Mihalcea, Bogdan M.; Filinov, Vladimir S.; Syrovatka, Roman A.; Vasilyak, Leonid M. The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps. (English) Zbl 07692528 Phys. Rep. 1016, 1-103 (2023). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{B. M. Mihalcea} et al., Phys. Rep. 1016, 1--103 (2023; Zbl 07692528) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Villanueva}, Physica D 438, Article ID 133344, 14 p. (2022; Zbl 07548989) Full Text: DOI
Galatolo, Stefano; Sorrentino, Alfonso Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle. (English) Zbl 1490.37033 Discrete Contin. Dyn. Syst. 42, No. 2, 815-839 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37C40 37C30 37J40 37C05 37E10 37H12 37H30 37C75 PDFBibTeX XMLCite \textit{S. Galatolo} and \textit{A. Sorrentino}, Discrete Contin. Dyn. Syst. 42, No. 2, 815--839 (2022; Zbl 1490.37033) Full Text: DOI arXiv
Berger, Pierre; Bochi, Jairo On emergence and complexity of ergodic decompositions. (English) Zbl 1482.37004 Adv. Math. 390, Article ID 107904, 52 p. (2021). Reviewer: Francisco Balibrea (Murcia) MSC: 37A25 37A05 37A30 37A50 37C05 37C45 37C40 PDFBibTeX XMLCite \textit{P. Berger} and \textit{J. Bochi}, Adv. Math. 390, Article ID 107904, 52 p. (2021; Zbl 1482.37004) Full Text: DOI arXiv
Sevryuk, Mikhail B. Hamiltonian and reversible systems with smooth families of invariant tori. (English) Zbl 1464.37065 Indag. Math., New Ser. 32, No. 2, 406-425 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J46 37J40 70H08 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Indag. Math., New Ser. 32, No. 2, 406--425 (2021; Zbl 1464.37065) Full Text: DOI arXiv Backlinks: MO
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 PDFBibTeX XMLCite \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
Broer, Henk; Hanßmann, Heinz; Wagener, Florian Normal resonances in a double Hopf bifurcation. (English) Zbl 1461.37051 Indag. Math., New Ser. 32, No. 1, 33-54 (2021). Reviewer: Hao Wu (Nanjing) MSC: 37G05 37G15 37G35 37J20 37J40 PDFBibTeX XMLCite \textit{H. Broer} et al., Indag. Math., New Ser. 32, No. 1, 33--54 (2021; Zbl 1461.37051) Full Text: DOI
Fonda, Alessandro; Gidoni, Paolo Coupling linearity and twist: an extension of the Poincaré-Birkhoff theorem for Hamiltonian systems. (English) Zbl 1454.37057 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 55, 25 p. (2020). MSC: 37J40 70H12 37J46 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{P. Gidoni}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 6, Paper No. 55, 25 p. (2020; Zbl 1454.37057) 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 PDFBibTeX XMLCite \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
Parasyuk, I. O. Quasiperiodic forced oscillations of a solid body in the field of a quadratic potential. (English. Ukrainian original) Zbl 1459.70037 J. Math. Sci., New York 240, No. 3, 323-341 (2019); translation from Neliniĭni Kolyvannya 21, No. 1, 99-115 (2018). MSC: 70H03 70H12 37N20 70E15 PDFBibTeX XMLCite \textit{I. O. Parasyuk}, J. Math. Sci., New York 240, No. 3, 323--341 (2019; Zbl 1459.70037); translation from Neliniĭni Kolyvannya 21, No. 1, 99--115 (2018) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Bäcker} and \textit{J. D. Meiss}, Regul. Chaotic Dyn. 23, No. 6, 654--664 (2018; Zbl 1416.37057) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Villanueva}, SIAM J. Appl. Dyn. Syst. 17, No. 3, 2289--2331 (2018; Zbl 1408.37093) Full Text: DOI
Nguyen Tien Zung A conceptual approach to the problem of action-angle variables. (English) Zbl 1398.37053 Arch. Ration. Mech. Anal. 229, No. 2, 789-833 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J05 37J15 70H06 PDFBibTeX XMLCite \textit{Nguyen Tien Zung}, Arch. Ration. Mech. Anal. 229, No. 2, 789--833 (2018; Zbl 1398.37053) Full Text: DOI arXiv
