Sevryuk, M. B. Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2. (English. Russian original) Zbl 07320228 J. Math. Sci., New York 253, No. 5, 730-753 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546-541 (2017). MSC: 37N 70H 70G 70 70F PDF BibTeX XML Cite \textit{M. B. Sevryuk}, J. Math. Sci., New York 253, No. 5, 730--753 (2021; Zbl 07320228); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 546--541 (2017) Full Text: DOI
Calleja, Renato; Canadell, Marta; Haro, Alex Non-twist invariant circles in conformally symplectic systems. (English) Zbl 07319186 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105695, 16 p. (2021). MSC: 37J40 37D10 34C45 34D09 PDF BibTeX XML Cite \textit{R. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105695, 16 p. (2021; Zbl 07319186) Full Text: DOI
de la Llave, Rafael; Xu, Lu Whiskered tori for presymplectic dynamical systems. (English) Zbl 07307355 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 07307355) Full Text: DOI
Yang, Xiaomei; Xu, Junxiang Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions. (English) Zbl 07302070 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 07302070) Full Text: DOI
Martynchuk, N.; Broer, H. W.; Efstathiou, K. Recent advances in the monodromy theory of integrable Hamiltonian systems. (English) Zbl 07298852 Indag. Math., New Ser. 32, No. 1, 193-223 (2021). MSC: 37J30 37J35 81S08 81S10 81S05 PDF BibTeX XML Cite \textit{N. Martynchuk} et al., Indag. Math., New Ser. 32, No. 1, 193--223 (2021; Zbl 07298852) Full Text: DOI
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Normal resonances in a double Hopf bifurcation. (English) Zbl 07298846 Indag. Math., New Ser. 32, No. 1, 33-54 (2021). MSC: 37G05 37G15 37G35 PDF BibTeX XML Cite \textit{H. Broer} et al., Indag. Math., New Ser. 32, No. 1, 33--54 (2021; Zbl 07298846) Full Text: DOI
Jiao, Jinjing; Shi, Guanghua Quasi-periodic solutions for the two-dimensional systems with an elliptic-type degenerate equilibrium point under small perturbations. (English) Zbl 07326930 Commun. Pure Appl. Anal. 19, No. 11, 5157-5180 (2020). MSC: 34C46 34C27 34E10 37C60 34C05 34D10 PDF BibTeX XML Cite \textit{J. Jiao} and \textit{G. Shi}, Commun. Pure Appl. Anal. 19, No. 11, 5157--5180 (2020; Zbl 07326930) Full Text: DOI
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
Wang, Kun; Xu, Junxiang Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions. (English) Zbl 1446.37058 Front. Math. China 15, No. 3, 571-591 (2020). MSC: 37J40 37A05 37J06 PDF BibTeX XML Cite \textit{K. Wang} and \textit{J. Xu}, Front. Math. China 15, No. 3, 571--591 (2020; Zbl 1446.37058) Full Text: DOI
Kocić, Saša; Dias, João Lopes Reducibility of quasi-periodically forced circle flows. (English) Zbl 1445.37020 Discrete Contin. Dyn. Syst. 40, No. 9, 5325-5345 (2020). MSC: 37C55 37E10 70K40 PDF BibTeX XML Cite \textit{S. Kocić} and \textit{J. L. Dias}, Discrete Contin. Dyn. Syst. 40, No. 9, 5325--5345 (2020; Zbl 1445.37020) Full Text: DOI
Arnaiz, Víctor Spectral stability and semiclassical measures for renormalized KAM systems. (English) Zbl 1448.35349 Nonlinearity 33, No. 6, 2562-2591 (2020). MSC: 35P20 37J40 35J10 58J50 PDF BibTeX XML Cite \textit{V. Arnaiz}, Nonlinearity 33, No. 6, 2562--2591 (2020; Zbl 1448.35349) Full Text: DOI
Broer, Henk W.; Hanssmann, Heinz A Galilean dance 1:2:4 resonant periodic motions and their librations of Jupiter and his Galilean moons. (English) Zbl 1439.85001 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1043-1059 (2020). MSC: 85A05 37J40 70F10 70K30 83C10 PDF BibTeX XML Cite \textit{H. W. Broer} and \textit{H. Hanssmann}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1043--1059 (2020; Zbl 1439.85001) Full Text: DOI
Martynchuk, N.; Broer, H. W.; Efstathiou, K. Hamiltonian monodromy and Morse theory. (English) Zbl 07191225 Commun. Math. Phys. 375, No. 2, 1373-1392 (2020). MSC: 37J35 37J99 37J05 37J15 70H05 PDF BibTeX XML Cite \textit{N. Martynchuk} et al., Commun. Math. Phys. 375, No. 2, 1373--1392 (2020; Zbl 07191225) Full Text: DOI
