Mazrooei-Sebdani, Reza; Hakimi, Elham Periodic Klein-Gordon chains with three particles in 1:2:2 resonance. (English) Zbl 07522531 J. Dyn. Differ. Equations 34, No. 2, 1349-1370 (2022). MSC: 37J12 37N20 37J40 70K30 37J35 70H06 70H33 70K45 PDF BibTeX XML Cite \textit{R. Mazrooei-Sebdani} and \textit{E. Hakimi}, J. Dyn. Differ. Equations 34, No. 2, 1349--1370 (2022; Zbl 07522531) Full Text: DOI OpenURL
Cong, Hongzi; Mi, Lufang; Wu, Xiaoqing; Zhang, Qidi Exponential stability estimate for the derivative nonlinear Schrödinger equation. (English) Zbl 07515326 Nonlinearity 35, No. 5, 2385-2423 (2022). MSC: 37K55 37J40 35B35 35Q35 PDF BibTeX XML Cite \textit{H. Cong} et al., Nonlinearity 35, No. 5, 2385--2423 (2022; Zbl 07515326) Full Text: DOI OpenURL
Zhang, Dongfeng; Wu, Hao On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition. (English) Zbl 07514713 J. Differ. Equations 324, 1-40 (2022). MSC: 70H08 37J40 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{H. Wu}, J. Differ. Equations 324, 1--40 (2022; Zbl 07514713) Full Text: DOI OpenURL
Zhang, Dongfeng; Xu, Junxiang On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies. (English) Zbl 07512005 Commun. Pure Appl. Anal. 21, No. 4, 1417-1445 (2022). MSC: 70H08 37J40 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{J. Xu}, Commun. Pure Appl. Anal. 21, No. 4, 1417--1445 (2022; Zbl 07512005) Full Text: DOI OpenURL
Gomes, Seán; Wunsch, Jared Caustics of weakly Lagrangian distributions. (English) Zbl 07511008 Ann. Henri Poincaré 23, No. 4, 1205-1237 (2022). MSC: 35A08 35S05 35P05 37J40 53D12 PDF BibTeX XML Cite \textit{S. Gomes} and \textit{J. Wunsch}, Ann. Henri Poincaré 23, No. 4, 1205--1237 (2022; Zbl 07511008) Full Text: DOI OpenURL
Gomes, Seán; Hassell, Andrew Semiclassical scarring on tori in KAM Hamiltonian systems. (English) Zbl 07509408 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1769-1790 (2022). MSC: 81Q10 81Q20 70H08 37J40 PDF BibTeX XML Cite \textit{S. Gomes} and \textit{A. Hassell}, J. Eur. Math. Soc. (JEMS) 24, No. 5, 1769--1790 (2022; Zbl 07509408) Full Text: DOI OpenURL
Chaperon, Marc Basic facts and naive questions. (English) Zbl 07506821 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 31, 17 p. (2022). MSC: 37J40 PDF BibTeX XML Cite \textit{M. Chaperon}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 31, 17 p. (2022; Zbl 07506821) Full Text: DOI OpenURL
Chen, Qinbo; de la Llave, Rafael Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. (English) Zbl 07489726 Nonlinearity 35, No. 4, 1986-2019 (2022). MSC: 37J40 37J25 70H08 70H33 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{R. de la Llave}, Nonlinearity 35, No. 4, 1986--2019 (2022; Zbl 07489726) Full Text: DOI arXiv OpenURL
He, Xiaolong; Qiu, Huanhuan; Shen, Jianhua Melnikov-type theorem for time reversible system. (English) Zbl 07489698 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 33, 27 p. (2022). MSC: 34C14 34C27 34C45 34D10 37J40 PDF BibTeX XML Cite \textit{X. He} et al., Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 33, 27 p. (2022; Zbl 07489698) Full Text: DOI OpenURL
Chen, Qiaoling; Cong, Hongzi; Meng, Lulu; Wu, Xiaoqing Long time stability result for 1-dimensional nonlinear Schrödinger equation. (English) Zbl 07471771 J. Differ. Equations 315, 90-121 (2022). MSC: 37K55 37J40 35B35 35Q35 PDF BibTeX XML Cite \textit{Q. Chen} et al., J. Differ. Equations 315, 90--121 (2022; Zbl 07471771) Full Text: DOI OpenURL
De La Llave, Rafael; Saprykina, Maria Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation. (English) Zbl 07469305 Ergodic Theory Dyn. Syst. 42, No. 3, 1166-1187 (2022). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{R. De La Llave} and \textit{M. Saprykina}, Ergodic Theory Dyn. Syst. 42, No. 3, 1166--1187 (2022; Zbl 07469305) Full Text: DOI arXiv OpenURL
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Melnikov method for non-conservative perturbations of the restricted three-body problem. (English) Zbl 07467871 Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022). MSC: 37J40 37D05 37C29 34C37 70F07 70H08 PDF BibTeX XML Cite \textit{M. Gidea} et al., Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022; Zbl 07467871) Full Text: DOI arXiv OpenURL
Galatolo, Stefano; Sorrentino, Alfonso Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle. (English) Zbl 07463731 Discrete Contin. Dyn. Syst. 42, No. 2, 815-839 (2022). MSC: 37C40 37C30 37J40 37C05 37E10 37H30 37C75 PDF BibTeX XML Cite \textit{S. Galatolo} and \textit{A. Sorrentino}, Discrete Contin. Dyn. Syst. 42, No. 2, 815--839 (2022; Zbl 07463731) Full Text: DOI arXiv OpenURL
