Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates. (English) Zbl 1479.37060 Discrete Contin. Dyn. Syst. 41, No. 11, 5183-5208 (2021). MSC: 37J25 70H14 70K42 PDFBibTeX XMLCite \textit{D. Cárcamo-Díaz} et al., Discrete Contin. Dyn. Syst. 41, No. 11, 5183--5208 (2021; Zbl 1479.37060) Full Text: DOI
Fan, Zhiping; Zhang, Duanzhi Minimal period solutions in asymptotically linear Hamiltonian system with symmetries. (English) Zbl 1473.37077 Discrete Contin. Dyn. Syst. 41, No. 5, 2095-2124 (2021). Reviewer: Alexander Prokopenya (Warszawa) MSC: 37J46 37J51 70H33 70H12 70H14 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{D. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 5, 2095--2124 (2021; Zbl 1473.37077) Full Text: DOI
Gidea, Marian; de la Llave, Rafael; Seara, Tere M. A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold. (English) Zbl 1454.37054 Discrete Contin. Dyn. Syst. 40, No. 12, 6795-6813 (2020). MSC: 37J25 37J39 37J06 70H14 70K20 70K50 PDFBibTeX XMLCite \textit{M. Gidea} et al., Discrete Contin. Dyn. Syst. 40, No. 12, 6795--6813 (2020; Zbl 1454.37054) Full Text: DOI
Zhang, Yongchao; Zhou, Qinglong Analytic results for the linear stability of the equilibrium point in Robe’s restricted elliptic three-body problem. (English) Zbl 1412.70017 Discrete Contin. Dyn. Syst. 37, No. 3, 1763-1787 (2017). MSC: 70F07 70H14 70H15 34C25 34D20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Q. Zhou}, Discrete Contin. Dyn. Syst. 37, No. 3, 1763--1787 (2017; Zbl 1412.70017) Full Text: DOI arXiv
Lewis, Mark; Offin, Daniel; Buono, Pietro-Luciano; Kovacic, Mitchell Instability of the periodic hip-hop orbit in the \(2N\)-body problem with equal masses. (English) Zbl 1332.70014 Discrete Contin. Dyn. Syst. 33, No. 3, 1137-1155 (2013). MSC: 70F10 70H12 70H14 PDFBibTeX XMLCite \textit{M. Lewis} et al., Discrete Contin. Dyn. Syst. 33, No. 3, 1137--1155 (2013; Zbl 1332.70014) Full Text: DOI
Rupp, Florian; Scheurle, Jürgen Classification of a class of relative equilibria in three body Coulomb systems. (English) Zbl 1306.37058 Discrete Contin. Dyn. Syst. 2011, Suppl., 1254-1262 (2011). MSC: 37J25 37J15 70F07 70H12 70H14 PDFBibTeX XMLCite \textit{F. Rupp} and \textit{J. Scheurle}, Discrete Contin. Dyn. Syst. 2011, 1254--1262 (2011; Zbl 1306.37058) Full Text: Link
Biasco, Luca; Chierchia, Luigi Exponential stability for the resonant D’Alembert model of celestial mechanics. (English) Zbl 1067.70011 Discrete Contin. Dyn. Syst. 12, No. 4, 569-594 (2005). MSC: 70F15 70H14 37N05 PDFBibTeX XMLCite \textit{L. Biasco} and \textit{L. Chierchia}, Discrete Contin. Dyn. Syst. 12, No. 4, 569--594 (2005; Zbl 1067.70011) Full Text: DOI
Giorgilli, Antonio Unstable equilibria of Hamiltonian systems. (English) Zbl 1016.37031 Discrete Contin. Dyn. Syst. 7, No. 4, 855-871 (2001). MSC: 37J40 37G05 34C30 34A34 70H05 70H15 70H14 PDFBibTeX XMLCite \textit{A. Giorgilli}, Discrete Contin. Dyn. Syst. 7, No. 4, 855--871 (2001; Zbl 1016.37031) Full Text: DOI