Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. II: Degree 12 case. (English) Zbl 07641100 J. Number Theory 244, 84-110 (2023). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDF BibTeX XML Cite \textit{A. Hoshi} et al., J. Number Theory 244, 84--110 (2023; Zbl 07641100) Full Text: DOI arXiv OpenURL
Yang, Xiaomei; Xu, Junxiang Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems. (English) Zbl 07637390 J. Differ. Equations 346, 229-253 (2023). MSC: 37J40 37J25 37J05 PDF BibTeX XML Cite \textit{X. Yang} and \textit{J. Xu}, J. Differ. Equations 346, 229--253 (2023; Zbl 07637390) Full Text: DOI OpenURL
Borovin, G. K.; Golubev, Y. F.; Grushevskii, A. V.; Tuchin, A. G. Perturbation hollow spheres and planetary perturbation rings pursuant to the gravity assists scattering in the Solar system. (English) Zbl 07644054 Math. Montisnigri 55, 67-73 (2022). MSC: 37N05 68Q05 70F07 70K70 70K43 PDF BibTeX XML Cite \textit{G. K. Borovin} et al., Math. Montisnigri 55, 67--73 (2022; Zbl 07644054) Full Text: DOI OpenURL
Farré, Gerard; Fayad, Bassam Instabilities of invariant quasi-periodic tori. (English) Zbl 07619421 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4363-4383 (2022). MSC: 37J40 37J25 PDF BibTeX XML Cite \textit{G. Farré} and \textit{B. Fayad}, J. Eur. Math. Soc. (JEMS) 24, No. 12, 4363--4383 (2022; Zbl 07619421) Full Text: DOI arXiv OpenURL
Bac, Dao Phuong On some estimates and topological properties of relative orbits of subsets. (English) Zbl 07608438 J. Algebra Appl. 21, No. 12, Article ID 2250241, 35 p. (2022). MSC: 14L30 14L24 20G15 11S99 PDF BibTeX XML Cite \textit{D. P. Bac}, J. Algebra Appl. 21, No. 12, Article ID 2250241, 35 p. (2022; Zbl 07608438) Full Text: DOI OpenURL
Han, Qianqian; Deng, Bo; Yang, Xiao-Song The existence of \( \omega \)-limit set for a modified Nosé-Hoover oscillator. (English) Zbl 07595642 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7275-7300 (2022). Reviewer: Eduard Musafirov (Grodno) MSC: 34C15 34C45 34C05 37D45 65P20 PDF BibTeX XML Cite \textit{Q. Han} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7275--7300 (2022; Zbl 07595642) Full Text: DOI OpenURL
Wang, Xiaocai; Cao, Xiaofei; Liu, Xuqing On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations. (English) Zbl 07595603 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6441-6463 (2022). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{X. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6441--6463 (2022; Zbl 07595603) Full Text: DOI OpenURL
Cheng, Hongyu Linearization of quasi-periodically forced circle flows beyond multi-dimensional Brjuno frequency. (English) Zbl 07587107 J. Dyn. Differ. Equations 34, No. 3, 1877-1894 (2022). MSC: 70K43 37C55 70H08 PDF BibTeX XML Cite \textit{H. Cheng}, J. Dyn. Differ. Equations 34, No. 3, 1877--1894 (2022; Zbl 07587107) Full Text: DOI OpenURL
Huang, Peng Existence of invariant curves for degenerate quasi-periodic reversible mappings. (English) Zbl 07579494 Taiwanese J. Math. 26, No. 4, 765-798 (2022). MSC: 37J40 37E40 70K43 PDF BibTeX XML Cite \textit{P. Huang}, Taiwanese J. Math. 26, No. 4, 765--798 (2022; Zbl 07579494) Full Text: DOI Link OpenURL
Banerjee, Indrani Deciphering signatures of Bardeen black holes from the observed quasi-periodic oscillations. (English) Zbl 07579105 J. Cosmol. Astropart. Phys. 2022, No. 5, Paper No. 20, 22 p. (2022). MSC: 83C57 83D05 70K43 35B05 70M20 70F05 81V60 85A15 PDF BibTeX XML Cite \textit{I. Banerjee}, J. Cosmol. Astropart. Phys. 2022, No. 5, Paper No. 20, 22 p. (2022; Zbl 07579105) Full Text: DOI arXiv OpenURL
Caracciolo, Chiara Normal form for lower dimensional elliptic tori in Hamiltonian systems. (English) Zbl 07575849 Math. Eng. (Springfield) 4, No. 6, Paper No. 51, 40 p. (2022). MSC: 37J40 70H08 70K43 70K60 70K65 PDF BibTeX XML Cite \textit{C. Caracciolo}, Math. Eng. (Springfield) 4, No. 6, Paper No. 51, 40 p. (2022; Zbl 07575849) Full Text: DOI arXiv OpenURL