Wang, Kaizhi; Wang, Lin; Yan, Jun Aubry-Mather theory for contact Hamiltonian systems. II. (English) Zbl 07463721 Discrete Contin. Dyn. Syst. 42, No. 2, 555-595 (2022). MSC: 37J55 37J40 PDF BibTeX XML Cite \textit{K. Wang} et al., Discrete Contin. Dyn. Syst. 42, No. 2, 555--595 (2022; Zbl 07463721) Full Text: DOI OpenURL
Fayad, Bassam; Saprykina, Maria Topological weak mixing and diffusion at all times for a class of Hamiltonian systems. (English) Zbl 07457822 Ergodic Theory Dyn. Syst. 42, No. 2, 777-791 (2022). MSC: 37J40 37J39 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{M. Saprykina}, Ergodic Theory Dyn. Syst. 42, No. 2, 777--791 (2022; Zbl 07457822) Full Text: DOI arXiv OpenURL
Zhao, Xuefeng; Li, Yong Iso-manifold KAM persistence. (English) Zbl 1481.37068 J. Differ. Equations 310, 484-505 (2022). MSC: 37J40 70K55 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{Y. Li}, J. Differ. Equations 310, 484--505 (2022; Zbl 1481.37068) Full Text: DOI OpenURL
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. (English) Zbl 07451425 J. Nonlinear Sci. 32, No. 1, Paper No. 4, 40 p. (2022). MSC: 70K43 37J40 70F15 37N05 PDF BibTeX XML Cite \textit{R. Calleja} et al., J. Nonlinear Sci. 32, No. 1, Paper No. 4, 40 p. (2022; Zbl 07451425) Full Text: DOI arXiv OpenURL
Corbera, Montserrat; Valls, Claudia Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields. (English) Zbl 07446157 Nonlinear Anal., Real World Appl. 64, Article ID 103451, 21 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C20 37J40 PDF BibTeX XML Cite \textit{M. Corbera} and \textit{C. Valls}, Nonlinear Anal., Real World Appl. 64, Article ID 103451, 21 p. (2022; Zbl 07446157) Full Text: DOI OpenURL
Rojas, David; Torres, Pedro J. Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity. (English) Zbl 07446147 Nonlinear Anal., Real World Appl. 64, Article ID 103441, 13 p. (2022). Reviewer: Fengqin Zhang (Yuncheng) MSC: 34C25 37C60 37J40 47N20 PDF BibTeX XML Cite \textit{D. Rojas} and \textit{P. J. Torres}, Nonlinear Anal., Real World Appl. 64, Article ID 103441, 13 p. (2022; Zbl 07446147) Full Text: DOI arXiv OpenURL
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael KAM quasi-periodic solutions for the dissipative standard map. (English) Zbl 07443110 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022). MSC: 70K43 37J40 34D35 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022; Zbl 07443110) Full Text: DOI OpenURL
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael KAM quasi-periodic tori for the dissipative spin-orbit problem. (English) Zbl 1480.37070 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106099, 22 p. (2022). MSC: 37J40 37C70 37M22 37N05 70H08 70F15 PDF BibTeX XML Cite \textit{R. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106099, 22 p. (2022; Zbl 1480.37070) Full Text: DOI arXiv OpenURL
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D. Computer assisted proof of drift orbits along normally hyperbolic manifolds. (English) Zbl 07443097 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 105970, 21 p. (2022). MSC: 37M21 37D10 37J25 37J40 PDF BibTeX XML Cite \textit{M. J. Capiński} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 105970, 21 p. (2022; Zbl 07443097) Full Text: DOI arXiv OpenURL
Nieto, Alexandre R.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Noise activates escapes in closed Hamiltonian systems. (English) Zbl 07443083 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106074, 12 p. (2022). MSC: 37J40 37M22 65P20 70K55 PDF BibTeX XML Cite \textit{A. R. Nieto} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106074, 12 p. (2022; Zbl 07443083) Full Text: DOI arXiv OpenURL
Ligeza, Adam; Zoladek, Henryk Qualitative analysis of some libration points in the restricted four-body problem. (English) Zbl 07499142 Nelineĭn. Din. 17, No. 4, 369-390 (2021). MSC: 70F10 37J40 34D20 37J20 PDF BibTeX XML Cite \textit{A. Ligeza} and \textit{H. Zoladek}, Nelineĭn. Din. 17, No. 4, 369--390 (2021; Zbl 07499142) Full Text: DOI MNR OpenURL
Sultanov, Oskar A. Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations. (English) Zbl 07472926 Discrete Contin. Dyn. Syst. 41, No. 12, 5943-5978 (2021). MSC: 37J40 PDF BibTeX XML Cite \textit{O. A. Sultanov}, Discrete Contin. Dyn. Syst. 41, No. 12, 5943--5978 (2021; Zbl 07472926) Full Text: DOI arXiv OpenURL
