Jing, Tianqi; Si, Wen Completely degenerate lower-dimensional invariant tori in reversible systems. (English) Zbl 07388652 Proc. Am. Math. Soc. 149, No. 10, 4247-4260 (2021). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{T. Jing} and \textit{W. Si}, Proc. Am. Math. Soc. 149, No. 10, 4247--4260 (2021; Zbl 07388652) Full Text: DOI OpenURL
Montes, J.; Revuelta, F.; Borondo, F. Lagrangian descriptors and regular motion. (English) Zbl 07382096 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105860, 10 p. (2021). MSC: 37Dxx 34Cxx 01Axx PDF BibTeX XML Cite \textit{J. Montes} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105860, 10 p. (2021; Zbl 07382096) 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 07374783 J. Dyn. Control Syst. 27, No. 3, 491-506 (2021). MSC: 37G15 34C25 34C37 PDF BibTeX XML Cite \textit{J. Llibre} et al., J. Dyn. Control Syst. 27, No. 3, 491--506 (2021; Zbl 07374783) Full Text: DOI OpenURL
Haro, Alex; Mondelo, J. M. Flow map parameterization methods for invariant tori in Hamiltonian systems. (English) Zbl 07370442 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105859, 34 p. (2021). MSC: 37Jxx 37Dxx 37Mxx 70Fxx 70Kxx 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 07370442) Full Text: DOI OpenURL
Alvarez-Ramírez, Martha; García, Antonio; Vidarte, Jhon Armbruster-Guckenheimer-Kim Hamiltonian system in 1:1 resonance. (English) Zbl 07367070 Nelineĭn. Din. 17, No. 1, 59-76 (2021). MSC: 70H33 70K28 70F15 PDF BibTeX XML Cite \textit{M. Alvarez-Ramírez} et al., Nelineĭn. Din. 17, No. 1, 59--76 (2021; Zbl 07367070) Full Text: DOI MNR OpenURL
Zhu, Jun; Li, Ze Periodic variation solutions and tori like solutions for stochastic Hamiltonian systems. (English) Zbl 07366771 Math. Appl. 34, No. 2, 477-488 (2021). MSC: 37H10 60H10 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{Z. Li}, Math. Appl. 34, No. 2, 477--488 (2021; Zbl 07366771) 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 07361318 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 07361318) 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 07356249 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 07356249) Full Text: DOI OpenURL
Shi, Hua; Zhang, Xiang; Zhang, Yuyan Complex planar Hamiltonian systems: linearization and dynamics. (English) Zbl 07356238 Discrete Contin. Dyn. Syst. 41, No. 7, 3295-3317 (2021). 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 07356238) Full Text: DOI 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 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 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 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 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 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 OpenURL
Borovin, G. K.; Grushevskii, A. V.; Tuchin, A. G.; Tuchin, D. A. Modern mission design with the high inclined orbit formation using gravity assists: main methods. (English) Zbl 07388460 Math. Montisnigri 49, 87-95 (2020). MSC: 37N05 68Q05 70F07 70K70 70K43 PDF BibTeX XML Cite \textit{G. K. Borovin} et al., Math. Montisnigri 49, 87--95 (2020; Zbl 07388460) Full Text: DOI OpenURL
Niu, Yanmin; Li, Xiong Dynamical behaviors for generalized pendulum type equations with \(p\)-Laplacian. (English) Zbl 07350721 Front. Math. China 15, No. 5, 959-984 (2020). MSC: 37N05 37C55 37J40 37C75 37B10 70K43 PDF BibTeX XML Cite \textit{Y. Niu} and \textit{X. Li}, Front. Math. China 15, No. 5, 959--984 (2020; Zbl 07350721) 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 07335782 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 07335782) 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