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. (English) Zbl 07574509 Math. Comput. 91, No. 337, 2431-2458 (2022). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDF BibTeX XML Cite \textit{A. Hoshi} et al., Math. Comput. 91, No. 337, 2431--2458 (2022; Zbl 07574509) Full Text: DOI arXiv OpenURL
Pnueli, Michal; Rom-Kedar, Vered Near tangent dynamics in a class of Hamiltonian impact systems. (English) Zbl 07570306 SIAM J. Appl. Dyn. Syst. 21, No. 3, 2000-2046 (2022). MSC: 37J40 37C83 70H08 70H09 70K43 PDF BibTeX XML Cite \textit{M. Pnueli} and \textit{V. Rom-Kedar}, SIAM J. Appl. Dyn. Syst. 21, No. 3, 2000--2046 (2022; Zbl 07570306) Full Text: DOI arXiv OpenURL
Gimeno, Joan; Jorba, Àngel; Nicolás, Begoña; Olmedo, Estrella Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori. (English) Zbl 07570301 SIAM J. Appl. Dyn. Syst. 21, No. 3, 1832-1861 (2022). MSC: 37M21 70K43 68W10 PDF BibTeX XML Cite \textit{J. Gimeno} et al., SIAM J. Appl. Dyn. Syst. 21, No. 3, 1832--1861 (2022; Zbl 07570301) Full Text: DOI OpenURL
Hu, Shengqing; Zhang, Jing Almost periodic solutions in forced harmonic oscillators with infinite frequencies. (English) Zbl 07568600 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 105, 28 p. (2022). MSC: 70H12 70H08 34C27 PDF BibTeX XML Cite \textit{S. Hu} and \textit{J. Zhang}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 105, 28 p. (2022; Zbl 07568600) Full Text: DOI OpenURL
Cândido, Murilo R.; Valls, Claudia Zero-Hopf bifurcation in the general Van der Pol-Duffing equation. (English) Zbl 07565384 J. Geom. Phys. 179, Article ID 104609, 18 p. (2022). Reviewer: Alois Steindl (Wien) MSC: 34C05 34C23 34C45 34C29 PDF BibTeX XML Cite \textit{M. R. Cândido} and \textit{C. Valls}, J. Geom. Phys. 179, Article ID 104609, 18 p. (2022; Zbl 07565384) Full Text: DOI arXiv OpenURL
Lou, Zhaowei; Si, Jianguo; Wang, Shimin Invariant tori for the derivative nonlinear Schrödinger equation with nonlinear term depending on spatial variable. (English) Zbl 07562697 Discrete Contin. Dyn. Syst. 42, No. 9, 4555-4595 (2022). MSC: 37K55 37J40 70K43 35Q55 PDF BibTeX XML Cite \textit{Z. Lou} et al., Discrete Contin. Dyn. Syst. 42, No. 9, 4555--4595 (2022; Zbl 07562697) Full Text: DOI OpenURL
Zhao, Xuefeng; Li, Yong A Moser theorem for multiscale mappings. (English) Zbl 07557761 Discrete Contin. Dyn. Syst. 42, No. 8, 3931-3951 (2022). Reviewer: João Lopes Dias (Lisboa) MSC: 37E40 37J40 70H08 70K43 39A12 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{Y. Li}, Discrete Contin. Dyn. Syst. 42, No. 8, 3931--3951 (2022; Zbl 07557761) Full Text: DOI OpenURL
Dankowicz, Harry; Sieber, Jan Sensitivity analysis for periodic orbits and quasiperiodic invariant tori using the adjoint method. (English) Zbl 1501.37082 J. Comput. Dyn. 9, No. 3, 329-369 (2022). MSC: 37M21 37C55 70K43 49K40 PDF BibTeX XML Cite \textit{H. Dankowicz} and \textit{J. Sieber}, J. Comput. Dyn. 9, No. 3, 329--369 (2022; Zbl 1501.37082) Full Text: DOI arXiv OpenURL
Villanueva, Jordi A new averaging-extrapolation method for quasi-periodic frequency refinement. (English) Zbl 07548989 Physica D 438, Article ID 133344, 14 p. (2022). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{J. Villanueva}, Physica D 438, Article ID 133344, 14 p. (2022; Zbl 07548989) Full Text: DOI OpenURL
Denisova, N. V. On the dynamics of systems with two degrees of freedom. (English. Russian original) Zbl 07544356 Dokl. Math. 105, No. 1, 1-5 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 5-10 (2022). MSC: 70Hxx 37Jxx 58Exx PDF BibTeX XML Cite \textit{N. V. Denisova}, Dokl. Math. 105, No. 1, 1--5 (2022; Zbl 07544356); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 5--10 (2022) Full Text: DOI OpenURL