Bolotin, S. V. Crossing of the critical energy level in Hamiltonian systems with slow dependence on time. (English. Russian original) Zbl 07455575 Math. Notes 110, No. 6, 956-959 (2021); translation from Mat. Zametki 110, No. 6, 927-931 (2021). MSC: 37J46 37J40 70K44 PDF BibTeX XML Cite \textit{S. V. Bolotin}, Math. Notes 110, No. 6, 956--959 (2021; Zbl 07455575); translation from Mat. Zametki 110, No. 6, 927--931 (2021) Full Text: DOI OpenURL
Zhang, Xiaofei; Liu, Chungen Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth. (English) Zbl 1476.34104 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 45, 8 p. (2021). MSC: 34C25 37J40 58E05 70H05 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C. Liu}, SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 45, 8 p. (2021; Zbl 1476.34104) Full Text: DOI OpenURL
Bunimovich, Leonid A.; Casati, Giulio; Prosen, Tomaž; Vidmar, Gregor Few islands approximation of Hamiltonian system with divided phase space. (English) Zbl 07446654 Exp. Math. 30, No. 4, 459-468 (2021). MSC: 37J40 70K55 70H08 PDF BibTeX XML Cite \textit{L. A. Bunimovich} et al., Exp. Math. 30, No. 4, 459--468 (2021; Zbl 07446654) Full Text: DOI arXiv OpenURL
Kourliouros, Konstantinos Sections of Hamiltonian systems. (English) Zbl 07441634 Regul. Chaotic Dyn. 26, No. 4, 331-349 (2021). MSC: 37J39 37J40 37J06 57R45 70H15 70H45 PDF BibTeX XML Cite \textit{K. Kourliouros}, Regul. Chaotic Dyn. 26, No. 4, 331--349 (2021; Zbl 07441634) Full Text: DOI arXiv OpenURL
Li, Tao; Llibre, Jaume Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). (English) Zbl 07436400 Commun. Pure Appl. Anal. 20, No. 11, 3887-3909 (2021). Reviewer: Armengol Gasull (Barcelona) MSC: 34A36 34C05 34C23 34C14 34C29 37J40 PDF BibTeX XML Cite \textit{T. Li} and \textit{J. Llibre}, Commun. Pure Appl. Anal. 20, No. 11, 3887--3909 (2021; Zbl 07436400) Full Text: DOI OpenURL
Xu, Junxiang Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter. (English) Zbl 07430790 Nonlinearity 34, No. 12, 8192-8247 (2021). MSC: 37J40 37J25 70H08 70K43 PDF BibTeX XML Cite \textit{J. Xu}, Nonlinearity 34, No. 12, 8192--8247 (2021; Zbl 07430790) Full Text: DOI OpenURL
Fernández, Diego S.; López, Álvaro G.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Ergodic decay laws in Newtonian and relativistic chaotic scattering. (English) Zbl 07427947 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105987, 15 p. (2021). MSC: 37M25 37M05 37J40 70H08 70K55 PDF BibTeX XML Cite \textit{D. S. Fernández} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105987, 15 p. (2021; Zbl 07427947) Full Text: DOI arXiv OpenURL
Latigui, Nawel; Ghomari, Kaoutar; Messirdi, Bekkai Theoretical and numerical results on Birkhoff normal forms and resonances in the Born-Oppenheimer approximation. (English) Zbl 1482.37062 Mem. Differ. Equ. Math. Phys. 83, 83-97 (2021). MSC: 37J40 37G05 70K30 PDF BibTeX XML Cite \textit{N. Latigui} et al., Mem. Differ. Equ. Math. Phys. 83, 83--97 (2021; Zbl 1482.37062) Full Text: Link OpenURL
Zhou, Jinping; Zhao, Liqin; Wang, Jiaxin Cyclicity of a class of Hamiltonian systems under perturbations of piecewise smooth polynomials. (English) Zbl 07414122 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021). Reviewer: Iliya Iliev (Sofia) MSC: 37J40 37J20 34C07 34C08 PDF BibTeX XML Cite \textit{J. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021; Zbl 07414122) Full Text: DOI OpenURL
Luo, Min; Huang, Dasong; Jiao, Jianfeng; Wang, Ruiqi Detection of synergistic combinatorial perturbations by a bifurcation-based approach. (English) Zbl 1472.92122 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150175, 12 p. (2021). MSC: 92C50 37J40 37J20 PDF BibTeX XML Cite \textit{M. Luo} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150175, 12 p. (2021; Zbl 1472.92122) Full Text: DOI OpenURL
Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit. (English) Zbl 1481.37105 SIAM J. Appl. Dyn. Syst. 20, No. 3, 1421-1463 (2021). MSC: 37N05 37J25 37J40 70F15 70K28 65L70 PDF BibTeX XML Cite \textit{D. Cárcamo-Díaz} et al., SIAM J. Appl. Dyn. Syst. 20, No. 3, 1421--1463 (2021; Zbl 1481.37105) Full Text: DOI OpenURL
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Periodic solutions to a perturbed relativistic Kepler problem. (English) Zbl 07412924 SIAM J. Math. Anal. 53, No. 5, 5813-5834 (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C25 34C45 34C23 37J40 70H08 70H12 PDF BibTeX XML Cite \textit{A. Boscaggin} et al., SIAM J. Math. Anal. 53, No. 5, 5813--5834 (2021; Zbl 07412924) Full Text: DOI arXiv OpenURL