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 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 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 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 07268823 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 07268823) Full Text: DOI 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 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 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 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 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 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 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 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 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 OpenURL
Akhmet, Marat Almost periodicity, chaos, and asymptotic equivalence (to appear). (English) Zbl 07181625 Nonlinear Systems and Complexity 27. Cham: Springer (ISBN 978-3-030-19916-6/hbk; 978-3-030-20572-0/ebook). xvii, 360 p. (2020). MSC: 34-02 34C27 37D45 70K43 70K55 PDF BibTeX XML Cite \textit{M. Akhmet}, Almost periodicity, chaos, and asymptotic equivalence (to appear). Cham: Springer (2020; Zbl 07181625) Full Text: DOI OpenURL
Yang, Lianpeng; Li, Xiong Existence of periodically invariant tori on resonant surfaces for twist mappings. (English) Zbl 1432.37071 Discrete Contin. Dyn. Syst. 40, No. 3, 1389-1409 (2020). MSC: 37E40 37J40 PDF BibTeX XML Cite \textit{L. Yang} and \textit{X. Li}, Discrete Contin. Dyn. Syst. 40, No. 3, 1389--1409 (2020; Zbl 1432.37071) Full Text: DOI OpenURL
Qian, Weichao; Li, Yong; Yang, Xue Persistence of Lagrange invariant tori at tangent degeneracy. (English) Zbl 1437.37073 J. Differ. Equations 268, No. 9, 5078-5112 (2020). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Differ. Equations 268, No. 9, 5078--5112 (2020; Zbl 1437.37073) Full Text: DOI OpenURL
Sharma, Ashu; Sinha, S. C. Control of nonlinear systems exhibiting chaos to desired periodic or quasi-periodic motions. (English) Zbl 1430.37127 Nonlinear Dyn. 99, No. 1, 559-574 (2020). MSC: 37N40 34H10 70K43 PDF BibTeX XML Cite \textit{A. Sharma} and \textit{S. C. Sinha}, Nonlinear Dyn. 99, No. 1, 559--574 (2020; Zbl 1430.37127) Full Text: DOI OpenURL
Hasegawa, Sumito; Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori in small dimensions. (English) Zbl 1456.11043 Math. Comput. 89, No. 322, 923-940 (2020). MSC: 11E72 20C10 20G15 13A50 14E08 PDF BibTeX XML Cite \textit{S. Hasegawa} et al., Math. Comput. 89, No. 322, 923--940 (2020; Zbl 1456.11043) Full Text: DOI arXiv OpenURL
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael Existence of whiskered KAM tori of conformally symplectic systems. (English) Zbl 07141430 Nonlinearity 33, No. 1, 538-597 (2020). MSC: 70K43 37J40 70K20 34D35 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Nonlinearity 33, No. 1, 538--597 (2020; Zbl 07141430) Full Text: DOI OpenURL
Ghouli, Zakaria; Hamdi, Mustapha; Belhaq, Mohamed The delayed van der Pol oscillator and energy harvesting. (English) Zbl 1452.70020 Belhaq, Mohamed (ed.), Topics in nonlinear mechanics and physics. Selected papers from CSNDD 2018, the 4th international conference on structural nonlinear dynamics and diagnosis, Tangier, Morocco, June 25–27, 2018. Singapore: Springer. Springer Proc. Phys. 228, 89-109 (2019). MSC: 70K40 70K50 70K43 74F15 PDF BibTeX XML Cite \textit{Z. Ghouli} et al., Springer Proc. Phys. 228, 89--109 (2019; Zbl 1452.70020) Full Text: DOI OpenURL