Asselle, Luca; Benedetti, Gabriele Normal forms for strong magnetic systems on surfaces: trapping regions and rigidity of Zoll systems. (English) Zbl 07543346 Ergodic Theory Dyn. Syst. 42, No. 6, 1871-1897 (2022). MSC: 70H12 37C55 70H08 70H11 70H14 58E10 PDF BibTeX XML Cite \textit{L. Asselle} and \textit{G. Benedetti}, Ergodic Theory Dyn. Syst. 42, No. 6, 1871--1897 (2022; Zbl 07543346) Full Text: DOI arXiv OpenURL
Bustamante, Adrián P.; de la Llave, Rafael Gevrey estimates for asymptotic expansions of tori in weakly dissipative systems. (English) Zbl 1501.37060 Nonlinearity 35, No. 5, 2424-2473 (2022). MSC: 37J40 37J11 70K70 70K43 30E10 PDF BibTeX XML Cite \textit{A. P. Bustamante} and \textit{R. de la Llave}, Nonlinearity 35, No. 5, 2424--2473 (2022; Zbl 1501.37060) Full Text: DOI arXiv OpenURL
Lee, Seul Bee; Marmi, Stefano; Schindler, Tanja I. A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation. (English) Zbl 1498.37098 Physica D 435, Article ID 133300, 4 p. (2022). MSC: 37J40 37M21 70K43 70H08 PDF BibTeX XML Cite \textit{S. B. Lee} et al., Physica D 435, Article ID 133300, 4 p. (2022; Zbl 1498.37098) Full Text: DOI arXiv OpenURL
Kallinikos, N.; MacKay, R. S.; Syndercombe, T. Regions without invariant tori of given class for the planar circular restricted three-body problem. (English) Zbl 1496.85002 Physica D 434, Article ID 133216, 11 p. (2022). MSC: 85A15 70F07 70H05 70M20 78A25 80A32 PDF BibTeX XML Cite \textit{N. Kallinikos} et al., Physica D 434, Article ID 133216, 11 p. (2022; Zbl 1496.85002) Full Text: DOI arXiv OpenURL
Elliott, Ian; Bosanac, Natasha Describing relative motion near periodic orbits via local toroidal coordinates. (English) Zbl 1490.70032 Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 19, 33 p. (2022). MSC: 70F07 70K43 PDF BibTeX XML Cite \textit{I. Elliott} and \textit{N. Bosanac}, Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 19, 33 p. (2022; Zbl 1490.70032) Full Text: DOI OpenURL
Chen, Mo Recurrent solutions of the Korteweg-de Vries equation with boundary force. (English) Zbl 1483.35183 Indian J. Pure Appl. Math. 53, No. 1, 112-126 (2022). MSC: 35Q53 35B10 70K43 35B15 PDF BibTeX XML Cite \textit{M. Chen}, Indian J. Pure Appl. Math. 53, No. 1, 112--126 (2022; Zbl 1483.35183) Full Text: DOI OpenURL
Huang, Peng Persistence of invariant tori in infinite-dimensional Hamiltonian systems. (English) Zbl 1496.37076 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 50, 21 p. (2022). MSC: 37K55 70H08 PDF BibTeX XML Cite \textit{P. Huang}, Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 50, 21 p. (2022; Zbl 1496.37076) Full Text: DOI OpenURL
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. (English) Zbl 1486.70053 Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 3, 38 p. (2022). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70K43 70F15 PDF BibTeX XML Cite \textit{B. Kumar} et al., Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 3, 38 p. (2022; Zbl 1486.70053) Full Text: DOI arXiv 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: 70F15 70K43 70H08 70-06 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
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael KAM quasi-periodic solutions for the dissipative standard map. (English) Zbl 1494.37043 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022). MSC: 37J40 34C25 34D35 37M15 70K43 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022; Zbl 1494.37043) Full Text: DOI OpenURL
Zhang, Xin Li; Piao, Da Xiong Invariant tori of sublinear asymmetric Duffing equations. (Chinese. English summary) Zbl 07599678 Acta Math. Sin., Chin. Ser. 64, No. 6, 967-978 (2021). MSC: 34C11 34C25 37E40 PDF BibTeX XML Cite \textit{X. L. Zhang} and \textit{D. X. Piao}, Acta Math. Sin., Chin. Ser. 64, No. 6, 967--978 (2021; Zbl 07599678) Full Text: Link OpenURL