Bernier, Joackim; Faou, Erwan; Grébert, Benoît Long time behavior of the solutions of NLW on the \(d\)-dimensional torus. (English) Zbl 1441.35169 Forum Math. Sigma 8, Paper No. e12, 26 p. (2020). MSC: 35L71 35L20 37K55 35B40 35Q55 PDF BibTeX XML Cite \textit{J. Bernier} et al., Forum Math. Sigma 8, Paper No. e12, 26 p. (2020; Zbl 1441.35169) Full Text: DOI
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
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 70K20 34D35 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., Nonlinearity 33, No. 1, 538--597 (2020; Zbl 07141430) Full Text: DOI
Grébert, Benoît; Paturel, Eric On reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) with quasiperiodic in time potential. (English. French summary) Zbl 1439.81039 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 977-1014 (2019). MSC: 81Q05 35Q41 35B15 PDF BibTeX XML Cite \textit{B. Grébert} and \textit{E. Paturel}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 977--1014 (2019; Zbl 1439.81039) Full Text: DOI
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
Karabanov, Alexander A.; Morozov, Albert D. On resonances in Hamiltonian systems with three degrees of freedom. (English) Zbl 07169980 Regul. Chaotic Dyn. 24, No. 6, 628-648 (2019). MSC: 70H05 70K30 34C15 PDF BibTeX XML Cite \textit{A. A. Karabanov} and \textit{A. D. Morozov}, Regul. Chaotic Dyn. 24, No. 6, 628--648 (2019; Zbl 07169980) Full Text: DOI
Kholostova, Olga V. On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. (English) Zbl 1428.70037 Regul. Chaotic Dyn. 24, No. 3, 235-265 (2019). MSC: 70H08 70H12 70H14 70H15 70M20 PDF BibTeX XML Cite \textit{O. V. Kholostova}, Regul. Chaotic Dyn. 24, No. 3, 235--265 (2019; Zbl 1428.70037) Full Text: DOI
Broer, Henk W.; Hanßmann, Heinz Bifurcations in volume-preserving systems. (English) Zbl 1422.37035 Acta Appl. Math. 162, No. 1, 3-32 (2019). MSC: 37J20 37J40 37C10 PDF BibTeX XML Cite \textit{H. W. Broer} and \textit{H. Hanßmann}, Acta Appl. Math. 162, No. 1, 3--32 (2019; Zbl 1422.37035) Full Text: DOI
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
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
Lazzarini, Laurent; Marco, Jean-Pierre; Sauzin, David Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems. (English) Zbl 1442.37003 Memoirs of the American Mathematical Society 1235. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3492-2/pbk; 978-1-4704-4953-7/ebook). vi, 110 p. (2019). MSC: 37-02 37J11 37J39 37J25 37J40 53D05 53D22 70H08 70H09 PDF BibTeX XML Cite \textit{L. Lazzarini} et al., Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.37003) Full Text: DOI arXiv
Li, Xuemei; Shang, Zaijiu Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations. (English) Zbl 1428.34058 J. Dyn. Differ. Equations 31, No. 2, 653-681 (2019). Reviewer: Petro Feketa (Kiel) MSC: 34C27 34C46 34K14 34E10 34K18 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Shang}, J. Dyn. Differ. Equations 31, No. 2, 653--681 (2019; Zbl 1428.34058) Full Text: DOI arXiv
Hu, Shengqing; Liu, Bin Completely degenerate lower-dimensional invariant tori for Hamiltonian system. (English) Zbl 1415.37082 J. Differ. Equations 266, No. 11, 7459-7480 (2019). MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{S. Hu} and \textit{B. Liu}, J. Differ. Equations 266, No. 11, 7459--7480 (2019; Zbl 1415.37082) Full Text: DOI
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
Christov, Ognyan Near-integrability of low-dimensional periodic Klein-Gordon lattices. (English) Zbl 1405.82008 Adv. Math. Phys. 2018, Article ID 7023696, 12 p. (2018). MSC: 82B20 37K60 PDF BibTeX XML Cite \textit{O. Christov}, Adv. Math. Phys. 2018, Article ID 7023696, 12 p. (2018; Zbl 1405.82008) Full Text: DOI
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
Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo Time quasi-periodic gravity water waves in finite depth. (English) Zbl 1445.76017 Invent. Math. 214, No. 2, 739-911 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 76B15 35Q35 86A05 PDF BibTeX XML Cite \textit{P. Baldi} et al., Invent. Math. 214, No. 2, 739--911 (2018; Zbl 1445.76017) Full Text: DOI