Berenguel, Rubén; Fontich, Ernest Invariant objects on lattice systems with decaying interactions. (English) Zbl 1446.37032 Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 137-143 (2019). MSC: 37C79 37L60 37K60 PDF BibTeX XML Cite \textit{R. Berenguel} and \textit{E. Fontich}, Trends Math., Res. Perspect. CRM Barc. 11, 137--143 (2019; Zbl 1446.37032) Full Text: DOI OpenURL
Zhang, Dongfeng; Xu, Xindong On the linearization of vector fields on a torus with prescribed frequency. (English) Zbl 1455.37049 Topol. Methods Nonlinear Anal. 54, No. 2A, 649-663 (2019). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 37J40 34C27 70H08 70K43 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{X. Xu}, Topol. Methods Nonlinear Anal. 54, No. 2A, 649--663 (2019; Zbl 1455.37049) Full Text: DOI Euclid OpenURL
Das, Suddhasattwa; Saiki, Yoshitaka; Sander, Evelyn; Yorke, James A. Solving the Babylonian problem of quasiperiodic rotation rates. (English) Zbl 1441.37094 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2279-2305 (2019). MSC: 37N05 37A30 37C55 70F07 70H12 70K43 PDF BibTeX XML Cite \textit{S. Das} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2279--2305 (2019; Zbl 1441.37094) Full Text: DOI OpenURL
Fradkov, Alexander L.; Usik, Egor V.; Andrievsky, Boris Simple energy control in Frenkel-Kontorova model. (English) Zbl 1429.70015 Altenbach, Holm (ed.) et al., Dynamical processes in generalized continua and structures. Dedicated to Dmitry Anatol’evich Indeitsev on the occasion to his 70th birthday. Cham: Springer. Adv. Struct. Mater. 103, 209-222 (2019). MSC: 70K43 37K60 70Q05 PDF BibTeX XML Cite \textit{A. L. Fradkov} et al., Adv. Struct. Mater. 103, 209--222 (2019; Zbl 1429.70015) Full Text: DOI OpenURL
Wang, Yi Quasi-periodic solutions for a completely resonant beam equation with a nonlinear term depending on the time and space variables. (English) Zbl 1427.37057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111585, 22 p. (2019). MSC: 37K55 70K43 70K45 70K40 PDF BibTeX XML Cite \textit{Y. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111585, 22 p. (2019; Zbl 1427.37057) Full Text: DOI OpenURL
Mondelo, Josep-Maria Computing invariant manifolds for libration point missions. (English) Zbl 1428.70023 Baù, Giulio (ed.) et al., Satellite dynamics and space missions. Collected papers of the summer school “Satellite dynamics and space missions: theory and applications of celestial mechanics”, San Martino al Cimino, Viterbo, Italy, August 28 – September 2, 2017. Cham: Springer. Springer INdAM Ser. 34, 159-223 (2019). MSC: 70F10 37M99 34C45 70H33 PDF BibTeX XML Cite \textit{J.-M. Mondelo}, Springer INdAM Ser. 34, 159--223 (2019; Zbl 1428.70023) Full Text: DOI OpenURL
Gentile, Guido; Mazzoccoli, Alessandro; Vaia, Faenia Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension. (English) Zbl 1439.70029 Commun. Contemp. Math. 21, No. 7, Article ID 1850064, 22 p. (2019). MSC: 70K40 70K43 34C46 34D10 37C55 PDF BibTeX XML Cite \textit{G. Gentile} et al., Commun. Contemp. Math. 21, No. 7, Article ID 1850064, 22 p. (2019; Zbl 1439.70029) Full Text: DOI arXiv OpenURL
Hu, Sheng Qing Existence of invariant tori in reversible mappings. (English) Zbl 1419.37060 Acta Math. Sin., Engl. Ser. 35, No. 9, 1419-1452 (2019). MSC: 37J40 37C05 70K43 PDF BibTeX XML Cite \textit{S. Q. Hu}, Acta Math. Sin., Engl. Ser. 35, No. 9, 1419--1452 (2019; Zbl 1419.37060) Full Text: DOI OpenURL
