191 Progress in Mathematical Physics 64. Cham: Birkhäuser (ISBN 978-3-031-72225-7/hbk; 978-3-031-72228-8/pbk; 978-3-031-72226-4/ebook). xxv, 395 p. (2024). MSC: 70-01 37J40 70F15 37J05 70H08 70H33 65P10 37J15 37N05 37M10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Xuanji; Pan, Yi; Zhou, Qi Dynamical classification of analytic one-frequency quasi-periodic \(\mathrm{SO}(3, \mathbb{R})\)-cocycles. (English) Zbl 07939025 Adv. Math. 457, Article ID 109943, 45 p. (2024). MSC: 37C15 37E20 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Shuo Fast-oscillating random perturbations of Hamiltonian systems. (English) Zbl 07938783 Probab. Theory Relat. Fields 190, No. 3-4, 1199-1260 (2024). MSC: 37J40 70K65 70K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, Panrui; Wang, Lin Aubry-Mather theory for contact Hamiltonian systems. III. (English) Zbl 07936930 Sci. China, Math. 67, No. 11, 2541-2570 (2024). MSC: 37J55 37J51 37J40 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez Rothen, Yocelyn; Vidal, Claudio Reduction and reconstruction of the oscillator in 1:1:2 resonance plus an axially symmetric polynomial perturbation. (English) Zbl 07935909 SIAM J. Appl. Dyn. Syst. 23, No. 3, 2489-2532 (2024). MSC: 37J40 37J46 70H12 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chang; Tong, Zhicheng; Li, Yong Moser’s theorem with frequency-preserving. (English) Zbl 07933868 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 5, 1473-1503 (2024). MSC: 37E40 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Hongyu; Wang, Fenfen; Wang, Shimin Invariant tori for area-preserving maps with ultra-differentiable perturbation and Liouvillean frequency. (English) Zbl 07931965 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 282, 35 p. (2024). MSC: 37J40 37E30 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Yi; Gao, Shanshan; Agarwal, Ravi P. Rotational periodic boundary value problem for a fractional nonlinear differential equation. (English) Zbl 07924837 Math. Methods Appl. Sci. 47, No. 13, 11120-11134 (2024). MSC: 34C25 34B16 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Lu; Si, Wen; Wu, Mengmeng The existence of response tori for Hamiltonian with normal degeneracy. (English) Zbl 07924369 J. Appl. Anal. Comput. 14, No. 6, 3227-3259 (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin; Zhao, Liqin Limit cycle bifurcations by perturbing a kind of quadratic Hamiltonian system having a homoclinic loop. (English) Zbl 07922053 Discrete Contin. Dyn. Syst., Ser. B 29, No. 11, 4416-4431 (2024). Reviewer: Pedro Soares (Lisboa) MSC: 34A36 34C37 34C23 34C05 34C07 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Dong; Tan, Nengxing; Qiu, Huanhuan Traveling wave solutions in a modified Leslie-Gower model with diffusion and chemotaxis. (English) Zbl 07920851 Z. Angew. Math. Phys. 75, No. 5, Paper No. 165, 23 p. (2024). MSC: 35C07 35K57 37J40 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Bakri, Taoufik; Verhulst, Ferdinand Emergence and approximation of tori. (English) Zbl 1546.37142 Belhaq, Mohamed (ed.), Advances in nonlinear dynamics and control of mechanical and physical systems. Selected articles from CSNDD, Marrakesh, Morocco, May 15–17, 2023. Singapore: Springer. Springer Proc. Phys. 301, 1-22 (2024). MSC: 37M21 37M20 37J40 37J46 70H08 70H12 70K43 65P30 × Cite Format Result Cite Review PDF Full Text: DOI
Corsi, Livia; Gentile, Guido; Procesi, Michela Maximal tori in infinite-dimensional Hamiltonian systems: a renormalisation group approach. (English) Zbl 07920610 Regul. Chaotic Dyn. 29, No. 4, 677-715 (2024). MSC: 37K55 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scarcella, Donato Biasymptotically quasi-periodic solutions for time-dependent Hamiltonians. (English) Zbl 07920608 Regul. Chaotic Dyn. 29, No. 4, 620-653 (2024). MSC: 37J40 37J25 37J46 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xiaomei; Xu, Junxiang Persistence of multiscale degenerate invariant tori in reversible systems with degenerate frequency mapping. (English) Zbl 07920607 Regul. Chaotic Dyn. 29, No. 4, 