Lukina, O. V.; Takens, F.; Broer, H. W. Global properties of integrable Hamiltonian systems. (English) Zbl 1229.37052 Regul. Chaotic Dyn. 13, No. 6, 602-644 (2008). MSC: 37J15 37J05 37J35 57R22 PDFBibTeX XMLCite \textit{O. V. Lukina} et al., Regul. Chaotic Dyn. 13, No. 6, 602--644 (2008; Zbl 1229.37052) Full Text: DOI
Broer, Henk W.; Hanßmann, Heinz; You, Jiangong Umbilical torus bifurcations in Hamiltonian systems. (English) Zbl 1085.37048 J. Differ. Equations 222, No. 1, 233-262 (2006). MSC: 37J40 37J20 58K35 37N05 70E05 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Differ. Equations 222, No. 1, 233--262 (2006; Zbl 1085.37048) Full Text: DOI Link
Broer, H. W.; Hoveijn, I.; van Noort, M.; Vegter, G. The inverted pendulum: A singularity theory approach. (English) Zbl 0936.34029 J. Differ. Equations 157, No. 1, 120-149 (1999). Reviewer: Jiancheng Zou (Beijing) MSC: 34C23 37G05 34D15 37J20 37J25 37J40 58K99 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Differ. Equations 157, No. 1, 120--149 (1999; Zbl 0936.34029) Full Text: DOI Link
Broer, H. W.; Osinga, H. M.; Vegter, G. Computing a normally hyperbolic invariant manifold of saddle type. (English) Zbl 0861.65068 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24–27, 1995. Atlanta, GA: Dynamic Publishers. 83-90 (1996). MSC: 65L99 37J40 57R30 PDFBibTeX XMLCite \textit{H. W. Broer} et al., in: Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24--27, 1995. Atlanta, GA: Dynamic Publishers. 83--90 (1996; Zbl 0861.65068)
Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G. The Hamiltonian double-zero eigenvalue. (English) Zbl 0840.58018 Langford, William F. (ed.) et al., Normal forms and homoclinic chaos. Proceedings of a Workshop, held at The Fields Institute for Research in Mathematical Sciences, Waterloo, Canada, November 13-16, 1992. Providence, RI: American Mathematical Society. Fields Inst. Commun. 4, 1-19 (1995). Reviewer: C.Chicone (Columbia) MSC: 37J99 37G99 58K35 37G05 34C15 34C20 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Fields Inst. Commun. 4, 1--19 (1995; Zbl 0840.58018)
Broer, Henk Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. (English) Zbl 0504.58031 Dynamical systems and turbulence, Proc. Symp., Coventry 1980, Lect. Notes Math. 898, 54-74 (1981). MSC: 37G99 37C80 17B70 37J99 PDFBibTeX XML