Penati, Tiziano; Danesi, Veronica; Paleari, Simone Low dimensional completely resonant tori in Hamiltonian lattices and a theorem of Poincaré. (English) Zbl 07575669 Math. Eng. (Springfield) 3, No. 4, Paper No. 29, 20 p. (2021). MSC: 37J40 37K55 37K60 70H08 70K43 70K60 70K65 PDF BibTeX XML Cite \textit{T. Penati} et al., Math. Eng. (Springfield) 3, No. 4, Paper No. 29, 20 p. (2021; Zbl 07575669) Full Text: DOI OpenURL
Bambusi, Dario; Langella, Beatrice A \(C^\infty\) Nekhoroshev theorem. (English) Zbl 07575659 Math. Eng. (Springfield) 3, No. 2, Paper No. 19, 17 p. (2021). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{D. Bambusi} and \textit{B. Langella}, Math. Eng. (Springfield) 3, No. 2, Paper No. 19, 17 p. (2021; Zbl 07575659) Full Text: DOI arXiv OpenURL
Shen, Yunzhu; Zhang, Yongxiang; Xu, Huidong Strange nonchaotic attractors in a quasiperiodically forced articulated mooring tower model. (English) Zbl 1498.37060 Fractals 29, No. 8, Article ID 2150265, 14 p. (2021). MSC: 37D45 70K43 28A80 PDF BibTeX XML Cite \textit{Y. Shen} et al., Fractals 29, No. 8, Article ID 2150265, 14 p. (2021; Zbl 1498.37060) Full Text: DOI OpenURL
Meiss, J. D.; Sander, E. Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. (English) Zbl 1491.37076 Physica D 428, Article ID 133048, 20 p. (2021). MSC: 37M25 37M21 37A30 37A05 37J40 PDF BibTeX XML Cite \textit{J. D. Meiss} and \textit{E. Sander}, Physica D 428, Article ID 133048, 20 p. (2021; Zbl 1491.37076) Full Text: DOI arXiv OpenURL
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem. (English) Zbl 1482.70010 Celest. Mech. Dyn. Astron. 133, No. 11-12, Paper No. 55, 20 p. (2021). MSC: 70F07 70F10 70H33 PDF BibTeX XML Cite \textit{J. J. Rosales} et al., Celest. Mech. Dyn. Astron. 133, No. 11--12, Paper No. 55, 20 p. (2021; Zbl 1482.70010) Full Text: DOI OpenURL
Du, Jianxing; Su, Xifeng On the existence of solutions for the Frenkel-Kontorova models on quasi-crystals. (English) Zbl 1479.82013 Electron Res. Arch. 29, No. 6, 4177-4198 (2021). MSC: 82B20 70K43 52C23 37A60 82D25 PDF BibTeX XML Cite \textit{J. Du} and \textit{X. Su}, Electron Res. Arch. 29, No. 6, 4177--4198 (2021; Zbl 1479.82013) Full Text: DOI arXiv 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
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Periodic solutions to a perturbed relativistic Kepler problem. (English) Zbl 1489.34064 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 1489.34064) 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 1484.37070 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 1484.37070) Full Text: DOI OpenURL
Novokshenov, V. Yu. Parametric resonance in integrable systems and averaging on Riemann surfaces. (English. Russian original) Zbl 1481.37060 J. Math. Sci., New York 258, No. 1, 65-80 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65-80 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J38 14H70 70K28 70K43 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, J. Math. Sci., New York 258, No. 1, 65--80 (2021; Zbl 1481.37060); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 65--80 (2019) Full Text: DOI OpenURL
Bazhenov, Victor; Pogorelova, Olga; Postnikova, Tatiana Quasiperiodic route to transient chaos in vibroimpact system. (English) Zbl 1493.70081 Volchenkov, Dimitri (ed.), Nonlinear dynamics, chaos, and complexity. In memory of Professor Valentin Afraimovich. Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 21-46 (2021). MSC: 70K43 70K55 37D25 37D45 PDF BibTeX XML Cite \textit{V. Bazhenov} et al., in: Nonlinear dynamics, chaos, and complexity. In memory of Professor Valentin Afraimovich. Beijing: Higher Education Press; Singapore: Springer. 21--46 (2021; Zbl 1493.70081) Full Text: DOI OpenURL