Shi, Yixia; Han, Maoan; Zhang, Lijun Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 07412655 J. Differ. Equations 304, 1-28 (2021). MSC: 34C23 34C05 34C37 34E10 37J40 PDF BibTeX XML Cite \textit{Y. Shi} et al., J. Differ. Equations 304, 1--28 (2021; Zbl 07412655) Full Text: DOI OpenURL
Motonaga, Shoya; Yagasaki, Kazuyuki Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems. (English) Zbl 07411914 Nonlinearity 34, No. 11, 7574-7608 (2021). MSC: 37C27 37C29 37C80 34C14 34E10 34A05 34C40 37J40 PDF BibTeX XML Cite \textit{S. Motonaga} and \textit{K. Yagasaki}, Nonlinearity 34, No. 11, 7574--7608 (2021; Zbl 07411914) Full Text: DOI arXiv OpenURL
Chierchia, Luigi; Koudjinan, Comlan E. V. I. Arnold’s “Global” KAM theorem and geometric measure estimates. (English) Zbl 1481.37065 Regul. Chaotic Dyn. 26, No. 1, 61-88 (2021). MSC: 37J40 37J35 37J25 70H08 70K43 PDF BibTeX XML Cite \textit{L. Chierchia} and \textit{C. E. Koudjinan}, Regul. Chaotic Dyn. 26, No. 1, 61--88 (2021; Zbl 1481.37065) Full Text: DOI arXiv OpenURL
Wang, Xiaocai; Cao, Xiaofei On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations. (English) Zbl 07408260 Acta Appl. Math. 173, Paper No. 10, 27 p. (2021). Reviewer: Yong Li (Changchun) MSC: 37J40 37J51 70K43 70H08 PDF BibTeX XML Cite \textit{X. Wang} and \textit{X. Cao}, Acta Appl. Math. 173, Paper No. 10, 27 p. (2021; Zbl 07408260) Full Text: DOI OpenURL
Bounemoura, Abed Bounemoura; Féjoz, Jacques Hamiltonian perturbation theory for ultra-differentiable functions. (English) Zbl 07403464 Memoirs of the American Mathematical Society 1319. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4691-8/pbk; 978-1-4704-6526-1/ebook). v, 89 p. (2021). MSC: 37-02 37K55 37J40 PDF BibTeX XML Cite \textit{A. B. Bounemoura} and \textit{J. Féjoz}, Hamiltonian perturbation theory for ultra-differentiable functions. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 07403464) Full Text: DOI arXiv 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
Wu, Hao; Xu, Xingdong; Zhang, Dongfeng On the ultradifferentiable normalization. (English) Zbl 07402900 Math. Z. 299, No. 1-2, 751-779 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C20 26E10 37J40 PDF BibTeX XML Cite \textit{H. Wu} et al., Math. Z. 299, No. 1--2, 751--779 (2021; Zbl 07402900) Full Text: DOI OpenURL
Trujillo, Frank Uniqueness properties of the KAM curve. (English) Zbl 07393879 Discrete Contin. Dyn. Syst. 41, No. 11, 5165-5182 (2021). MSC: 37E40 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{F. Trujillo}, Discrete Contin. Dyn. Syst. 41, No. 11, 5165--5182 (2021; Zbl 07393879) 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
Jing, Tianqi; Si, Wen Completely degenerate lower-dimensional invariant tori in reversible systems. (English) Zbl 1481.37066 Proc. Am. Math. Soc. 149, No. 10, 4247-4260 (2021). Reviewer: Xiang Zhang (Shanghai) MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{T. Jing} and \textit{W. Si}, Proc. Am. Math. Soc. 149, No. 10, 4247--4260 (2021; Zbl 1481.37066) Full Text: DOI OpenURL
Soga, Kohei Weak KAM theory for action minimizing random walks. (English) Zbl 1478.37063 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 179, 49 p. (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J51 37H12 60G50 05C81 PDF BibTeX XML Cite \textit{K. Soga}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 179, 49 p. (2021; Zbl 1478.37063) Full Text: DOI arXiv OpenURL
Cheng, Chong-Qing; Zhou, Min Residues of destructed resonance torus. (English) Zbl 1477.37066 J. Dyn. Differ. Equations 33, No. 3, 1515-1530 (2021). MSC: 37J40 37K55 70K43 70H08 PDF BibTeX XML Cite \textit{C.-Q. Cheng} and \textit{M. Zhou}, J. Dyn. Differ. Equations 33, No. 3, 1515--1530 (2021; Zbl 1477.37066) Full Text: DOI OpenURL
Wu, Yuan; Yuan, Xiaoping A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig). (English) Zbl 1477.37083 J. Dyn. Differ. Equations 33, No. 3, 1427-1474 (2021). MSC: 37K55 37J40 70K43 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{X. Yuan}, J. Dyn. Differ. Equations 33, No. 3, 1427--1474 (2021; Zbl 1477.37083) Full Text: DOI OpenURL
Baldi, Pietro; Haus, Emanuele On the normal form of the Kirchhoff equation. (English) Zbl 1471.35208 J. Dyn. Differ. Equations 33, No. 3, 1203-1230 (2021). MSC: 35L72 35B10 35K20 35Q74 37J40 37K55 70K45 PDF BibTeX XML Cite \textit{P. Baldi} and \textit{E. Haus}, J. Dyn. Differ. Equations 33, No. 3, 1203--1230 (2021; Zbl 1471.35208) Full Text: DOI arXiv 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