Palacián, J. F.; Vidal, C.; Vidarte, J.; Yanguas, P. Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential. (English) Zbl 1435.37088 Nonlinearity 32, No. 9, 3406-3444 (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 37J46 37J20 34C15 70K65 34C23 70K28 70K30 70K43 PDF BibTeX XML Cite \textit{J. F. Palacián} et al., Nonlinearity 32, No. 9, 3406--3444 (2019; Zbl 1435.37088) Full Text: DOI OpenURL
Prokopenya, Alexander N. Modelling Atwood’s machine with three degrees of freedom. (English) Zbl 1459.70043 Math. Comput. Sci. 13, No. 1-2, 247-257 (2019). MSC: 70K43 34A34 34C60 PDF BibTeX XML Cite \textit{A. N. Prokopenya}, Math. Comput. Sci. 13, No. 1--2, 247--257 (2019; Zbl 1459.70043) Full Text: DOI OpenURL
Das, Suddhasattwa; Giannakis, Dimitrios Delay-coordinate maps and the spectra of Koopman operators. (English) Zbl 1459.37023 J. Stat. Phys. 175, No. 6, 1107-1145 (2019). MSC: 37C30 70K43 PDF BibTeX XML Cite \textit{S. Das} and \textit{D. Giannakis}, J. Stat. Phys. 175, No. 6, 1107--1145 (2019; Zbl 1459.37023) Full Text: DOI arXiv OpenURL
Schließauf, Henrik Escaping orbits are rare in the quasi-periodic Littlewood boundedness problem. (English) Zbl 1427.37050 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 24, 21 p. (2019). Reviewer: Piotr Garbaczewski (Opole) MSC: 37J46 37J40 70K43 70K40 PDF BibTeX XML Cite \textit{H. Schließauf}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 24, 21 p. (2019; Zbl 1427.37050) Full Text: DOI OpenURL
Lu, Lin; Liu, Shujuan; Wu, Jun Existence of quasi-periodic invariant tori for coupled van der Pol equations. (English) Zbl 1421.34029 Electron. J. Differ. Equ. 2019, Paper No. 88, 22 p. (2019). MSC: 34C45 34C15 70K43 34C40 34C29 34C20 37J40 PDF BibTeX XML Cite \textit{L. Lu} et al., Electron. J. Differ. Equ. 2019, Paper No. 88, 22 p. (2019; Zbl 1421.34029) Full Text: Link OpenURL
Ryabov, P. E. Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052 Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019). MSC: 37J20 37J35 37J40 70E40 70K43 PDF BibTeX XML Cite \textit{P. E. Ryabov}, Dokl. Math. 99, No. 2, 225--229 (2019; Zbl 1416.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670--675 (2019) Full Text: DOI OpenURL
Massetti, Jessica Elisa Normal forms for perturbations of systems possessing a Diophantine invariant torus. (English) Zbl 1443.37048 Ergodic Theory Dyn. Syst. 39, No. 8, 2176-2222 (2019). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70H08 37N05 PDF BibTeX XML Cite \textit{J. E. Massetti}, Ergodic Theory Dyn. Syst. 39, No. 8, 2176--2222 (2019; Zbl 1443.37048) Full Text: DOI arXiv OpenURL
Fassò, Francesco; García-Naranjo, Luis C.; Montaldi, James Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top. (English) Zbl 1418.37107 J. Nonlinear Sci. 29, No. 3, 1205-1246 (2019). MSC: 37J60 70E17 70E40 70E45 70F25 70K43 PDF BibTeX XML Cite \textit{F. Fassò} et al., J. Nonlinear Sci. 29, No. 3, 1205--1246 (2019; Zbl 1418.37107) Full Text: DOI OpenURL
Corsi, Livia; Feola, Roberto; Procesi, Michela Finite dimensional invariant KAM tori for tame vector fields. (English) Zbl 1420.37108 Trans. Am. Math. Soc. 372, No. 3, 1913-1983 (2019). MSC: 37K55 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{L. Corsi} et al., Trans. Am. Math. Soc. 372, No. 3, 1913--1983 (2019; Zbl 1420.37108) Full Text: DOI arXiv OpenURL
Li, Xuemei; Shang, Zaijiu On the existence of invariant tori in non-conservative dynamical systems with degeneracy and finite differentiability. (English) Zbl 1418.37100 Discrete Contin. Dyn. Syst. 39, No. 7, 4225-4257 (2019). Reviewer: Stefano Marò (Pisa) MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Shang}, Discrete Contin. Dyn. Syst. 39, No. 7, 4225--4257 (2019; Zbl 1418.37100) Full Text: DOI OpenURL
Cors, Josep M.; Palacián, Jesús F.; Yanguas, Patricia On co-orbital quasi-periodic motion in the three-body problem. (English) Zbl 1448.70016 SIAM J. Appl. Dyn. Syst. 18, No. 1, 334-353 (2019). MSC: 70F07 37J40 37N05 70F15 70K65 PDF BibTeX XML Cite \textit{J. M. Cors} et al., SIAM J. Appl. Dyn. Syst. 18, No. 1, 334--353 (2019; Zbl 1448.70016) Full Text: DOI OpenURL
Geng, Jiansheng; Xue, Shuaishuai Invariant tori for two-dimensional nonlinear Schrödinger equations with large forcing terms. (English) Zbl 1414.35207 J. Math. Phys. 60, No. 5, 052703, 30 p. (2019). MSC: 35Q55 37C55 37J40 35B35 70K43 PDF BibTeX XML Cite \textit{J. Geng} and \textit{S. Xue}, J. Math. Phys. 60, No. 5, 052703, 30 p. (2019; Zbl 1414.35207) Full Text: DOI OpenURL
Cheng, Yu; Gómez, Gerard; Masdemont, Josep J.; Yuan, Jianping Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field. (English) Zbl 07265212 Commun. Nonlinear Sci. Numer. Simul. 62, 307-338 (2018). MSC: 65Lxx 65Hxx 65Fxx 65Dxx 65Gxx PDF BibTeX XML Cite \textit{Y. Cheng} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 307--338 (2018; Zbl 07265212) Full Text: DOI OpenURL
Zhang, Lei; de la Llave, Rafael Transition state theory with quasi-periodic forcing. (English) Zbl 07265207 Commun. Nonlinear Sci. Numer. Simul. 62, 229-243 (2018). MSC: 37D10 70K43 80A30 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{R. de la Llave}, Commun. Nonlinear Sci. Numer. Simul. 62, 229--243 (2018; Zbl 07265207) Full Text: DOI OpenURL
Ollé, Mercè; Pacha, Juan Ramon Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field. (English) Zbl 07265194 Commun. Nonlinear Sci. Numer. Simul. 62, 27-60 (2018). MSC: 70Hxx 37Gxx 70Fxx PDF BibTeX XML Cite \textit{M. Ollé} and \textit{J. R. Pacha}, Commun. Nonlinear Sci. Numer. Simul. 62, 27--60 (2018; Zbl 07265194) Full Text: DOI OpenURL
Sevryuk, Mikhail B. Integrable Hamiltonian systems with a periodic orbit or invariant torus unique in the whole phase space. (English) Zbl 1435.37091 Arnold Math. J. 4, No. 3-4, 415-422 (2018). MSC: 37J46 70H12 70K42 70K43 70H33 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Arnold Math. J. 4, No. 3--4, 415--422 (2018; Zbl 1435.37091) Full Text: DOI OpenURL
Belhaq, Mohamed; Ghouli, Zakaria; Hamdi, Mustapha Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay. (English) Zbl 1452.70018 Nonlinear Dyn. 94, No. 4, 2537-2546 (2018). MSC: 70K40 70K50 70K43 74F15 PDF BibTeX XML Cite \textit{M. Belhaq} et al., Nonlinear Dyn. 94, No. 4, 2537--2546 (2018; Zbl 1452.70018) Full Text: DOI OpenURL
Smirnov, Valeriĭ V.; Kovaleva, Margarita A.; Manevitch, Leonid I. Nonlinear dynamics of torsion lattices. (English) Zbl 1419.70013 Nelineĭn. Din. 14, No. 2, 179-193 (2018). MSC: 70K43 37E99 PDF BibTeX XML Cite \textit{V. V. Smirnov} et al., Nelineĭn. Din. 14, No. 2, 179--193 (2018; Zbl 1419.70013) Full Text: DOI MNR OpenURL
Žnidarič, Marko; Ljubotina, Marko Interaction instability of localization in quasiperiodic systems. (English) Zbl 1416.81220 Proc. Natl. Acad. Sci. USA 115, No. 18, 4595-4600 (2018). MSC: 81V19 70K43 82C22 PDF BibTeX XML Cite \textit{M. Žnidarič} and \textit{M. Ljubotina}, Proc. Natl. Acad. Sci. USA 115, No. 18, 4595--4600 (2018; Zbl 1416.81220) Full Text: DOI arXiv OpenURL
García-Garrido, Víctor J.; Balibrea-Iniesta, Francisco; Wiggins, Stephen; Mancho, Ana M.; Lopesino, Carlos Detection of phase space structures of the cat map with Lagrangian descriptors. (English) Zbl 1412.37062 Regul. Chaotic Dyn. 23, No. 6, 751-766 (2018). MSC: 37J45 37J15 37J25 37D10 37N10 70K43 PDF BibTeX XML Cite \textit{V. J. García-Garrido} et al., Regul. Chaotic Dyn. 23, No. 6, 751--766 (2018; Zbl 1412.37062) Full Text: DOI OpenURL
Bäcker, Arnd; Meiss, James D. Moser’s quadratic, symplectic map. (English) Zbl 1416.37057 Regul. Chaotic Dyn. 23, No. 6, 654-664 (2018). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J40 70H08 34C28 37C05 37J10 PDF BibTeX XML Cite \textit{A. Bäcker} and \textit{J. D. Meiss}, Regul. Chaotic Dyn. 23, No. 6, 654--664 (2018; Zbl 1416.37057) Full Text: DOI arXiv OpenURL
García-Garrido, Víctor J.; Curbelo, Jezabel; Mancho, Ana M.; Wiggins, Stephen; Mechoso, Carlos R. The application of Lagrangian descriptors to 3D vector fields. (English) Zbl 1412.37057 Regul. Chaotic Dyn. 23, No. 5, 551-568 (2018). MSC: 37J15 37D10 37N10 37J25 PDF BibTeX XML Cite \textit{V. J. García-Garrido} et al., Regul. Chaotic Dyn. 23, No. 5, 551--568 (2018; Zbl 1412.37057) Full Text: DOI OpenURL
Li, Hepeng The almost-periodic solutions of the weakly coupled pendulum equations. (English) Zbl 1446.70038 Adv. Difference Equ. 2018, Paper No. 157, 22 p. (2018). MSC: 70H12 34C15 37J40 70H08 PDF BibTeX XML Cite \textit{H. Li}, Adv. Difference Equ. 2018, Paper No. 157, 22 p. (2018; Zbl 1446.70038) Full Text: DOI OpenURL
Guo, Zhen; Li, Hong Conformal invariants of submanifolds in a Riemannian space and conformal rigidity theorems on Willmore hypersurfaces. (English) Zbl 1407.53056 J. Geom. Anal. 28, No. 3, 2670-2691 (2018). MSC: 53C40 53A30 53C21 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{H. Li}, J. Geom. Anal. 28, No. 3, 2670--2691 (2018; Zbl 1407.53056) Full Text: DOI OpenURL
Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, P. G. Quasiperiodic granular chains and Hofstadter butterflies. (English) Zbl 1404.70056 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2127, Article ID 20170139, 18 p. (2018). MSC: 70K43 PDF BibTeX XML Cite \textit{A. J. Martínez} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2127, Article ID 20170139, 18 p. (2018; Zbl 1404.70056) Full Text: DOI OpenURL
Shi, Yanling; Xu, Xindong Quasi-periodic solutions for generalized Kaup system with quasi-periodic forcing. (English) Zbl 1404.35015 J. Math. Phys. 59, No. 11, 112703, 24 p. (2018). MSC: 35B15 37K55 35G61 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{X. Xu}, J. Math. Phys. 59, No. 11, 112703, 24 p. (2018; Zbl 1404.35015) Full Text: DOI OpenURL
Li, Hepeng; Yuan, Xiaoping Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum. (English) Zbl 1408.35179 J. Math. Phys. 59, No. 11, 112701, 23 p. (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 35B15 35P30 70K43 35B35 PDF BibTeX XML Cite \textit{H. Li} and \textit{X. Yuan}, J. Math. Phys. 59, No. 11, 112701, 23 p. (2018; Zbl 1408.35179) Full Text: DOI OpenURL
Huang, Peng; Li, Xiong Persistence of invariant tori in integrable Hamiltonian systems under almost periodic perturbations. (English) Zbl 1403.70013 J. Nonlinear Sci. 28, No. 5, 1865-1900 (2018). MSC: 70H08 70H12 70K43 34C11 PDF BibTeX XML Cite \textit{P. Huang} and \textit{X. Li}, J. Nonlinear Sci. 28, No. 5, 1865--1900 (2018; Zbl 1403.70013) Full Text: DOI OpenURL