605-619 (2024). MSC: 37J40 37J25 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Hanru; Xu, Junxiang On elliptic lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems with small parameters. (English) Zbl 07920606 Regul. Chaotic Dyn. 29, No. 4, 583-604 (2024). MSC: 37J40 37J25 37J06 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Argentieri, Fernando; Chierchia, Luigi Isolated Diophantine numbers. (English) Zbl 07920603 Regul. Chaotic Dyn. 29, No. 4, 536-540 (2024). MSC: 37J40 70E40 11D75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chierchia, Luigi; Fascitiello, Isabella [Sinai, Yakov] Nineteen fifty-four: Kolmogorov’s new “metrical approach” to Hamiltonian dynamics. (English) Zbl 07920602 Regul. Chaotic Dyn. 29, No. 4, 517-535 (2024). MSC: 01A60 37-03 37J40 37J25 70H08 70-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foreword. (English) Zbl 07920601 Regul. Chaotic Dyn. 29, No. 4, 515-516 (2024). MSC: 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Zhaowei; Wu, Jian KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations. (English) Zbl 07920484 J. Dyn. Differ. Equations 36, No. 3, 2429-2476 (2024). MSC: 37K55 35B15 35Q55 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Żołądek, Henryk An example in Hamiltonian dynamics. (English) Zbl 1548.37090 Commun. Anal. Mech. 16, No. 2, 431-447 (2024). MSC: 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Kai; Ratiu, Tudor S.; Tien Zung, Nguyen Simultaneous local normal forms of dynamical systems with singular underlying geometric structures. (English) Zbl 07916677 Nonlinearity 37, No. 10, Article ID 105013, 38 p. (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J06 37J39 37J40 58A10 58A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Fei Rational maps with smooth degenerate Herman rings. (English) Zbl 07916613 Adv. Math. 452, Article ID 109827, 40 p. (2024). Reviewer: Walter Bergweiler (Kiel) MSC: 37F31 37F25 37F10 37F20 37F50 30D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fortunati, Alessandro On the constructivity of the variational approach to Arnold’s diffusion. (English) Zbl 07908468 Physica D 468, Article ID 134297, 17 p. (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bambusi, Dario Bounds on the growth of energy for particles on the torus with unbounded time dependent perturbations. (English) Zbl 1545.37051 J. Math. Phys. 65, No. 8, Article ID 082701, 13 p. (2024). MSC: 37J40 78A35 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Maoan; Liu, Shanshan Hopf bifurcation in a class of piecewise smooth near-Hamiltonian systems. (English) Zbl 07900727 Bull. Sci. Math. 195, Article ID 103471, 30 p. (2024). Reviewer: Guglielmo Feltrin (Udine) MSC: 34C23 34C05 37J40 34A36 34C07 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Morin, Léo A semiclassical Birkhoff normal form for constant-rank magnetic fields. (English) Zbl 1546.35131 Anal. PDE 17, No. 5, 1593-1632 (2024). MSC: 35P15 81Q20 35S05 37J40 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giuliani, Filippo; Guardia, Marcel Arnold diffusion in Hamiltonian systems on infinite lattices. (English) Zbl 07896923 Commun. Pure Appl. Math. 77, No. 8, 3333-3426 (2024). MSC: 37J40 37J25 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ke, Ai; Yang, Junmin On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 07896485 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 249, 20 p. (2024). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C07 34C23 34C37 37J40 34C40 37C60 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaomei; Xu, Junxiang Persistence of the non-twist degenerate lower dimensional invariant torus in reversible systems. (English) Zbl 07896481 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 245, 18 p. (2024). MSC: 37J40 37J25 37J51 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