Jing, Tianqi; Si, Wen Moser’s theorem for hyperbolic-type degenerate lower tori in Hamiltonian system. (English) Zbl 07382032 J. Differ. Equations 299, 602-629 (2021). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{T. Jing} and \textit{W. Si}, J. Differ. Equations 299, 602--629 (2021; Zbl 07382032) Full Text: DOI OpenURL
Paez, Rocío I.; Guzzo, Massimiliano Transits close to the Lagrangian solutions \(L_1, L_2\) in the elliptic restricted three-body problem. (English) Zbl 1476.70026 Nonlinearity 34, No. 9, 6417-6449 (2021). MSC: 70F07 70F15 37J40 70M20 37D10 37D05 PDF BibTeX XML Cite \textit{R. I. Paez} and \textit{M. Guzzo}, Nonlinearity 34, No. 9, 6417--6449 (2021; Zbl 1476.70026) Full Text: DOI arXiv OpenURL
Xu, Junxiang; Li, Qi; Wang, Jun Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter. (English) Zbl 1476.37077 J. Differ. Equations 293, 188-225 (2021). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{J. Xu} et al., J. Differ. Equations 293, 188--225 (2021; Zbl 1476.37077) Full Text: DOI OpenURL
Su, Xifeng; Thieullen, Philippe Gottschalk-Hedlund theorem revisited. (English) Zbl 1477.37008 Math. Res. Lett. 28, No. 1, 285-300 (2021). Reviewer: Thomas B. Ward (Leeds) MSC: 37A30 37J40 37M25 PDF BibTeX XML Cite \textit{X. Su} and \textit{P. Thieullen}, Math. Res. Lett. 28, No. 1, 285--300 (2021; Zbl 1477.37008) Full Text: DOI OpenURL
Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C. Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator. (English) Zbl 1475.37057 J. Dyn. Control Syst. 27, No. 3, 491-506 (2021). MSC: 37G15 34C25 34C37 37J40 37J35 70K50 70K60 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Dyn. Control Syst. 27, No. 3, 491--506 (2021; Zbl 1475.37057) Full Text: DOI OpenURL
Sun, Yingte Floquet solutions for the Schrödinger equation with fast-oscillating quasi-periodic potentials. (English) Zbl 1482.37063 Discrete Contin. Dyn. Syst. 41, No. 10, 4531-4543 (2021). Reviewer: Ekin Uğurlu (Ankara) MSC: 37J40 34D05 34L40 PDF BibTeX XML Cite \textit{Y. Sun}, Discrete Contin. Dyn. Syst. 41, No. 10, 4531--4543 (2021; Zbl 1482.37063) Full Text: DOI OpenURL
Haro, Alex; Mondelo, J. M. Flow map parameterization methods for invariant tori in Hamiltonian systems. (English) Zbl 1473.37100 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105859, 34 p. (2021). MSC: 37M21 37M15 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{A. Haro} and \textit{J. M. Mondelo}, Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105859, 34 p. (2021; Zbl 1473.37100) 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
Kunze, Markus; Ortega, Rafael Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt. (English) Zbl 1475.37049 Nonlinearity 34, No. 6, 3732-3761 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37E40 37C35 37J25 37J11 37J40 70H11 70H14 70K40 PDF BibTeX XML Cite \textit{M. Kunze} and \textit{R. Ortega}, Nonlinearity 34, No. 6, 3732--3761 (2021; Zbl 1475.37049) Full Text: DOI OpenURL
Zapata, J. L.; Crespo, F.; Ferrer, S. Relative equilibria, stability and bifurcations in Hamiltonian galactic tidal models. (English) Zbl 1471.37074 Dyn. Syst. 36, No. 1, 19-38 (2021). MSC: 37N05 37J20 37J25 37J40 85A05 PDF BibTeX XML Cite \textit{J. L. Zapata} et al., Dyn. Syst. 36, No. 1, 19--38 (2021; Zbl 1471.37074) Full Text: DOI OpenURL
Sun, Xianbo; Chen, Zhanbo; Yu, Pei Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 07360894 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661-5679 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C37 37J40 34E10 34C05 PDF BibTeX XML Cite \textit{X. Sun} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661--5679 (2021; Zbl 07360894) Full Text: DOI OpenURL
Li, Jia; Xu, Junxiang On the reducibility of a class of almost periodic Hamiltonian systems. (English) Zbl 1477.37067 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3905-3919 (2021). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J40 37J06 37J46 37J11 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. Xu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3905--3919 (2021; Zbl 1477.37067) Full Text: DOI OpenURL