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Persistence properties of normally hyperbolic Tori. (English) Zbl 1400.37067 Regul. Chaotic Dyn. 23, No. 2, 212-225 (2018). MSC: 37J40 37G35 37J20 70H08 PDF BibTeX XML Cite \textit{H. Broer} et al., Regul. Chaotic Dyn. 23, No. 2, 212--225 (2018; Zbl 1400.37067) Full Text: DOI
Si, Wen; Si, Jianguo Linearization of a quasi-periodically forced flow on \(\mathbb T^m\) under Brjuno-Rüssmann non-resonant condition. (English) Zbl 1397.37066 Appl. Anal. 97, No. 12, 2001-2024 (2018). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, Appl. Anal. 97, No. 12, 2001--2024 (2018; Zbl 1397.37066) Full Text: DOI
Hu, Shengqing; Liu, Bin Degenerate lower dimensional invariant tori in reversible system. (English) Zbl 1409.37062 Discrete Contin. Dyn. Syst. 38, No. 8, 3735-3763 (2018). MSC: 37J40 70K43 70H08 PDF BibTeX XML Cite \textit{S. Hu} and \textit{B. Liu}, Discrete Contin. Dyn. Syst. 38, No. 8, 3735--3763 (2018; Zbl 1409.37062) Full Text: DOI
Wang, Xiaocai Non-Floquet invariant tori in reversible systems. (English) Zbl 1396.37065 Discrete Contin. Dyn. Syst. 38, No. 7, 3439-3457 (2018). MSC: 37J40 47A55 70K43 PDF BibTeX XML Cite \textit{X. Wang}, Discrete Contin. Dyn. Syst. 38, No. 7, 3439--3457 (2018; Zbl 1396.37065) Full Text: DOI
Si, Wen; Si, Jianguo Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems. (English) Zbl 1401.37067 Nonlinearity 31, No. 6, 2361-2418 (2018). Reviewer: Manuel de León (Madrid) MSC: 37J40 34C27 34E20 70H12 70H08 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, Nonlinearity 31, No. 6, 2361--2418 (2018; Zbl 1401.37067) Full Text: DOI
Liang, Jianli; Tang, Longkun On the reducibility of a nonlinear periodic system with degenerate equilibrium. (English) Zbl 1400.37071 Dyn. Syst. 33, No. 2, 239-252 (2018). Reviewer: Feng Xie (Shanghai) MSC: 37J40 70H12 34C20 34D10 34K13 37J25 37J45 PDF BibTeX XML Cite \textit{J. Liang} and \textit{L. Tang}, Dyn. Syst. 33, No. 2, 239--252 (2018; Zbl 1400.37071) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang Gevrey smoothness of families of invariant curves for analytic area preserving mappings. (English) Zbl 1390.70045 Acta Appl. Math. 154, No. 1, 31-42 (2018). MSC: 70H08 37J40 34C27 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{J. Xu}, Acta Appl. Math. 154, No. 1, 31--42 (2018; Zbl 1390.70045) Full Text: DOI
Hong, Weiwei; Zhang, Dongfeng Persistence of lower dimensional invariant tori in a class of reversible systems. (English) Zbl 1383.37048 Dyn. Syst. 33, No. 1, 72-92 (2018). MSC: 37J40 47A55 70K43 70H08 PDF BibTeX XML Cite \textit{W. Hong} and \textit{D. Zhang}, Dyn. Syst. 33, No. 1, 72--92 (2018; Zbl 1383.37048) Full Text: DOI
Si, Wen; Si, Jianguo Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems. (English) Zbl 1381.37074 J. Math. Anal. Appl. 460, No. 1, 164-202 (2018). MSC: 37J40 37J05 PDF BibTeX XML Cite \textit{W. Si} and \textit{J. Si}, J. Math. Anal. Appl. 460, No. 1, 164--202 (2018; Zbl 1381.37074) Full Text: DOI
Massetti, Jessica Elisa A normal form à la Moser for diffeomorphisms and a generalization of Rüssmann’s translated curve theorem to higher dimensions. (English) Zbl 06789262 Anal. PDE 11, No. 1, 149-170 (2018). MSC: 37J40 37C05 70H08 70H09 PDF BibTeX XML Cite \textit{J. E. Massetti}, Anal. PDE 11, No. 1, 149--170 (2018; Zbl 06789262) Full Text: DOI
Canadell, Marta; Haro, Àlex Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results. (English) Zbl 1380.37061 J. Nonlinear Sci. 27, No. 6, 1869-1904 (2017). MSC: 37D10 37E45 37J40 37M25 65P40 PDF BibTeX XML Cite \textit{M. Canadell} and \textit{À. Haro}, J. Nonlinear Sci. 27, No. 6, 1869--1904 (2017; Zbl 1380.37061) Full Text: DOI
Canadell, Marta; Haro, Àlex Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown. (English) Zbl 06818074 J. Nonlinear Sci. 27, No. 6, 1829-1868 (2017). MSC: 37J40 37D10 37M25 70H08 PDF BibTeX XML Cite \textit{M. Canadell} and \textit{À. Haro}, J. Nonlinear Sci. 27, No. 6, 1829--1868 (2017; Zbl 06818074) Full Text: DOI