Gao, Peng Recurrent solutions of the derivative Ginzburg-Landau equation with boundary forces. (English) Zbl 1402.35144 Appl. Anal. 97, No. 16, 2743-2761 (2018). MSC: 35K55 35Q55 70K43 35B10 35B15 PDF BibTeX XML Cite \textit{P. Gao}, Appl. Anal. 97, No. 16, 2743--2761 (2018; Zbl 1402.35144) Full Text: DOI OpenURL
Wang, Bingfeng; Shi, Yanling; Jiang, Shunjun Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems. (English) Zbl 1402.37072 Qual. Theory Dyn. Syst. 17, No. 2, 345-366 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{B. Wang} et al., Qual. Theory Dyn. Syst. 17, No. 2, 345--366 (2018; Zbl 1402.37072) Full Text: DOI OpenURL
Palacián, J. F.; Vidal, C.; Vidarte, J.; Yanguas, P. Dynamics in the charged restricted circular three-body problem. (English) Zbl 1435.37090 J. Dyn. Differ. Equations 30, No. 4, 1757-1774 (2018). Reviewer: Yulianna Perepelkina (Moskva) MSC: 37J46 37J40 37J20 37J25 70K65 70H08 70F07 70K43 53D20 PDF BibTeX XML Cite \textit{J. F. Palacián} et al., J. Dyn. Differ. Equations 30, No. 4, 1757--1774 (2018; Zbl 1435.37090) Full Text: DOI OpenURL
Barros, A.; Batista, R. M.; Sousa, P. A. A new class of Killing invariant surfaces in \(\mathbb{S}^3\). (English) Zbl 1401.53014 Int. J. Math. 29, No. 10, Article ID 1850068, 11 p. (2018). MSC: 53B25 53C12 PDF BibTeX XML Cite \textit{A. Barros} et al., Int. J. Math. 29, No. 10, Article ID 1850068, 11 p. (2018; Zbl 1401.53014) Full Text: DOI OpenURL
Ding, Zhaodong; Shang, Zaijiu Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems. (English) Zbl 1400.37068 Sci. China, Math. 61, No. 9, 1567-1588 (2018). MSC: 37J40 37J35 65L07 65L20 65P10 65P40 37J10 70K43 PDF BibTeX XML Cite \textit{Z. Ding} and \textit{Z. Shang}, Sci. China, Math. 61, No. 9, 1567--1588 (2018; Zbl 1400.37068) Full Text: DOI arXiv OpenURL
Feketa, Petro Stability of trivial torus of nonlinear multifrequency systems via sign-definite quadratic forms. (English) Zbl 1413.34160 Miskolc Math. Notes 19, No. 1, 241-247 (2018). MSC: 34C46 34C45 34D35 PDF BibTeX XML Cite \textit{P. Feketa}, Miskolc Math. Notes 19, No. 1, 241--247 (2018; Zbl 1413.34160) Full Text: DOI OpenURL
Messias, Marcelo; Reinol, Alisson C. On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator. (English) Zbl 1398.70048 Nonlinear Dyn. 92, No. 3, 1287-1297 (2018). MSC: 70K65 70K42 70H08 PDF BibTeX XML Cite \textit{M. Messias} and \textit{A. C. Reinol}, Nonlinear Dyn. 92, No. 3, 1287--1297 (2018; Zbl 1398.70048) Full Text: DOI OpenURL
Xue, Nina; Zhao, Wencai On the effective reducibility of a class of quasi-periodic linear Hamiltonian systems close to constant coefficients. (English) Zbl 1408.37109 J. Funct. Spaces 2018, Article ID 5189873, 7 p. (2018). MSC: 37J45 70K43 70K30 70K28 PDF BibTeX XML Cite \textit{N. Xue} and \textit{W. Zhao}, J. Funct. Spaces 2018, Article ID 5189873, 7 p. (2018; Zbl 1408.37109) Full Text: DOI OpenURL
Karaliolios, Nikolaos Local rigidity of Diophantine translations in higher-dimensional tori. (English) Zbl 1398.37054 Regul. Chaotic Dyn. 23, No. 1, 12-25 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{N. Karaliolios}, Regul. Chaotic Dyn. 23, No. 1, 12--25 (2018; Zbl 1398.37054) Full Text: DOI arXiv OpenURL
Villanueva, Jordi A parameterization method for Lagrangian tori of exact symplectic maps of \(\mathbb{R}^{2r}\). (English) Zbl 1408.37093 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2289-2331 (2018). MSC: 37J10 37J40 70K43 PDF BibTeX XML Cite \textit{J. Villanueva}, SIAM J. Appl. Dyn. Syst. 17, No. 3, 2289--2331 (2018; Zbl 1408.37093) Full Text: DOI OpenURL