Mazrooei-Sebdani, Reza; Yousefi, Zahra The coupled 1:2 resonance in a symmetric case and parametric amplification model. (English) Zbl 1471.37060 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3737-3765 (2021). MSC: 37J40 37J35 70K30 70H05 70H06 PDF BibTeX XML Cite \textit{R. Mazrooei-Sebdani} and \textit{Z. Yousefi}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3737--3765 (2021; Zbl 1471.37060) Full Text: DOI OpenURL
Shi, Hua; Zhang, Xiang; Zhang, Yuyan Complex planar Hamiltonian systems: linearization and dynamics. (English) Zbl 1478.37061 Discrete Contin. Dyn. Syst. 41, No. 7, 3295-3317 (2021). Reviewer: Jie Liu (Jiaozuo) MSC: 37J38 37J46 37J35 37J40 PDF BibTeX XML Cite \textit{H. Shi} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3295--3317 (2021; Zbl 1478.37061) Full Text: DOI OpenURL
Sun, Yangjian; Liu, Changjian The Poincaré bifurcation of a SD oscillator. (English) Zbl 1479.34063 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565-1577 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C23 34C05 34C15 37J40 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1565--1577 (2021; Zbl 1479.34063) Full Text: DOI OpenURL
Gutkin, B.; Cvitanović, P.; Jafari, R.; Saremi, A. K.; Han, L. Linear encoding of the spatiotemporal cat. (English) Zbl 1472.37064 Nonlinearity 34, No. 5, 2800-2836 (2021). Reviewer: Piotr Garbaczewski (Opole) MSC: 37J46 37J40 37E30 37D45 39A23 37B10 PDF BibTeX XML Cite \textit{B. Gutkin} et al., Nonlinearity 34, No. 5, 2800--2836 (2021; Zbl 1472.37064) Full Text: DOI arXiv OpenURL
Zhang, Dongfeng; Xu, Junxiang Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. (English) Zbl 1469.37048 Ergodic Theory Dyn. Syst. 41, No. 6, 1883-1920 (2021). MSC: 37J40 34C27 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{J. Xu}, Ergodic Theory Dyn. Syst. 41, No. 6, 1883--1920 (2021; Zbl 1469.37048) Full Text: DOI OpenURL
Bounemoura, Abed; Chavaudret, Claire; Liang, Shuqing Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition. (English) Zbl 07352298 Proc. Am. Math. Soc. 149, No. 7, 2999-3012 (2021). MSC: 37J40 37A44 37C40 37C55 PDF BibTeX XML Cite \textit{A. Bounemoura} et al., Proc. Am. Math. Soc. 149, No. 7, 2999--3012 (2021; Zbl 07352298) Full Text: DOI arXiv OpenURL
Felder, Giovanni Poncelet property and quasi-periodicity of the integrable Boltzmann system. (English) Zbl 1475.37062 Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021). MSC: 37J35 37J40 37J38 14H70 82B23 PDF BibTeX XML Cite \textit{G. Felder}, Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021; Zbl 1475.37062) Full Text: DOI arXiv OpenURL
Zhang, Xinli; Peng, Yaqun; Piao, Daxiong Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential. (English) Zbl 1469.34051 Sci. China, Math. 64, No. 5, 931-946 (2021). Reviewer: Qihuai Liu (Guilin) MSC: 34C11 34C27 37E40 37J40 PDF BibTeX XML Cite \textit{X. Zhang} et al., Sci. China, Math. 64, No. 5, 931--946 (2021; Zbl 1469.34051) Full Text: DOI OpenURL
Cai, Ao; Wang, Xueyin Polynomial decay of the gap length for \(C^k\) quasi-periodic Schrödinger operators and spectral application. (English) Zbl 1466.37022 J. Funct. Anal. 281, No. 3, Article ID 109035, 30 p. (2021). MSC: 37C40 37C30 37J40 37K55 34L40 PDF BibTeX XML Cite \textit{A. Cai} and \textit{X. Wang}, J. Funct. Anal. 281, No. 3, Article ID 109035, 30 p. (2021; Zbl 1466.37022) Full Text: DOI arXiv OpenURL
Pnueli, M.; Rom-Kedar, V. On the structure of Hamiltonian impact systems. (English) Zbl 1470.37082 Nonlinearity 34, No. 4, 2611-2658 (2021). MSC: 37J39 37J30 37J40 37J35 70H06 PDF BibTeX XML Cite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, Nonlinearity 34, No. 4, 2611--2658 (2021; Zbl 1470.37082) Full Text: DOI arXiv OpenURL
Duignan, Nathan; Meiss, James D. Nonexistence of invariant tori transverse to foliations: an application of converse KAM theory. (English) Zbl 1458.37044 Chaos 31, No. 1, 013124, 19 p. (2021). MSC: 37D10 37J40 37C86 PDF BibTeX XML Cite \textit{N. Duignan} and \textit{J. D. Meiss}, Chaos 31, No. 1, 013124, 19 p. (2021; Zbl 1458.37044) Full Text: DOI arXiv OpenURL
Wang, Kaizhi; Wang, Lin; Yan, Jun Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions. (English) Zbl 1465.37083 J. Differ. Equations 286, 411-432 (2021). MSC: 37K55 37J40 35F21 70H20 PDF BibTeX XML Cite \textit{K. Wang} et al., J. Differ. Equations 286, 411--432 (2021; Zbl 1465.37083) Full Text: DOI arXiv OpenURL
Chen, Qinbo; Pinzari, Gabriella Exponential stability of fast driven systems, with an application to celestial mechanics. (English) Zbl 1472.34104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021). Reviewer: Bertin Zinsou (Johannesburg) MSC: 34D20 34C20 70F10 37J40 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{G. Pinzari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021; Zbl 1472.34104) Full Text: DOI arXiv OpenURL