Trujillo, Frank Uniqueness properties of the KAM curve. (English) Zbl 1487.37053 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 1487.37053) Full Text: DOI arXiv 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
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
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 1483.37080 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 1483.37080) Full Text: DOI 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
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 Link 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
Alvarez-Ramírez, Martha; García, Antonio; Vidarte, Jhon Armbruster-Guckenheimer-Kim Hamiltonian system in 1:1 resonance. (English) Zbl 1468.70013 Russ. J. Nonlinear Dyn. 17, No. 1, 59-76 (2021). MSC: 70H33 70K28 70F15 PDF BibTeX XML Cite \textit{M. Alvarez-Ramírez} et al., Russ. J. Nonlinear Dyn. 17, No. 1, 59--76 (2021; Zbl 1468.70013) Full Text: DOI MNR 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
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem. (English) Zbl 1472.70032 Celest. Mech. Dyn. Astron. 133, No. 4, Paper No. 16, 30 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F10 70F15 70K43 70K42 70M20 70K60 70H09 70H12 PDF BibTeX XML Cite \textit{J. J. Rosales} et al., Celest. Mech. Dyn. Astron. 133, No. 4, Paper No. 16, 30 p. (2021; Zbl 1472.70032) Full Text: DOI OpenURL
Chen, Mo Recurrent solutions of the Schrödinger-KdV system with boundary forces. (English) Zbl 1467.35277 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5149-5170 (2021). MSC: 35Q53 35Q55 70K43 35B10 35B15 PDF BibTeX XML Cite \textit{M. Chen}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5149--5170 (2021; Zbl 1467.35277) Full Text: DOI OpenURL
Fedorov, Yuri; Jovanović, Božidar Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems. (English) Zbl 1469.70010 Discrete Contin. Dyn. Syst. 41, No. 6, 2559-2599 (2021). MSC: 70H06 37J35 14H70 17B80 37K10 70H33 70H45 PDF BibTeX XML Cite \textit{Y. Fedorov} and \textit{B. Jovanović}, Discrete Contin. Dyn. Syst. 41, No. 6, 2559--2599 (2021; Zbl 1469.70010) Full Text: DOI arXiv 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
Kostromina, Ol’ga Sergeevna On two-frequency quasi-periodic perturbations of systems close to two-dimensional Hamiltonian ones with a double limit cycle. (English) Zbl 1479.70059 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 1, 35-49 (2021). MSC: 70K43 70H09 70K65 PDF BibTeX XML Cite \textit{O. S. Kostromina}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 1, 35--49 (2021; Zbl 1479.70059) Full Text: DOI arXiv MNR OpenURL
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela Almost periodic invariant tori for the NLS on the circle. (English) Zbl 1462.35024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 711-758 (2021). MSC: 35B15 35Q55 37K55 PDF BibTeX XML Cite \textit{L. Biasco} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 711--758 (2021; Zbl 1462.35024) 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
Huang, Wentao; Cao, Chengcheng; He, Dongping Quasi-periodic motion and Hopf bifurcation of a two-dimensional aeroelastic airfoil system in supersonic flow. (English) Zbl 1462.37091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150018, 35 p. (2021). MSC: 37M20 37M05 37G05 65L06 65P30 65P20 70K43 PDF BibTeX XML Cite \textit{W. Huang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 2, Article ID 2150018, 35 p. (2021; Zbl 1462.37091) Full Text: DOI 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
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
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
