Fujiwara, Toshiaki; Pérez-Chavela, Ernesto Three-body relative equilibria on \(\mathbb{S}^2\). (English) Zbl 1528.70015 Regul. Chaotic Dyn. 28, No. 4-5, 690-706 (2023). MSC: 70F07 70K42 PDFBibTeX XMLCite \textit{T. Fujiwara} and \textit{E. Pérez-Chavela}, Regul. Chaotic Dyn. 28, No. 4--5, 690--706 (2023; Zbl 1528.70015) Full Text: DOI arXiv
Ovsyannikov, Ivan I. On the birth of discrete Lorenz attractors under bifurcations of 3D maps with nontransversal heteroclinic cycles. (English) Zbl 1501.37034 Regul. Chaotic Dyn. 27, No. 2, 217-231 (2022). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37D45 37C70 37C29 37G25 37G35 PDFBibTeX XMLCite \textit{I. I. Ovsyannikov}, Regul. Chaotic Dyn. 27, No. 2, 217--231 (2022; Zbl 1501.37034) Full Text: DOI arXiv
Zhu, Shuqiang Compactness and index of ordinary central configurations for the curved \(n\)-body problem. (English) Zbl 1491.70013 Regul. Chaotic Dyn. 26, No. 3, 236-257 (2021). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 70F15 70K42 34C40 PDFBibTeX XMLCite \textit{S. Zhu}, Regul. Chaotic Dyn. 26, No. 3, 236--257 (2021; Zbl 1491.70013) Full Text: DOI arXiv
Polekhin, Ivan Yu. The method of averaging for the Kapitza-Whitney pendulum. (English) Zbl 1466.70020 Regul. Chaotic Dyn. 25, No. 4, 401-410 (2020). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 70K40 34C29 65L07 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Regul. Chaotic Dyn. 25, No. 4, 401--410 (2020; Zbl 1466.70020) Full Text: DOI arXiv
Lim, Chjan C. General Jacobi coordinates and Herman resonance for some nonheliocentric celestial \(N\)-body problems. (English) Zbl 1480.70019 Regul. Chaotic Dyn. 25, No. 2, 149-165 (2020). Reviewer: Lennard Bakker (Provo) MSC: 70F10 37J40 PDFBibTeX XMLCite \textit{C. C. Lim}, Regul. Chaotic Dyn. 25, No. 2, 149--165 (2020; Zbl 1480.70019) Full Text: DOI
Gebhard, Björn; Ortega, Rafael Stability of periodic solutions of the \(N\)-vortex problem in general domains. (English) Zbl 1436.37065 Regul. Chaotic Dyn. 24, No. 6, 649-670 (2019). MSC: 37J25 37J46 37N10 PDFBibTeX XMLCite \textit{B. Gebhard} and \textit{R. Ortega}, Regul. Chaotic Dyn. 24, No. 6, 649--670 (2019; Zbl 1436.37065) Full Text: DOI arXiv
Fedonyuk, Vitaliy; Tallapragada, Phanindra The dynamics of a Chaplygin sleigh with an elastic internal rotor. (English) Zbl 1412.37066 Regul. Chaotic Dyn. 24, No. 1, 114-126 (2019). MSC: 37J60 70E55 70K50 70F25 PDFBibTeX XMLCite \textit{V. Fedonyuk} and \textit{P. Tallapragada}, Regul. Chaotic Dyn. 24, No. 1, 114--126 (2019; Zbl 1412.37066) Full Text: DOI
Jackman, Connor; Meléndez, Josué On the sectional curvature along central configurations. (English) Zbl 1411.70015 Regul. Chaotic Dyn. 23, No. 7-8, 961-973 (2018). MSC: 70F10 37N05 70G45 PDFBibTeX XMLCite \textit{C. Jackman} and \textit{J. Meléndez}, Regul. Chaotic Dyn. 23, No. 7--8, 961--973 (2018; Zbl 1411.70015) Full Text: DOI arXiv
Saiki, Yoshitaka; Yorke, James A. Quasi-periodic orbits in Siegel disks/balls and the Babylonian problem. (English) Zbl 1412.37052 Regul. Chaotic Dyn. 23, No. 6, 735-750 (2018). MSC: 37F50 37C55 37A30 PDFBibTeX XMLCite \textit{Y. Saiki} and \textit{J. A. Yorke}, Regul. Chaotic Dyn. 23, No. 6, 735--750 (2018; Zbl 1412.37052) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. Broer} et al., Regul. Chaotic Dyn. 23, No. 2, 212--225 (2018; Zbl 1400.37067) Full Text: DOI
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
Kuptsov, Pavel V.; Kuznetsov, Sergey P.; Stankevich, Nataliya V. A family of models with blue sky catastrophes of different classes. (English) Zbl 1387.34067 Regul. Chaotic Dyn. 22, No. 5, 551-565 (2017). MSC: 34C28 34C23 37D20 37E99 37G15 37G35 PDFBibTeX XMLCite \textit{P. V. Kuptsov} et al., Regul. Chaotic Dyn. 22, No. 5, 551--565 (2017; Zbl 1387.34067) Full Text: DOI