He, Xiaolong; Jin, Feng; Song, Yongli Quasi-periodic response solution to scalar state-dependent delay differential equation with degenerate equilibrium. (English) Zbl 07896480 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 244, 30 p. (2024). Reviewer: Hong-Xu Li (Chengdu) MSC: 34K14 34K43 37C60 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Salhi, Tayeb Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems. (English) Zbl 07896262 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 4, 279-286 (2024). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34A36 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: Link Link
Vidarte, Jhon; Vera-Damián, Yrina; Gonzales, Walter Periodic orbits in a Hamiltonian system of stellar type. (English) Zbl 07893190 Physica D 467, Article ID 134261, 10 p. (2024). MSC: 37J46 37J40 70K65 70K30 70H12 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Wanic, M.; Toklikishvili, Z.; Mishra, S. K.; Trybus, M.; Chotorlishvili, L. Magnetoelectric fractals, magnetoelectric parametric resonance and Hopf bifurcation. (English) Zbl 1547.34072 Physica D 467, Article ID 134257, 14 p. (2024). MSC: 34C60 37C60 78A30 37J40 28A80 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clarke, Andrew Geodesics with unbounded speed on fluctuating surfaces. (English) Zbl 07888869 Regul. Chaotic Dyn. 29, No. 3, 435-450 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D40 37E35 37C27 37J40 53D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alberti, Angelo Existence and linear stability of symmetric periodic orbits in the generalized planar Stark-Zeeman problem. (English) Zbl 07881042 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 227, 29 p. (2024). Reviewer: Johannes Giannoulis (Ioannina) MSC: 37N20 37J40 37J25 37J46 70H09 70H12 70H14 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Bakhshalizadeh, Ali; Asheghi, Rasoul The monotonicity of the ratio of two line integrals in piecewise smooth differential systems. (English) Zbl 07878128 Differ. Equ. Dyn. Syst. 32, No. 3, 785-798 (2024). MSC: 37J40 34C07 34C05 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
DeWitt, Jonathan Simultaneous linearization of diffeomorphisms of isotropic manifolds. (English) Zbl 07875501 J. Eur. Math. Soc. (JEMS) 26, No. 8, 2897-2969 (2024). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 37C15 37C05 37C20 37H12 37J40 53C35 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gajic, Dejan; Kehrberger, Leonhard M. A. Corrigendum to: “On the relation between asymptotic charges, the failure of peeling and late-time tails”. (English) Zbl 1540.83011 Classical Quantum Gravity 41, No. 11, Article ID 119501, 2 p. (2024). MSC: 83C30 83C57 35L05 37F50 85A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, Panrui; Wang, Lin A nonlinear semigroup approach to Hamilton-Jacobi equations-revisited. (English) Zbl 1548.37094 J. Differ. Equations 403, 272-307 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J51 37J40 37J55 35F21 35D40 37L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shanshan; Han, Maoan Bifurcation theory of limit cycles by higher order Melnikov functions and applications. (English) Zbl 07869051 J. Differ. Equations 403, 29-66 (2024). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C07 34C37 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yagasaki, Kazuyuki Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits. (English) Zbl 07868586 Physica D 464, Article ID 134189, 8 p. (2024). Reviewer: Andy R. Magid (Norman) MSC: 37J30 37J35 37J40 37J46 12H05 34C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khachnaoui, Khaled Periodic solution for perturbed Hamiltonian systems. (English) Zbl 1548.37092 Quaest. Math. 47, No. 4, 797-812 (2024). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J46 37J40 70H09 70H12 × Cite Format Result Cite Review PDF Full Text: DOI