Figueras, J.-Ll.; Haro, A.; Luque, A. Rigorous computer-assisted application of KAM theory: a modern approach. (English) Zbl 1383.37047 Found. Comput. Math. 17, No. 5, 1123-1193 (2017). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J40 37J10 65G20 65G40 65T50 PDF BibTeX XML Cite \textit{J. Ll. Figueras} et al., Found. Comput. Math. 17, No. 5, 1123--1193 (2017; Zbl 1383.37047) Full Text: DOI
Lou, Zhaowei; Si, Jianguo Quasi-periodic solutions for the reversible derivative nonlinear Schrödinger equations with periodic boundary conditions. (English) Zbl 1377.37109 J. Dyn. Differ. Equations 29, No. 3, 1031-1069 (2017). MSC: 37K55 35Q41 35B15 PDF BibTeX XML Cite \textit{Z. Lou} and \textit{J. Si}, J. Dyn. Differ. Equations 29, No. 3, 1031--1069 (2017; Zbl 1377.37109) Full Text: DOI
Marò, Stefano; Sorrentino, Alfonso Aubry-Mather theory for conformally symplectic systems. (English) Zbl 1380.37117 Commun. Math. Phys. 354, No. 2, 775-808 (2017). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J50 70G75 PDF BibTeX XML Cite \textit{S. Marò} and \textit{A. Sorrentino}, Commun. Math. Phys. 354, No. 2, 775--808 (2017; Zbl 1380.37117) Full Text: DOI
Wojtkowski, Maciej P. Integrability via reversibility. (English) Zbl 1414.70007 J. Geom. Phys. 115, 61-74 (2017). MSC: 70H06 37J35 53C30 PDF BibTeX XML Cite \textit{M. P. Wojtkowski}, J. Geom. Phys. 115, 61--74 (2017; Zbl 1414.70007) Full Text: DOI arXiv
Bernardi, Olga; Dalla Riva, Matteo Analytic dependence on parameters for Evans’ approximated weak KAM solutions. (English) Zbl 1375.37154 Discrete Contin. Dyn. Syst. 37, No. 9, 4625-4636 (2017). Reviewer: Wolfgang G. Hollik (Hamburg) MSC: 37J40 70H08 70H09 47H14 70H20 41A58 PDF BibTeX XML Cite \textit{O. Bernardi} and \textit{M. Dalla Riva}, Discrete Contin. Dyn. Syst. 37, No. 9, 4625--4636 (2017; Zbl 1375.37154) Full Text: DOI
Jiang, Shunjun A KAM theorem for lower dimensional elliptic invariant tori of nearly integrable symplectic mappings. (English) Zbl 1380.37114 J. Funct. Spaces 2017, Article ID 3719395, 10 p. (2017). Reviewer: Dongfeng Zhang (Nanjing) MSC: 37J10 37J05 70H08 37J40 70H15 PDF BibTeX XML Cite \textit{S. Jiang}, J. Funct. Spaces 2017, Article ID 3719395, 10 p. (2017; Zbl 1380.37114) Full Text: DOI
Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. (English) Zbl 1364.37131 Discrete Contin. Dyn. Syst. 37, No. 4, 2141-2160 (2017). MSC: 37J40 47A55 PDF BibTeX XML Cite \textit{D. Zhang} et al., Discrete Contin. Dyn. Syst. 37, No. 4, 2141--2160 (2017; Zbl 1364.37131) Full Text: DOI
Lu, Xuezhu; Li, Jia; Xu, Junxiang A KAM theorem for a class of nearly integrable symplectic mappings. (English) Zbl 1370.37117 J. Dyn. Differ. Equations 29, No. 1, 131-154 (2017). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J40 37J10 53D05 70H08 PDF BibTeX XML Cite \textit{X. Lu} et al., J. Dyn. Differ. Equations 29, No. 1, 131--154 (2017; Zbl 1370.37117) Full Text: DOI
de la Llave, Rafael; Su, Xifeng; Zhang, Lei Resonant equilibrium configurations in quasi-periodic media: KAM theory. (English) Zbl 1404.70057 SIAM J. Math. Anal. 49, No. 1, 597-625 (2017). MSC: 70K43 37J40 52C23 70H08 PDF BibTeX XML Cite \textit{R. de la Llave} et al., SIAM J. Math. Anal. 49, No. 1, 597--625 (2017; Zbl 1404.70057) Full Text: DOI arXiv
Sevryuk, Mikhail B. Whitney smooth families of invariant tori within the reversible context 2 of KAM theory. (English) Zbl 1369.70044 Regul. Chaotic Dyn. 21, No. 6, 599-620 (2016). MSC: 70K43 70H33 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 21, No. 6, 599--620 (2016; Zbl 1369.70044) Full Text: DOI arXiv
Broer, Henk W.; Hanßmann, Heinz On Jupiter and his Galilean satellites: librations of de Sitter’s periodic motions. (English) Zbl 1388.70007 Indag. Math., New Ser. 27, No. 5, 1305-1336 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70F15 70H12 PDF BibTeX XML Cite \textit{H. W. Broer} and \textit{H. Hanßmann}, Indag. Math., New Ser. 27, No. 5, 1305--1336 (2016; Zbl 1388.70007) Full Text: DOI
Wang, Lei; Yuan, Quan; Li, Jia Persistence of the hyperbolic lower dimensional non-twist invariant torus in a class of Hamiltonian systems. (English) Zbl 1375.37155 Commun. Pure Appl. Anal. 15, No. 4, 1233-1250 (2016). Reviewer: Jie Liu (Jiaozuo) MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{L. Wang} et al., Commun. Pure Appl. Anal. 15, No. 4, 1233--1250 (2016; Zbl 1375.37155) Full Text: DOI