Sadovskí, Dmitrií A. Nekhoroshev’s approach to Hamiltonian monodromy. (English) Zbl 1372.37113 Regul. Chaotic Dyn. 21, No. 6, 720-758 (2016). MSC: 37J35 34C20 53D20 55R55 PDFBibTeX XMLCite \textit{D. A. Sadovskí}, Regul. Chaotic Dyn. 21, No. 6, 720--758 (2016; Zbl 1372.37113) 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
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 PDFBibTeX XMLCite \textit{A. Bounemoura} and \textit{S. Fischler}, Regul. Chaotic Dyn. 19, No. 2, 251--265 (2014; Zbl 1339.37042) Full Text: DOI arXiv
Pinzari, Gabriella Aspects of the planetary Birkhoff normal form. (English) Zbl 1320.70007 Regul. Chaotic Dyn. 18, No. 6, 860-906 (2013). MSC: 70F07 37J40 70F10 70F15 70K43 70K45 PDFBibTeX XMLCite \textit{G. Pinzari}, Regul. Chaotic Dyn. 18, No. 6, 860--906 (2013; Zbl 1320.70007) Full Text: DOI arXiv
Niederman, Laurent Generic super-exponential stability of elliptic equilibrium positions for symplectic vector fields. (English) Zbl 1320.70015 Regul. Chaotic Dyn. 18, No. 6, 719-731 (2013). MSC: 70H14 37J25 37J40 70K60 70K65 PDFBibTeX XMLCite \textit{L. Niederman}, Regul. Chaotic Dyn. 18, No. 6, 719--731 (2013; Zbl 1320.70015) Full Text: DOI arXiv
Bounemoura, Abed Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians. (English) Zbl 1418.37099 Regul. Chaotic Dyn. 18, No. 3, 237-260 (2013). MSC: 37J40 37J25 70H08 26E10 PDFBibTeX XMLCite \textit{A. Bounemoura}, Regul. Chaotic Dyn. 18, No. 3, 237--260 (2013; Zbl 1418.37099) Full Text: DOI arXiv
Féjoz, Jacques A proof of the invariant torus theorem of Kolmogorov. (English) Zbl 1252.70033 Regul. Chaotic Dyn. 17, No. 1, 1-5 (2012). MSC: 70F15 PDFBibTeX XMLCite \textit{J. Féjoz}, Regul. Chaotic Dyn. 17, No. 1, 1--5 (2012; Zbl 1252.70033) Full Text: DOI arXiv
Vitolo, Renato; Broer, Henk; Simó, Carles Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. (English) Zbl 1225.37087 Regul. Chaotic Dyn. 16, No. 1-2, 154-184 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37M20 37C55 37G30 PDFBibTeX XMLCite \textit{R. Vitolo} et al., Regul. Chaotic Dyn. 16, No. 1--2, 154--184 (2011; Zbl 1225.37087) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. Pöschel}, Regul. Chaotic Dyn. 16, No. 1--2, 17--23 (2011; Zbl 1219.37044) Full Text: DOI arXiv
Fernandez, O. E.; Mestdag, T.; Bloch, A. M. A generalization of Chaplygin’s reducibility theorem. (English) Zbl 1229.37087 Regul. Chaotic Dyn. 14, No. 6, 635-655 (2009). MSC: 37J60 70F25 70H05 53D17 70H33 PDFBibTeX XMLCite \textit{O. E. Fernandez} et al., Regul. Chaotic Dyn. 14, No. 6, 635--655 (2009; Zbl 1229.37087) Full Text: DOI arXiv
Belbruno, E. Random walk in celestial mechanics. (English) Zbl 1229.37104 Regul. Chaotic Dyn. 14, No. 1, 7-17 (2009). MSC: 37N05 60G35 60G50 70F07 70F15 PDFBibTeX XMLCite \textit{E. Belbruno}, Regul. Chaotic Dyn. 14, No. 1, 7--17 (2009; Zbl 1229.37104) Full Text: DOI
Albouy, A.; Fu, Y. Euler configurations and quasi-polynomial systems. (English) Zbl 1229.70032 Regul. Chaotic Dyn. 12, No. 1, 39-55 (2007). MSC: 70F07 74G05 26B25 PDFBibTeX XMLCite \textit{A. Albouy} and \textit{Y. Fu}, Regul. Chaotic Dyn. 12, No. 1, 39--55 (2007; Zbl 1229.70032) Full Text: DOI arXiv
Santos, A. A.; Vidal, C. Symmetry of the restricted \(4+1\) body problem with equal masses. (English) Zbl 1229.37017 Regul. Chaotic Dyn. 12, No. 1, 27-38 (2007). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{A. A. Santos} and \textit{C. Vidal}, Regul. Chaotic Dyn. 12, No. 1, 27--38 (2007; Zbl 1229.37017) Full Text: DOI