Scarcella, Donato Asymptotically quasiperiodic solutions for time-dependent Hamiltonians. (English) Zbl 07867487 Nonlinearity 37, No. 6, Article ID 065005, 33 p. (2024). MSC: 37J46 37J25 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Figueras, Jordi-Lluís; Haro, Alex A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems. (English) Zbl 1547.37073 Physica D 462, Article ID 134127, 21 p. (2024). MSC: 37J40 37J35 70K43 70H08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xiaolong; Shi, Jia; Shi, Yunfeng; Yuan, Xiaoping On linear stability of KAM tori via the Craig-Wayne-Bourgain method. (English) Zbl 1547.37074 SIAM J. Math. Anal. 56, No. 3, 3605-3645 (2024). MSC: 37J40 37J25 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belozerov, G. V.; Fomenko, A. T. Rotation functions of integrable billiards as orbital invariants. (English) Zbl 1546.37100 Dokl. Math. 109, No. 1, 1-5 (2024). MSC: 37J35 37J39 37J40 37C83 × Cite Format Result Cite Review PDF Full Text: DOI
Fallah, Haniyeh; Shilnikov, Andrey L. Quasi-periodicity at transition from spiking to bursting in the Pernarowski model of pancreatic beta cells. (English) Zbl 1546.37165 Regul. Chaotic Dyn. 29, No. 1, 100-119 (2024). MSC: 37N25 37J40 70K43 92C37 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Koch, Hans Attracting invariant tori and analytic conjugacies. (English) Zbl 1548.37039 J. Differ. Equations 398, 395-415 (2024). MSC: 37C55 37C15 37J40 37J35 70K43 34C15 70J35 70K40 × Cite Format Result Cite Review PDF Full Text: DOI
Gonzalez Montoya, Francisco; Katsanikas, Matthaios; Wiggins, Stephen Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom. I. (English) Zbl 1546.37106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 34, No. 5, Article ID 2430011, 11 p. (2024). MSC: 37J46 37J40 37D10 37J20 × Cite Format Result Cite Review PDF Full Text: DOI
Sultanov, Oskar A. Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations. (English) Zbl 1542.34047 Commun. Pure Appl. Anal. 23, No. 4, 432-462 (2024). MSC: 34F10 34D10 34D20 60H10 37J40 34C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frączek, Krzysztof; Kim, Minsung Solving the cohomological equation for locally Hamiltonian flows. I: Local obstructions. (English) Zbl 1547.37071 Adv. Math. 446, Article ID 109668, 61 p. (2024). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J39 37J12 37J40 37E35 37C40 37C83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Motonaga, Shoya Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits. (English) Zbl 1543.37057 Physica D 460, Article ID 134088, 6 p. (2024). MSC: 37J30 37J40 37J46 34E10 37C27 34C25 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Sattin, F.; Salasnich, L. Revisiting the Toda-Brumer-Duff criterion for order-chaos transition in dynamical systems. (English) Zbl 1543.37033 Physica D 460, Article ID 134067, 6 p. (2024). MSC: 37C35 37J40 37J35 70K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Sengen; Zhou, Liangqiang Orbits and chaos of a two-fluid magnetized plasma oscillator subjected to parametric excitation with square delayed feedback. (English) Zbl 1542.34069 ZAMM, Z. Angew. Math. Mech. 104, No. 2, Article ID e202300441, 24 p. (2024). MSC: 34K60 34C60 76X05 34C15 34C37 37C60 37J40 34K18 34K23 × Cite Format Result Cite Review PDF Full Text: DOI
Tong, Zhicheng; Du, Jiayin; Li, Yong The KAM theorem on the modulus of continuity about parameters. (English) Zbl 1542.37056 Sci. China, Math. 67, No. 3, 577-592 (2024). MSC: 37J40 70H08 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Kalinin, Boris Non-stationary normal forms for contracting extensions. (English) Zbl 1546.37075 Damjanović, Danijela (ed.) et al., A vision for dynamics in the 21st century. The legacy of Anatole Katok. Based on a memorial conference, Będlewo, Poland, August 2019. Cambridge: Cambridge University Press. 207-231 (2024). MSC: 37G05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scarcella, Donato Asymptotic motions converging to arbitrary dynamics for time-dependent Hamiltonians. (English) Zbl 1541.37066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 243, Article ID 113528, 27 p. (2024). MSC: 37J40 70H08 70H09 70H12 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garay, Mauricio; van Straten, Duco A category of Banach space functors. (English) Zbl 1540.18010 J. Lie Theory 34, No. 1, 207-236 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F99 22E66 37J40 46M15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Si, Zheng; Zhao, Liqin The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\). (English) Zbl 1541.34055 J. Math. Anal. Appl. 536, No. 2, Article ID 128178, 27 p. (2024). Reviewer: Maite Grau (Lleida) MSC: 34C07 34A36 34E10 34C23 34C05 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Ranran; Zhao, Liqin On the number of limit cycles bifurcating from the linear center with a cubic switching curve. (English) Zbl 1545.34060 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 134, 29 p. (2024). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C23 34A36 34C05 34C08 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Junmin; Han, Maoan Some properties of Melnikov functions near a cuspidal loop. (English) Zbl 07827579 Sci. China, Math. 67, No. 4, 767-786 (2024). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C23 34C05 34C07 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Niu, Xun; Ji, Shuguan; Li, Yong Towards weak KAM theory at relative equilibrium. (English) Zbl 1542.37055 J. Differ. Equations 392, 325-363 (2024). MSC: 37J40 70K43 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Fonda, Alessandro; Mamo, Natnael Gezahegn; Obersnel, Franco; Sfecci, Andrea Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions. (English) Zbl 1537.34039 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 31, 30 p. (2024). Reviewer: Yanqiong Lu (Lanzhou) MSC: 34B15 37J40 34E10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Crespo, F.; Espejo, D. E.; van der Meer, J. C. \((\mathbb{R}^3 \times SO(3) \times \mathbb{T}^6)\)-reduction, relative equilibria, and bifurcations for the full averaged model of two interacting rigid bodies. (English) Zbl 1539.70008 SIAM J. Appl. Dyn. Syst. 23, No. 1, 668-695 (2024). MSC: 70F05 34C20 34C25 37J40 70K65 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Lijun; Zhang, Xiang; Zhu, Jinbo Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system. (English) Zbl 07818465 J. Dyn. Differ. Equations 36, No. 1, 405-420 (2024). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C23 37J40 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yuan; Si, Wen Reducibility in a certain matrix Lie algebra for smooth linear quasi-periodic system. (English) Zbl 1546.34094 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 97, 30 p. (2024). MSC: 34C27 34C20 34C46 34A30 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Qi; Xu, Junxiang A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori. (English) Zbl 1540.37087 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 92, 23 p. (2024). MSC: 37J40 70K43 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Shengqing; Zhang, Jing Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. (English) Zbl 1541.37064 Discrete Contin. Dyn. Syst. 44, No. 5, 1267-1286 (2024). MSC: 37J40 70K43 70K40 70K60 34C15 70H08 70H09 34C27 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang Quasi-periodic solutions of \(n\) coupled Schrödinger equations with Liouvillean basic frequencies. (English) Zbl 1533.37128 J. Math. Phys. 65, No. 2, Article ID 022701, 23 p. (2024). MSC: 37J40 37J46 34C27 34C20 34A30 70H08 × Cite Format Result Cite Review PDF Full Text: DOI
Karaliolios, Nikolaos; Xu, Xu; Zhou, Qi Anosov-Katok constructions for quasi-periodic \(\operatorname{SL}(2, \mathbb{R})\) cocycles. (English) Zbl 07812096 Peking Math. J. 7, No. 1, 203-245 (2024). Reviewer: João Lopes Dias (Lisboa) MSC: 37J40 37D20 37D25 37D30 47B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Seul Bee; Marmi, Stefano; Petrykiewicz, Izabela; Schindler, Tanja I. Correction to: “Regularity properties of \(k\)-Brjuno and Wilton functions”. (English) Zbl 1540.30002 Aequationes Math. 98, No. 1, 349-350 (2024). MSC: 30B70 37F50 46F15 11F03 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Seul Bee; Marmi, Stefano; Petrykiewicz, Izabela; Schindler, Tanja I. Regularity properties of \(k\)-Brjuno and Wilton functions. (English) Zbl 1535.30010 Aequationes Math. 98, No. 1, 13-85 (2024); correction ibid. 98, No. 1, 349-350 (2024). MSC: 30B70 37F50 46F15 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv