Duignan, Nathan; Dullin, Holger R. On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the planar four-body problem. (English) Zbl 1473.70023 Nonlinearity 34, No. 7, 4944-4982 (2021). MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{N. Duignan} and \textit{H. R. Dullin}, Nonlinearity 34, No. 7, 4944--4982 (2021; Zbl 1473.70023) Full Text: DOI arXiv
Alonso, Jaume; Dullin, Holger R.; Hohloch, Sonja Symplectic classification of coupled angular momenta. (English) Zbl 1435.37081 Nonlinearity 33, No. 1, 417-468 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 37J35 37J06 37J20 37J25 PDFBibTeX XMLCite \textit{J. Alonso} et al., Nonlinearity 33, No. 1, 417--468 (2020; Zbl 1435.37081) Full Text: DOI arXiv
Duignan, Nathan; Dullin, Holger R. Regularisation for planar vector fields. (English) Zbl 1428.37027 Nonlinearity 33, No. 1, 106-138 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C83 37C10 37C15 37C25 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{N. Duignan} and \textit{H. R. Dullin}, Nonlinearity 33, No. 1, 106--138 (2020; Zbl 1428.37027) Full Text: DOI arXiv
Martynchuk, N.; Dullin, H. R.; Efstathiou, K.; Waalkens, H. Scattering invariants in Euler’s two-center problem. (English) Zbl 1410.37058 Nonlinearity 32, No. 4, 1296-1326 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 34L25 57R22 70H05 37N05 70F15 70F16 PDFBibTeX XMLCite \textit{N. Martynchuk} et al., Nonlinearity 32, No. 4, 1296--1326 (2019; Zbl 1410.37058) Full Text: DOI arXiv
Dullin, Holger R.; Montgomery, Richard Syzygies in the two center problem. (English) Zbl 1358.37029 Nonlinearity 29, No. 4, 1212-1237 (2016). Reviewer: Giuseppe Gaeta (Milano) MSC: 37B10 37J35 70F07 37J45 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{R. Montgomery}, Nonlinearity 29, No. 4, 1212--1237 (2016; Zbl 1358.37029) Full Text: DOI arXiv
Dullin, Holger R. The Lie-Poisson structure of the reduced \(n\)-body problem. (English) Zbl 1268.70011 Nonlinearity 26, No. 6, 1565-1579 (2013). MSC: 70F10 37J15 65P10 PDFBibTeX XMLCite \textit{H. R. Dullin}, Nonlinearity 26, No. 6, 1565--1579 (2013; Zbl 1268.70011) Full Text: DOI arXiv
Dullin, H. R.; Lomelí, H. E.; Meiss, J. D. Symmetry reduction by lifting for maps. (English) Zbl 1259.37034 Nonlinearity 25, No. 6, 1709-1733 (2012). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J15 37C80 37C15 58D19 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Nonlinearity 25, No. 6, 1709--1733 (2012; Zbl 1259.37034) Full Text: DOI arXiv
Dullin, Holger R.; Vũ Ngọc San Vanishing twist near focus-focus points. (English) Zbl 1068.37039 Nonlinearity 17, No. 5, 1777-1785 (2004). MSC: 37J35 37J15 37J40 70H06 70H08 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{Vũ Ngọc San}, Nonlinearity 17, No. 5, 1777--1785 (2004; Zbl 1068.37039) Full Text: DOI arXiv
Dullin, Holger R.; Bäcker, Arnd About ergodicity in the family of limaçon billiards. (English) Zbl 1001.37031 Nonlinearity 14, No. 6, 1673-1687 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37D50 65P30 37E99 37J99 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. Bäcker}, Nonlinearity 14, No. 6, 1673--1687 (2001; Zbl 1001.37031) Full Text: DOI arXiv
Dullin, H. R.; Meiss, J. D.; Sterling, D. Generic twistless bifurcations. (English) Zbl 1005.37024 Nonlinearity 13, No. 1, 203-224 (2000). MSC: 37J20 37J10 70H05 PDFBibTeX XMLCite \textit{H. R. Dullin} et al., Nonlinearity 13, No. 1, 203--224 (2000; Zbl 1005.37024) Full Text: DOI arXiv
Dullin, Holger R. Linear stability in billiards with potential. (English) Zbl 0896.58029 Nonlinearity 11, No. 1, 151-173 (1998). MSC: 37J99 37B99 PDFBibTeX XMLCite \textit{H. R. Dullin}, Nonlinearity 11, No. 1, 151--173 (1998; Zbl 0896.58029) Full Text: DOI arXiv