Berti, Massimiliano KAM for PDEs. (English) Zbl 1339.37075 Boll. Unione Mat. Ital. 9, No. 2, 115-142 (2016). MSC: 37K55 35B20 37-02 35Q35 35Q55 PDF BibTeX XML Cite \textit{M. Berti}, Boll. Unione Mat. Ital. 9, No. 2, 115--142 (2016; Zbl 1339.37075) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. (English) Zbl 1338.37075 Acta Appl. Math. 143, No. 1, 45-61 (2016). MSC: 37J40 34C27 PDF BibTeX XML Cite \textit{X. Wang} et al., Acta Appl. Math. 143, No. 1, 45--61 (2016; Zbl 1338.37075) Full Text: DOI
He, Xiaolong; de la Llave, Rafael Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. (English) Zbl 1407.34094 J. Differ. Equations 261, No. 3, 2068-2108 (2016). MSC: 34K06 34K27 37J40 70K43 PDF BibTeX XML Cite \textit{X. He} and \textit{R. de la Llave}, J. Differ. Equations 261, No. 3, 2068--2108 (2016; Zbl 1407.34094) Full Text: DOI
de la Llave, Rafael; Su, Xifeng; Zhang, Lei Resonant equilibrium configurations in quasi-periodic media: perturbative expansions. (English) Zbl 1382.70022 J. Stat. Phys. 162, No. 6, 1522-1538 (2016). MSC: 70K43 37J50 37J40 70H08 PDF BibTeX XML Cite \textit{R. de la Llave} et al., J. Stat. Phys. 162, No. 6, 1522--1538 (2016; Zbl 1382.70022) Full Text: DOI arXiv
Xu, Junxiang; Lu, Xuezhu General KAM theorems and their applications to invariant tori with prescribed frequencies. (English) Zbl 1344.37070 Regul. Chaotic Dyn. 21, No. 1, 107-125 (2016). MSC: 37J40 34C27 70H08 PDF BibTeX XML Cite \textit{J. Xu} and \textit{X. Lu}, Regul. Chaotic Dyn. 21, No. 1, 107--125 (2016; Zbl 1344.37070) Full Text: DOI arXiv
Li, Xuemei On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fields. (English) Zbl 1347.34061 J. Differ. Equations 260, No. 10, 7320-7357 (2016). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C23 34C45 34C20 37J45 PDF BibTeX XML Cite \textit{X. Li}, J. Differ. Equations 260, No. 10, 7320--7357 (2016; Zbl 1347.34061) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. (English) Zbl 1333.37091 Discrete Contin. Dyn. Syst. 36, No. 3, 1677-1692 (2016). MSC: 37J40 47A55 37F50 PDF BibTeX XML Cite \textit{X. Wang} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1677--1692 (2016; Zbl 1333.37091) Full Text: DOI
Berti, Massimiliano; Bolle, Philippe A Nash-Moser approach to KAM theory. (English) Zbl 1342.37073 Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 255-284 (2015). Reviewer: Christopher Policastro (Berkeley) MSC: 37K55 PDF BibTeX XML Cite \textit{M. Berti} and \textit{P. Bolle}, Fields Inst. Commun. 75, 255--284 (2015; Zbl 1342.37073) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng On the persistence of degenerate lower-dimensional tori in reversible systems. (English) Zbl 1351.37231 Ergodic Theory Dyn. Syst. 35, No. 7, 2311-2333 (2015). MSC: 37J40 PDF BibTeX XML Cite \textit{X. Wang} et al., Ergodic Theory Dyn. Syst. 35, No. 7, 2311--2333 (2015; Zbl 1351.37231) Full Text: DOI
Eliasson, L. H.; Fayad, B.; Krikorian, R. Around the stability of KAM tori. (English) Zbl 1366.37126 Duke Math. J. 164, No. 9, 1733-1775 (2015). Reviewer: Xiaocai Wang (Huaian) MSC: 37J40 70H08 37J25 70H12 70H14 PDF BibTeX XML Cite \textit{L. H. Eliasson} et al., Duke Math. J. 164, No. 9, 1733--1775 (2015; Zbl 1366.37126) Full Text: DOI Euclid arXiv
Corsi, Livia; Gentile, Guido Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems. (English) Zbl 1371.70061 Ergodic Theory Dyn. Syst. 35, No. 4, 1079-1140 (2015). Reviewer: Giuseppe Gaeta (Milano) MSC: 70K60 70K43 34C27 34D10 37J40 PDF BibTeX XML Cite \textit{L. Corsi} and \textit{G. Gentile}, Ergodic Theory Dyn. Syst. 35, No. 4, 1079--1140 (2015; Zbl 1371.70061) Full Text: DOI arXiv
Fontich, Ernest; de la Llave, Rafael; Sire, Yannick Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. (English) Zbl 1351.37258 J. Differ. Equations 259, No. 6, 2180-2279 (2015). MSC: 37K60 35Q70 37J40 37D05 70H08 70K43 PDF BibTeX XML Cite \textit{E. Fontich} et al., J. Differ. Equations 259, No. 6, 2180--2279 (2015; Zbl 1351.37258) Full Text: DOI arXiv