Rui, Jie; Zhang, Min; Wang, Yi Kolmogorov-Arnold-Moser theorem for nonlinear beam equations with almost-periodic forcing. (English) Zbl 1451.35094 J. Math. Anal. Appl. 493, No. 2, Article ID 124529, 27 p. (2021). MSC: 35L76 35L30 35B15 37K55 74K10 PDF BibTeX XML Cite \textit{J. Rui} et al., J. Math. Anal. Appl. 493, No. 2, Article ID 124529, 27 p. (2021; Zbl 1451.35094) Full Text: DOI 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
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael Whiskered KAM tori of conformally symplectic systems. (English) Zbl 07544435 Math. Res. Rep. (Amst.) 1, 15-29 (2020). MSC: 70K43 70K20 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Math. Res. Rep. (Amst.) 1, 15--29 (2020; Zbl 07544435) Full Text: DOI arXiv OpenURL
Rui, Jie; Wang, Yi Invariant tori of full dimension for higher-dimensional beam equations with almost-periodic forcing. (English) Zbl 1496.37077 Bound. Value Probl. 2020, Paper No. 77, 27 p. (2020). MSC: 37K55 70K43 PDF BibTeX XML Cite \textit{J. Rui} and \textit{Y. Wang}, Bound. Value Probl. 2020, Paper No. 77, 27 p. (2020; Zbl 1496.37077) Full Text: DOI OpenURL
Xu, Junxiang; You, Jiangong Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. (English) Zbl 1481.37067 Regul. Chaotic Dyn. 25, No. 6, 616-650 (2020). MSC: 37J40 37J25 70H08 70K43 PDF BibTeX XML Cite \textit{J. Xu} and \textit{J. You}, Regul. Chaotic Dyn. 25, No. 6, 616--650 (2020; Zbl 1481.37067) Full Text: DOI OpenURL
Niu, Yanmin; Li, Xiong Dynamical behaviors for generalized pendulum type equations with \(p\)-Laplacian. (English) Zbl 1475.37098 Front. Math. China 15, No. 5, 959-984 (2020). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37N05 37C55 37J40 37C75 70K43 PDF BibTeX XML Cite \textit{Y. Niu} and \textit{X. Li}, Front. Math. China 15, No. 5, 959--984 (2020; Zbl 1475.37098) Full Text: DOI OpenURL
Cang, Shijian; Li, Yue; Xue, Wei; Wang, Zenghui; Chen, Zengqiang Conservative chaos and invariant tori in the modified Sprott a system. (English) Zbl 1459.34109 Nonlinear Dyn. 99, No. 2, 1699-1708 (2020). MSC: 34C28 37D45 PDF BibTeX XML Cite \textit{S. Cang} et al., Nonlinear Dyn. 99, No. 2, 1699--1708 (2020; Zbl 1459.34109) Full Text: DOI OpenURL
Xu, Xiaodan; Si, Wen; Si, Jianguo Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. (English) Zbl 1470.70026 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286-2321 (2020). MSC: 70K43 70H08 52C23 37A60 37J40 PDF BibTeX XML Cite \textit{X. Xu} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2286--2321 (2020; Zbl 1470.70026) Full Text: DOI OpenURL
Bauer, Sean; Petrov, Nikola P. Existence of KAM tori for presymplectic vector fields. (English) Zbl 1461.37064 Electron. J. Differ. Equ. 2020, Paper No. 126, 26 p. (2020). Reviewer: Jing Wang (Nanjing) MSC: 37J40 37K55 37J39 70K43 53D05 PDF BibTeX XML Cite \textit{S. Bauer} and \textit{N. P. Petrov}, Electron. J. Differ. Equ. 2020, Paper No. 126, 26 p. (2020; Zbl 1461.37064) Full Text: Link OpenURL
Butler, Leo T. Invariant tori for a class of singly thermostated Hamiltonians. (English) Zbl 1477.70033 J. Math. Phys. 61, No. 8, 082702, 20 p. (2020). MSC: 70H33 70H08 28D05 PDF BibTeX XML Cite \textit{L. T. Butler}, J. Math. Phys. 61, No. 8, 082702, 20 p. (2020; Zbl 1477.70033) Full Text: DOI arXiv OpenURL
Si, Wen; Yi, Yingfei Completely degenerate responsive tori in Hamiltonian systems. (English) Zbl 1455.37048 Nonlinearity 33, No. 11, 6072-6098 (2020). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Si} and \textit{Y. Yi}, Nonlinearity 33, No. 11, 6072--6098 (2020; Zbl 1455.37048) Full Text: DOI OpenURL
Capiński, Maciej J.; Fleurantin, Emmanuel; Mireles James, J. D. Computer assisted proofs of two-dimensional attracting invariant tori for ODEs. (English) Zbl 1459.37079 Discrete Contin. Dyn. Syst. 40, No. 12, 6681-6707 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M22 37M21 37M20 37C10 34C45 37G35 65P20 65G20 68V05 PDF BibTeX XML Cite \textit{M. J. Capiński} et al., Discrete Contin. Dyn. Syst. 40, No. 12, 6681--6707 (2020; Zbl 1459.37079) Full Text: DOI arXiv OpenURL