Jäger, Tobias; Koropecki, Andres; Tal, Fabio Armando On the onset of diffusion in the kicked Harper model. (English) Zbl 1466.37050 Commun. Math. Phys. 383, No. 2, 953-980 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J11 37E30 37E45 PDF BibTeX XML Cite \textit{T. Jäger} et al., Commun. Math. Phys. 383, No. 2, 953--980 (2021; Zbl 1466.37050) Full Text: DOI arXiv OpenURL
de Carvalho Braga, Denis; Fernandes da Fonseca, Alexander; Gonçalves, Luiz Fernando; Mello, Luis Fernando Limit cycles bifurcating from an invisible fold-fold in planar piecewise Hamiltonian systems. (English) Zbl 07329763 J. Dyn. Control Syst. 27, No. 1, 179-204 (2021). Reviewer: Alex Rezende (São Carlos) MSC: 34C23 34A36 34C05 34E10 37J40 PDF BibTeX XML Cite \textit{D. de Carvalho Braga} et al., J. Dyn. Control Syst. 27, No. 1, 179--204 (2021; Zbl 07329763) Full Text: DOI OpenURL
Chaika, Jon; Frączek, Krzysztof; Kanigowski, Adam; Ulcigrai, Corinna Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders. (English) Zbl 1480.37050 Commun. Math. Phys. 381, No. 3, 1369-1407 (2021). Reviewer: Manuel de León (Madrid) MSC: 37E30 37C40 37D25 37D40 37J39 37J40 37A05 PDF BibTeX XML Cite \textit{J. Chaika} et al., Commun. Math. Phys. 381, No. 3, 1369--1407 (2021; Zbl 1480.37050) Full Text: DOI arXiv OpenURL
Cheng, Hongyu; Wang, Shimin Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency. (English) Zbl 1480.70023 Commun. Pure Appl. Anal. 20, No. 2, 467-494 (2021). Reviewer: Yong Li (Changchun) MSC: 70H08 37J40 34C15 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{S. Wang}, Commun. Pure Appl. Anal. 20, No. 2, 467--494 (2021; Zbl 1480.70023) Full Text: DOI OpenURL
Gasiorek, Sean On the dynamics of inverse magnetic billiards. (English) Zbl 1464.37036 Nonlinearity 34, No. 3, 1503-1524 (2021). MSC: 37C83 37J46 37J40 78A35 PDF BibTeX XML Cite \textit{S. Gasiorek}, Nonlinearity 34, No. 3, 1503--1524 (2021; Zbl 1464.37036) Full Text: DOI arXiv OpenURL
Caracciolo, Chiara; Locatelli, Ugo Elliptic tori in FPU non-linear chains with a small number of nodes. (English) Zbl 1462.37072 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021). MSC: 37J40 37N05 37K60 65P40 70H08 70H15 PDF BibTeX XML Cite \textit{C. Caracciolo} and \textit{U. Locatelli}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021; Zbl 1462.37072) Full Text: DOI arXiv OpenURL
Sevryuk, Mikhail B. Hamiltonian and reversible systems with smooth families of invariant tori. (English) Zbl 1464.37065 Indag. Math., New Ser. 32, No. 2, 406-425 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J46 37J40 70H08 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Indag. Math., New Ser. 32, No. 2, 406--425 (2021; Zbl 1464.37065) Full Text: DOI arXiv OpenURL
Freidlin, M. I.; Wentzell, A. D. Diffusion approximation for noise-induced evolution of first integrals in multifrequency systems. (English) Zbl 1462.37073 J. Stat. Phys. 182, No. 3, Paper No. 45, 25 p. (2021). MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{M. I. Freidlin} and \textit{A. D. Wentzell}, J. Stat. Phys. 182, No. 3, Paper No. 45, 25 p. (2021; Zbl 1462.37073) Full Text: DOI arXiv OpenURL
Sevryuk, M. B. Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2. (English. Russian original) Zbl 1462.37074 J. Math. Sci., New York 253, No. 5, 730-753 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546-541 (2017). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, J. Math. Sci., New York 253, No. 5, 730--753 (2021; Zbl 1462.37074); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546--541 (2017) Full Text: DOI arXiv OpenURL
Calleja, Renato; Canadell, Marta; Haro, Alex Non-twist invariant circles in conformally symplectic systems. (English) Zbl 1464.37058 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105695, 16 p. (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J11 37J40 37C70 37D10 37M21 PDF BibTeX XML Cite \textit{R. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105695, 16 p. (2021; Zbl 1464.37058) Full Text: DOI arXiv OpenURL
Ge, Chuanfang; Geng, Jiansheng; Lou, Zhaowei KAM tori for completely resonant Hamiltonian derivative beam equations on \(\mathbb{T}^2\). (English) Zbl 1460.37070 J. Dyn. Differ. Equations 33, No. 1, 525-547 (2021). MSC: 37K55 37J40 34C27 34C15 PDF BibTeX XML Cite \textit{C. Ge} et al., J. Dyn. Differ. Equations 33, No. 1, 525--547 (2021; Zbl 1460.37070) Full Text: DOI OpenURL