Hanßmann, Heinz Perturbations of superintegrable systems. (English) Zbl 1314.37045 Acta Appl. Math. 137, No. 1, 79-95 (2015). MSC: 37J40 PDF BibTeX XML Cite \textit{H. Hanßmann}, Acta Appl. Math. 137, No. 1, 79--95 (2015; Zbl 1314.37045) Full Text: DOI
Corsi, Livia; Haus, Emanuele; Procesi, Michela A KAM result on compact Lie groups. (English) Zbl 1317.37094 Acta Appl. Math. 137, No. 1, 41-59 (2015). MSC: 37K55 58C15 35Q55 37K30 PDF BibTeX XML Cite \textit{L. Corsi} et al., Acta Appl. Math. 137, No. 1, 41--59 (2015; Zbl 1317.37094) Full Text: DOI arXiv
Qiu, Wenhua; Si, Jianguo On small perturbation of four-dimensional quasi-periodic system with degenerate equilibrium point. (English) Zbl 1316.34042 Commun. Pure Appl. Anal. 14, No. 2, 421-437 (2015). MSC: 34C20 34D10 34C27 34C46 37J40 PDF BibTeX XML Cite \textit{W. Qiu} and \textit{J. Si}, Commun. Pure Appl. Anal. 14, No. 2, 421--437 (2015; Zbl 1316.34042) Full Text: DOI
Wang, Haiyong; Jiang, Shunjun Boundedness of solutions of forced isochronous oscillators with singularity at resonance. (English) Zbl 1351.34048 Adv. Difference Equ. 2014, Paper No. 55, 15 p. (2014). MSC: 34C27 34C15 34C11 37C60 PDF BibTeX XML Cite \textit{H. Wang} and \textit{S. Jiang}, Adv. Difference Equ. 2014, Paper No. 55, 15 p. (2014; Zbl 1351.34048) Full Text: DOI
Kong, Yuedong; Xu, Junxiang Persistence of lower dimensional hyperbolic tori for reversible system. (English) Zbl 1334.37068 Appl. Math. Comput. 236, 408-421 (2014). MSC: 37J40 PDF BibTeX XML Cite \textit{Y. Kong} and \textit{J. Xu}, Appl. Math. Comput. 236, 408--421 (2014; Zbl 1334.37068) Full Text: DOI
Fortunati, Alessandro; Wiggins, Stephen Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence. (English) Zbl 1308.70029 Regul. Chaotic Dyn. 19, No. 5, 586-600 (2014). MSC: 70H08 37J40 37J25 PDF BibTeX XML Cite \textit{A. Fortunati} and \textit{S. Wiggins}, Regul. Chaotic Dyn. 19, No. 5, 586--600 (2014; Zbl 1308.70029) Full Text: DOI arXiv
Bounemoura, Abed; Fischler, Stéphane The classical KAM theorem for Hamiltonian systems via rational approximations. (English) Zbl 1339.37042 Regul. Chaotic Dyn. 19, No. 2, 251-265 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J25 37J40 70H08 70H09 PDF BibTeX XML Cite \textit{A. Bounemoura} and \textit{S. Fischler}, Regul. Chaotic Dyn. 19, No. 2, 251--265 (2014; Zbl 1339.37042) Full Text: DOI arXiv
González-Enríquez, A.; Haro, A.; de la Llave, R. Singularity theory for non-twist KAM tori. (English) Zbl 1343.37043 Mem. Am. Math. Soc. 1067, vi, 115 p. (2014). MSC: 37J20 37J40 PDF BibTeX XML Cite \textit{A. González-Enríquez} et al., Singularity theory for non-twist KAM tori. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1343.37043) Full Text: DOI
Lu, Xuezhu; Xu, Junxiang On small perturbations of a nonlinear periodic system with degenerate equilibrium. (English) Zbl 1315.37038 NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 3, 361-370 (2014). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J40 70H12 34C20 70H09 PDF BibTeX XML Cite \textit{X. Lu} and \textit{J. Xu}, NoDEA, Nonlinear Differ. Equ. Appl. 21, No. 3, 361--370 (2014; Zbl 1315.37038) Full Text: DOI
Berti, Massimiliano; Biasco, Luca; Procesi, Michela KAM for reversible derivative wave equations. (English) Zbl 1293.35275 Arch. Ration. Mech. Anal. 212, No. 3, 905-955 (2014). MSC: 35Q53 37K55 35B35 35B10 PDF BibTeX XML Cite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 212, No. 3, 905--955 (2014; Zbl 1293.35275) Full Text: DOI arXiv
Gorban, Alexander N.; Karlin, Ilya Hilbert’s 6th problem: exact and approximate hydrodynamic manifolds for kinetic equations. (English) Zbl 1294.35052 Bull. Am. Math. Soc., New Ser. 51, No. 2, 187-246 (2014). MSC: 35Q20 35Q35 76P05 82B40 35C20 82C40 PDF BibTeX XML Cite \textit{A. N. Gorban} and \textit{I. Karlin}, Bull. Am. Math. Soc., New Ser. 51, No. 2, 187--246 (2014; Zbl 1294.35052) Full Text: DOI arXiv