Biasco, Luca; Chierchia, Luigi On the measure of KAM tori in two degrees of freedom. (English) Zbl 1456.37064 Discrete Contin. Dyn. Syst. 40, No. 12, 6635-6648 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J39 37J35 70H08 70K43 PDF BibTeX XML Cite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 40, No. 12, 6635--6648 (2020; Zbl 1456.37064) Full Text: DOI arXiv OpenURL
Jamshidpey, Armin; Lemire, Nicole; Schost, Éric Algebraic construction of quasi-split algebraic tori. (English) Zbl 1454.13009 J. Algebra Appl. 19, No. 11, Article ID 2050206, 12 p. (2020). MSC: 13A50 14L15 20C10 13P10 68W30 PDF BibTeX XML Cite \textit{A. Jamshidpey} et al., J. Algebra Appl. 19, No. 11, Article ID 2050206, 12 p. (2020; Zbl 1454.13009) Full Text: DOI arXiv OpenURL
Qian, Weichao; Li, Yong; Yang, Xue Melnikov’s conditions in matrices. (English) Zbl 1454.37058 J. Dyn. Differ. Equations 32, No. 4, 1779-1795 (2020). MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Dyn. Differ. Equations 32, No. 4, 1779--1795 (2020; Zbl 1454.37058) Full Text: DOI OpenURL
Bounemoura, Abed Positive measure of KAM tori for finitely differentiable Hamiltonians. (Mesure positive de tores invariants pour les systèmes hamiltoniens en différentiabilité finie.) (English. French summary) Zbl 1473.37074 J. Éc. Polytech., Math. 7, 1113-1132 (2020). MSC: 37J40 37C55 70K43 PDF BibTeX XML Cite \textit{A. Bounemoura}, J. Éc. Polytech., Math. 7, 1113--1132 (2020; Zbl 1473.37074) Full Text: DOI arXiv OpenURL
Sansottera, Marco; Danesi, V.; Penati, T.; Paleari, S. On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori. (English) Zbl 1453.37059 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020). MSC: 37J40 37K55 70H08 70K43 PDF BibTeX XML Cite \textit{M. Sansottera} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105360, 22 p. (2020; Zbl 1453.37059) Full Text: DOI arXiv OpenURL
Fleurantin, Emmanuel; James, J. D. Mireles Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. (English) Zbl 1453.34020 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105226, 28 p. (2020). MSC: 34A34 34C45 37M20 37M21 34C23 34C28 PDF BibTeX XML Cite \textit{E. Fleurantin} and \textit{J. D. M. James}, Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105226, 28 p. (2020; Zbl 1453.34020) Full Text: DOI arXiv OpenURL
Wang, Yi; Rui, Jie Quasi-periodic solutions of wave equations with the nonlinear term depending on the time and space variables. (English) Zbl 1461.70024 Taiwanese J. Math. 24, No. 3, 629-661 (2020). Reviewer: Vladimir Sobolev (Samara) MSC: 70K43 70K45 70K40 37K55 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{J. Rui}, Taiwanese J. Math. 24, No. 3, 629--661 (2020; Zbl 1461.70024) Full Text: DOI Euclid OpenURL
Fonda, Alessandro; Klun, Giuliano; Sfecci, Andrea Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori. (English) Zbl 1451.37092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 111720, 16 p. (2020). MSC: 37K55 37K50 70K43 PDF BibTeX XML Cite \textit{A. Fonda} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 201, Article ID 111720, 16 p. (2020; Zbl 1451.37092) Full Text: DOI OpenURL
Burov, Alexander A.; Nikonov, Vasily I. On the motion of the pendulum in an alternating, sawtooth force field. (English) Zbl 1460.70022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050135, 10 p. (2020). MSC: 70K42 34C60 PDF BibTeX XML Cite \textit{A. A. Burov} and \textit{V. I. Nikonov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 9, Article ID 2050135, 10 p. (2020; Zbl 1460.70022) Full Text: DOI OpenURL