de la Llave, Rafael; Xu, Lu Whiskered tori for presymplectic dynamical systems. (English) Zbl 1460.37059 J. Dyn. Differ. Equations 33, No. 1, 1-34 (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 37J38 70K43 53D05 53D22 70H15 PDF BibTeX XML Cite \textit{R. de la Llave} and \textit{L. Xu}, J. Dyn. Differ. Equations 33, No. 1, 1--34 (2021; Zbl 1460.37059) Full Text: DOI OpenURL
Guan, Xinyu; Si, Jianguo; Si, Wen Parabolic invariant tori in quasi-periodically forced skew-product maps. (English) Zbl 1459.37051 J. Differ. Equations 277, 234-274 (2021). MSC: 37J40 37E40 70K43 70H08 47B80 81Q10 37A20 37D25 PDF BibTeX XML Cite \textit{X. Guan} et al., J. Differ. Equations 277, 234--274 (2021; Zbl 1459.37051) Full Text: DOI OpenURL
Chen, Qinbo; Cheng, Chong-Qing Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems. (English) Zbl 1459.37049 Nonlinearity 34, No. 1, 455-508 (2021). MSC: 37J40 37J25 70H09 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{C.-Q. Cheng}, Nonlinearity 34, No. 1, 455--508 (2021; Zbl 1459.37049) Full Text: DOI arXiv OpenURL
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. (English) Zbl 1473.37075 Nonlinearity 34, No. 1, 372-393 (2021). Reviewer: Yong Li (Changchun) MSC: 37J40 47H10 70K40 PDF BibTeX XML Cite \textit{H. Cheng} et al., Nonlinearity 34, No. 1, 372--393 (2021; Zbl 1473.37075) Full Text: DOI arXiv OpenURL
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Global effect of non-conservative perturbations on homoclinic orbits. (English) Zbl 1459.37050 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021). MSC: 37J40 37J46 37C29 34C37 70H09 70K44 PDF BibTeX XML Cite \textit{M. Gidea} et al., Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 9, 40 p. (2021; Zbl 1459.37050) Full Text: DOI arXiv OpenURL
Yang, Xiaomei; Xu, Junxiang Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions. (English) Zbl 1459.37053 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 7, 26 p. (2021). MSC: 37J40 70K43 PDF BibTeX XML Cite \textit{X. Yang} and \textit{J. Xu}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 7, 26 p. (2021; Zbl 1459.37053) Full Text: DOI OpenURL
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Normal resonances in a double Hopf bifurcation. (English) Zbl 1461.37051 Indag. Math., New Ser. 32, No. 1, 33-54 (2021). Reviewer: Hao Wu (Nanjing) MSC: 37G05 37G15 37G35 37J20 37J40 PDF BibTeX XML Cite \textit{H. Broer} et al., Indag. Math., New Ser. 32, No. 1, 33--54 (2021; Zbl 1461.37051) Full Text: DOI OpenURL
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. (English) Zbl 1465.34042 J. Differ. Equations 276, 318-341 (2021). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C07 34C05 34C23 37G15 34C08 37J40 PDF BibTeX XML Cite \textit{J.-P. Françoise} et al., J. Differ. Equations 276, 318--341 (2021; Zbl 1465.34042) Full Text: DOI OpenURL
Cen, Xiuli New lower bound for the number of critical periods for planar polynomial systems. (English) Zbl 1462.34067 J. Differ. Equations 271, 480-498 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C23 34C25 34C07 37J40 34E10 PDF BibTeX XML Cite \textit{X. Cen}, J. Differ. Equations 271, 480--498 (2021; Zbl 1462.34067) Full Text: DOI arXiv OpenURL
Arcostanzo, Marc The \(C^0\) integrability of symplectic twist maps without conjugate points. (English) Zbl 1457.37078 Ergodic Theory Dyn. Syst. 41, No. 1, 48-65 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J11 37J35 37J40 37E40 53D22 PDF BibTeX XML Cite \textit{M. Arcostanzo}, Ergodic Theory Dyn. Syst. 41, No. 1, 48--65 (2021; Zbl 1457.37078) Full Text: DOI arXiv OpenURL
Chang, Yinshan; Yan, Jingzhi Second order asymptotics for Krein indefinite multipliers with multiplicity two. (English) Zbl 1454.37053 J. Differ. Equations 270, 1138-1159 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J20 37J25 37J40 70F05 70F07 PDF BibTeX XML Cite \textit{Y. Chang} and \textit{J. Yan}, J. Differ. Equations 270, 1138--1159 (2021; Zbl 1454.37053) Full Text: DOI arXiv OpenURL
Wu, Yuan; Yuan, Xiaoping On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range. (English) Zbl 1453.37071 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112120, 34 p. (2021). MSC: 37K55 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{X. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112120, 34 p. (2021; Zbl 1453.37071) Full Text: DOI arXiv OpenURL