Qiu, Wenhua; Si, Jianguo Reducibility for a class of almost-periodic differential equations with degenerate equilibrium point under small almost-periodic perturbations. (English) Zbl 1295.34051 Abstr. Appl. Anal. 2013, Article ID 386812, 9 p. (2013). MSC: 34C20 34C46 34D10 PDF BibTeX XML Cite \textit{W. Qiu} and \textit{J. Si}, Abstr. Appl. Anal. 2013, Article ID 386812, 9 p. (2013; Zbl 1295.34051) Full Text: DOI
Zhang, Tingting; Si, Jianguo Boundedness of solutions for a class of sublinear reversible oscillators with periodic forcing. (English) Zbl 1296.34084 Abstr. Appl. Anal. 2013, Article ID 246343, 18 p. (2013). MSC: 34C11 34C15 34C14 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{J. Si}, Abstr. Appl. Anal. 2013, Article ID 246343, 18 p. (2013; Zbl 1296.34084) Full Text: DOI
Bibikov, Yu. N. The stability of the equilibrium position of Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1282.70034 J. Appl. Math. Mech. 77, No. 2, 167-171 (2013); translation from Prikl. Mat. Mekh. 77, No. 2, 232-238 (2013). MSC: 70H05 70H14 PDF BibTeX XML Cite \textit{Yu. N. Bibikov}, J. Appl. Math. Mech. 77, No. 2, 167--171 (2013; Zbl 1282.70034); translation from Prikl. Mat. Mekh. 77, No. 2, 232--238 (2013) Full Text: DOI
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael A KAM theory for conformally symplectic systems: efficient algorithms and their validation. (English) Zbl 1345.37078 J. Differ. Equations 255, No. 5, 978-1049 (2013). MSC: 37K55 37L99 70K43 70K20 PDF BibTeX XML Cite \textit{R. C. Calleja} et al., J. Differ. Equations 255, No. 5, 978--1049 (2013; Zbl 1345.37078) Full Text: DOI
Bounemoura, Abed; Fischler, Stéphane A Diophantine duality applied to the KAM and Nekhoroshev theorems. (English) Zbl 1308.37028 Math. Z. 275, No. 3-4, 1135-1167 (2013). Reviewer: Angel Zhivkov (Sofia) MSC: 37J40 34C20 70H08 PDF BibTeX XML Cite \textit{A. Bounemoura} and \textit{S. Fischler}, Math. Z. 275, No. 3--4, 1135--1167 (2013; Zbl 1308.37028) Full Text: DOI
Berti, Massimiliano; Biasco, Luca; Procesi, Michela Existence and stability of quasi-periodic solutions for derivative wave equations. (English) Zbl 1282.37040 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 199-214 (2013). Reviewer: Natalia Bondarenko (Saratov) MSC: 37K55 35L05 PDF BibTeX XML Cite \textit{M. Berti} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 24, No. 2, 199--214 (2013; Zbl 1282.37040) Full Text: DOI arXiv
Alishah, Hassan Najafi; de la Llave, Rafael Tracing KAM tori in presymplectic dynamical systems. (English) Zbl 1327.70014 J. Dyn. Differ. Equations 24, No. 4, 685-711 (2012). MSC: 70H08 70G45 70K43 PDF BibTeX XML Cite \textit{H. N. Alishah} and \textit{R. de la Llave}, J. Dyn. Differ. Equations 24, No. 4, 685--711 (2012; Zbl 1327.70014) Full Text: DOI arXiv
Celletti, Aessandra; Lhotka, Christoph Normal form construction for nearly-integrable systems with dissipation. (English) Zbl 1261.37025 Regul. Chaotic Dyn. 17, No. 3-4, 273-292 (2012). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37J40 PDF BibTeX XML Cite \textit{A. Celletti} and \textit{C. Lhotka}, Regul. Chaotic Dyn. 17, No. 3--4, 273--292 (2012; Zbl 1261.37025) Full Text: DOI
Belyaev, Aleksandr V. On the direct proof of the Poincaré theorem on invariant tori. (English. Russian original) Zbl 1371.70047 J. Math. Sci., New York 181, No. 1, 18-27 (2012); translation from Ukr. Mat. Visn. 8, No. 3, 343-364 (2011). Reviewer: Franco Cardin (Padova) MSC: 70H08 37J40 PDF BibTeX XML Cite \textit{A. V. Belyaev}, J. Math. Sci., New York 181, No. 1, 18--27 (2012; Zbl 1371.70047); translation from Ukr. Mat. Visn. 8, No. 3, 343--364 (2011) Full Text: DOI
Sevryuk, Mikhail B. Quasi-periodic perturbations within the reversible context 2 in KAM theory. (English) Zbl 1263.70023 Indag. Math., New Ser. 23, No. 3, 137-150 (2012). Reviewer: Angel Zhivkov (Sofia) MSC: 70H08 70H09 70H12 37J40 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Indag. Math., New Ser. 23, No. 3, 137--150 (2012; Zbl 1263.70023) Full Text: DOI arXiv
Li, Xuemei; Yuan, Xiaoping Quasi-periodic solutions for perturbed autonomous delay differential equations. (English) Zbl 1244.34093 J. Differ. Equations 252, No. 6, 3752-3796 (2012). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 34K14 34K27 PDF BibTeX XML Cite \textit{X. Li} and \textit{X. Yuan}, J. Differ. Equations 252, No. 6, 3752--3796 (2012; Zbl 1244.34093) Full Text: DOI