Enciso, Alberto; Luque, Alejandro; Peralta-Salas, Daniel Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori. (English) Zbl 07243327 Adv. Math. 373, Article ID 107328, 46 p. (2020). MSC: 37J40 37J39 37K55 PDF BibTeX XML Cite \textit{A. Enciso} et al., Adv. Math. 373, Article ID 107328, 46 p. (2020; Zbl 07243327) Full Text: DOI arXiv OpenURL
Fayad, B.; Sauzin, D. KAM tori are no more than sticky. (English) Zbl 1447.37060 Arch. Ration. Mech. Anal. 237, No. 3, 1177-1211 (2020). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{D. Sauzin}, Arch. Ration. Mech. Anal. 237, No. 3, 1177--1211 (2020; Zbl 1447.37060) Full Text: DOI arXiv OpenURL
Kaloshin, Vadim; Zhang, Ke Arnold diffusion for smooth systems of two and a half degrees of freedom. (English) Zbl 1466.37001 Annals of Mathematics Studies 208. Princeton, NJ: Princeton University Press (ISBN 978-0-691-20253-2/hbk; 978-0-691-20252-5/pbk; 978-0-691-20493-2/ebook). xiii, 204 p. (2020). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37-02 37J40 37J35 37J30 37A25 37A30 70K43 70H08 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{K. Zhang}, Arnold diffusion for smooth systems of two and a half degrees of freedom. Princeton, NJ: Princeton University Press (2020; Zbl 1466.37001) Full Text: DOI OpenURL
Kang, Ming-chang; Zhou, Jian Noether’s problem for some semidirect products. (English) Zbl 1452.14012 Adv. Math. 368, Article ID 107164, 20 p. (2020). MSC: 14E08 12F10 13A50 11R29 PDF BibTeX XML Cite \textit{M.-c. Kang} and \textit{J. Zhou}, Adv. Math. 368, Article ID 107164, 20 p. (2020; Zbl 1452.14012) Full Text: DOI arXiv OpenURL
Bäcker, Arnd; Meiss, James D. Elliptic bubbles in Moser’s 4D quadratic map: the quadfurcation. (English) Zbl 1444.37046 SIAM J. Appl. Dyn. Syst. 19, No. 1, 442-479 (2020). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J11 37J20 37J25 37J40 70K43 PDF BibTeX XML Cite \textit{A. Bäcker} and \textit{J. D. Meiss}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 442--479 (2020; Zbl 1444.37046) Full Text: DOI arXiv OpenURL
Hu, Shengqing Persistence of invariant tori for almost periodically forced reversible systems. (English) Zbl 1441.37065 Discrete Contin. Dyn. Syst. 40, No. 7, 4497-4518 (2020). MSC: 37J40 70K43 70H08 70H12 34C11 PDF BibTeX XML Cite \textit{S. Hu}, Discrete Contin. Dyn. Syst. 40, No. 7, 4497--4518 (2020; Zbl 1441.37065) Full Text: DOI OpenURL
Hoshi, Akinari; Kitayama, Hidetaka Three-dimensional purely quasimonomial actions. (English) Zbl 1453.12006 Kyoto J. Math. 60, No. 1, 335-377 (2020). Reviewer: Ming-Chang Kang (Taipei) MSC: 12F20 13A50 14E08 PDF BibTeX XML Cite \textit{A. Hoshi} and \textit{H. Kitayama}, Kyoto J. Math. 60, No. 1, 335--377 (2020; Zbl 1453.12006) Full Text: DOI arXiv Euclid OpenURL
Galkowski, Jeffrey; Toth, John A. Pointwise bounds for joint eigenfunctions of quantum completely integrable systems. (English) Zbl 1441.81101 Commun. Math. Phys. 375, No. 2, 915-947 (2020). MSC: 81Q35 81Q80 35S05 35P15 35P05 70K43 58J60 PDF BibTeX XML Cite \textit{J. Galkowski} and \textit{J. A. Toth}, Commun. Math. Phys. 375, No. 2, 915--947 (2020; Zbl 1441.81101) Full Text: DOI arXiv OpenURL
Wang, Fenfen; Cheng, Hongyu; Si, Jianguo Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency. (English) Zbl 1437.35017 J. Nonlinear Sci. 30, No. 2, 657-710 (2020). MSC: 35B15 35B20 37K55 70K43 PDF BibTeX XML Cite \textit{F. Wang} et al., J. Nonlinear Sci. 30, No. 2, 657--710 (2020; Zbl 1437.35017) Full Text: DOI OpenURL
Ryan, Pierce; Keane, Andrew; Amann, Andreas Border-collision bifurcations in a driven time-delay system. (English) Zbl 1434.37035 Chaos 30, No. 2, 023121, 12 p. (2020). MSC: 37J20 70K40 70K50 70K43 PDF BibTeX XML Cite \textit{P. Ryan} et al., Chaos 30, No. 2, 023121, 12 p. (2020; Zbl 1434.37035) Full Text: DOI arXiv OpenURL