Sevryuk, Mikhail B. Families of invariant tori in KAM theory: interplay of integer characteristics. (English) Zbl 1384.37078 Regul. Chaotic Dyn. 22, No. 6, 603-615 (2017). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 70H08 70H33 70K43 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 22, No. 6, 603--615 (2017; Zbl 1384.37078) Full Text: DOI arXiv
Villanueva, Jordi A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems. (English) Zbl 1456.37067 J. Nonlinear Sci. 27, No. 2, 495-530 (2017). MSC: 37J40 70K43 70H08 PDFBibTeX XMLCite \textit{J. Villanueva}, J. Nonlinear Sci. 27, No. 2, 495--530 (2017; Zbl 1456.37067) Full Text: DOI Link
Poláčik, Peter; Valdebenito, Darío A. Existence of quasiperiodic solutions of elliptic equations on \(\mathbb{R}^{N + 1}\) via center manifold and KAM theorems. (English) Zbl 1372.35016 J. Differ. Equations 262, No. 12, 6109-6164 (2017). MSC: 35B15 35B08 35J61 37J40 37K55 35J10 PDFBibTeX XMLCite \textit{P. Poláčik} and \textit{D. A. Valdebenito}, J. Differ. Equations 262, No. 12, 6109--6164 (2017; Zbl 1372.35016) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{H. Hanßmann}, Indag. Math., New Ser. 27, No. 5, 1305--1336 (2016; Zbl 1388.70007) Full Text: DOI
Bakri, Taoufik; Kuznetsov, Yuri A.; Verhulst, Ferdinand Torus bifurcations in a mechanical system. (English) Zbl 1382.70023 J. Dyn. Differ. Equations 27, No. 3-4, 371-403 (2015). MSC: 70K50 70K28 70K45 37J40 PDFBibTeX XMLCite \textit{T. Bakri} et al., J. Dyn. Differ. Equations 27, No. 3--4, 371--403 (2015; Zbl 1382.70023) Full Text: DOI
Fassò, Francesco; García-Naranjo, Luis C.; Giacobbe, Andrea Quasi-periodicity in relative quasi-periodic tori. (English) Zbl 1338.37072 Nonlinearity 28, No. 11, 4281-4301 (2015). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37J35 37C55 37C80 PDFBibTeX XMLCite \textit{F. Fassò} et al., Nonlinearity 28, No. 11, 4281--4301 (2015; Zbl 1338.37072) Full Text: DOI arXiv
Bakri, Taoufik; Verhulst, Ferdinand Bifurcations of quasi-periodic dynamics: torus breakdown. (English) Zbl 1315.34046 Z. Angew. Math. Phys. 65, No. 6, 1053-1076 (2014). Reviewer: Hao Wu (Nanjing) MSC: 34C23 34C15 34C45 34C46 34C28 34C25 34C29 34A25 PDFBibTeX XMLCite \textit{T. Bakri} and \textit{F. Verhulst}, Z. Angew. Math. Phys. 65, No. 6, 1053--1076 (2014; Zbl 1315.34046) Full Text: DOI
Luque, Alejandro; Villanueva, Jordi Quasi-periodic frequency analysis using averaging-extrapolation methods. (English) Zbl 1338.34088 SIAM J. Appl. Dyn. Syst. 13, No. 1, 1-46 (2014). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C46 37E45 37M10 65Txx 70K43 34C27 37E10 70F05 PDFBibTeX XMLCite \textit{A. Luque} and \textit{J. Villanueva}, SIAM J. Appl. Dyn. Syst. 13, No. 1, 1--46 (2014; Zbl 1338.34088) Full Text: DOI Link
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong On the destruction of resonant Lagrangean tori in Hamiltonian systems. (English) Zbl 1314.37044 Johann, Andreas (ed.) et al., Recent trends in dynamical systems. Proceedings of the international conference, Munich, Germany, January 11–13, 2012, in honor of Jürgen Scheurle on the occasion of his 60th birthday. Basel: Springer (ISBN 978-3-0348-0450-9/hbk; 978-3-0348-0451-6/ebook). Springer Proceedings in Mathematics & Statistics 35, 317-333 (2013). MSC: 37J40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Springer Proc. Math. Stat. 35, 317--333 (2013; Zbl 1314.37044) 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 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Indag. Math., New Ser. 23, No. 3, 137--150 (2012; Zbl 1263.70023) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. B. Sevryuk}, Regul. Chaotic Dyn. 16, No. 1--2, 24--38 (2011; Zbl 1277.37091) Full Text: DOI
Broer, H. W.; Hoo, J.; Naudot, V. Normal linear stability of quasi-periodic tori. (English) Zbl 1184.37045 J. Differ. Equations 232, No. 2, 355-418 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 37J40 34D30 70H08 70H33 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Differ. Equations 232, No. 2, 355--418 (2007; Zbl 1184.37045) Full Text: DOI Link