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng Degenerate lower dimensional tori in reversible systems. (English) Zbl 1260.37029 J. Math. Anal. Appl. 387, No. 2, 776-790 (2012). Reviewer: Pau Martin de la Torre (Barcelona) MSC: 37J40 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Math. Anal. Appl. 387, No. 2, 776--790 (2012; Zbl 1260.37029) Full Text: DOI
Hanßmann, Heinz Non-degeneracy conditions in KAM theory. (English) Zbl 1253.37058 Indag. Math., New Ser. 22, No. 3-4, 241-256 (2011). MSC: 37J40 PDF BibTeX XML Cite \textit{H. Hanßmann}, Indag. Math., New Ser. 22, No. 3--4, 241--256 (2011; Zbl 1253.37058) Full Text: DOI
Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang Persistence of lower dimensional tori for a class of nearly integrable reversible systems. (English) Zbl 1223.37075 Acta Appl. Math. 115, No. 2, 193-207 (2011). MSC: 37J40 34C27 PDF BibTeX XML Cite \textit{X. Wang} et al., Acta Appl. Math. 115, No. 2, 193--207 (2011; Zbl 1223.37075) Full Text: DOI
Xu, Junxiang; Jiang, Shunjun Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. (English) Zbl 1218.34050 Ergodic Theory Dyn. Syst. 31, No. 2, 599-611 (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C27 37J40 PDF BibTeX XML Cite \textit{J. Xu} and \textit{S. Jiang}, Ergodic Theory Dyn. Syst. 31, No. 2, 599--611 (2011; Zbl 1218.34050) Full Text: DOI
Jiang, Shunjun; Xu, Junxiang; Zhang, Fubao Lagrangian stability of a class of second-order periodic systems. (English) Zbl 1222.34047 Bound. Value Probl. 2011, Article ID 845413, 18 p. (2011). MSC: 34C27 34C11 34D20 PDF BibTeX XML Cite \textit{S. Jiang} et al., Bound. Value Probl. 2011, Article ID 845413, 18 p. (2011; Zbl 1222.34047) Full Text: DOI EuDML
Hanßmann, Heinz Quasi-periodic bifurcations in reversible systems. (English) Zbl 1225.37059 Regul. Chaotic Dyn. 16, No. 1-2, 51-60 (2011). Reviewer: Vasile Marinca (Timişoara) MSC: 37G30 37G40 70K43 PDF BibTeX XML Cite \textit{H. Hanßmann}, Regul. Chaotic Dyn. 16, No. 1--2, 51--60 (2011; Zbl 1225.37059) Full Text: DOI
Sevryuk, Mikhail B. The reversible context 2 in KAM theory: the first steps. (English) Zbl 1277.37091 Regul. Chaotic Dyn. 16, No. 1-2, 24-38 (2011). MSC: 37J40 70H33 70K43 PDF BibTeX XML Cite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 16, No. 1--2, 24--38 (2011; Zbl 1277.37091) Full Text: DOI
Pöschel, Jürgen KAM à la R. (English) Zbl 1219.37044 Regul. Chaotic Dyn. 16, No. 1-2, 17-23 (2011). MSC: 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{J. Pöschel}, Regul. Chaotic Dyn. 16, No. 1--2, 17--23 (2011; Zbl 1219.37044) Full Text: DOI arXiv
Wang, Xinping Boundedness for sublinear reversible systems with a nonlinear damping and periodic forcing term. (English) Zbl 1213.34054 J. Math. Anal. Appl. 378, No. 1, 76-88 (2011). MSC: 34C11 34C14 PDF BibTeX XML Cite \textit{X. Wang}, J. Math. Anal. Appl. 378, No. 1, 76--88 (2011; Zbl 1213.34054) Full Text: DOI
Corsi, Livia; Gentile, Guido; Procesi, Michela KAM theory in configuration space and cancellations in the Lindstedt series. (English) Zbl 1238.37017 Commun. Math. Phys. 302, No. 2, 359-402 (2011). Reviewer: Vassilios Rothos (Thessaloniki) MSC: 37J40 70H08 PDF BibTeX XML Cite \textit{L. Corsi} et al., Commun. Math. Phys. 302, No. 2, 359--402 (2011; Zbl 1238.37017) Full Text: DOI arXiv
Xu, Junxiang On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. (English) Zbl 1217.34076 J. Differ. Equations 250, No. 1, 551-571 (2011). Reviewer: Ludvík Janoš (Claremont) MSC: 34C46 34C20 34C27 34E10 34C05 PDF BibTeX XML Cite \textit{J. Xu}, J. Differ. Equations 250, No. 1, 551--571 (2011; Zbl 1217.34076) Full Text: DOI
Stenlund, Mikko An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum. (English) Zbl 1311.70024 J. Math. Phys. 51, No. 7, 072902, 40 p. (2010). MSC: 70F20 70H05 34C37 PDF BibTeX XML Cite \textit{M. Stenlund}, J. Math. Phys. 51, No. 7, 072902, 40 p. (2010; Zbl 1311.70024) Full Text: DOI arXiv