Martynchuk, N.; Broer, H. W.; Efstathiou, K. Recent advances in the monodromy theory of integrable Hamiltonian systems. (English) Zbl 1509.37067 Indag. Math., New Ser. 32, No. 1, 193-223 (2021). MSC: 37J30 37J35 81S08 81S10 81S05 PDFBibTeX XMLCite \textit{N. Martynchuk} et al., Indag. Math., New Ser. 32, No. 1, 193--223 (2021; Zbl 1509.37067) 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
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
Martynchuk, N.; Broer, H. W.; Efstathiou, K. Hamiltonian monodromy and Morse theory. (English) Zbl 1471.37058 Commun. Math. Phys. 375, No. 2, 1373-1392 (2020). Reviewer: Olga Lukina (Wien) MSC: 37J35 37J30 37J06 37J39 70H05 PDFBibTeX XMLCite \textit{N. Martynchuk} et al., Commun. Math. Phys. 375, No. 2, 1373--1392 (2020; Zbl 1471.37058) Full Text: DOI arXiv
Broer, Henk W.; Hanßmann, Heinz Bifurcations in volume-preserving systems. (English) Zbl 1422.37035 Acta Appl. Math. 162, 3-32 (2019). MSC: 37J20 37J40 37C10 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{H. Hanßmann}, Acta Appl. Math. 162, 3--32 (2019; Zbl 1422.37035) Full Text: DOI
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
Broer, Henk; Zhao, Lei De Sitter’s theory of Galilean satellites. (English) Zbl 1374.70028 Celest. Mech. Dyn. Astron. 127, No. 1, 95-119 (2017). MSC: 70F10 70F15 70H08 70K45 70K65 PDFBibTeX XMLCite \textit{H. Broer} and \textit{L. Zhao}, Celest. Mech. Dyn. Astron. 127, No. 1, 95--119 (2017; Zbl 1374.70028) Full Text: DOI arXiv Link
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
Jardón-Kojakhmetov, H.; Broer, Henk W.; Roussarie, R. Analysis of a slow-fast system near a cusp singularity. (English) Zbl 1341.34059 J. Differ. Equations 260, No. 4, 3785-3843 (2016). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E15 34C20 PDFBibTeX XMLCite \textit{H. Jardón-Kojakhmetov} et al., J. Differ. Equations 260, No. 4, 3785--3843 (2016; Zbl 1341.34059) Full Text: DOI arXiv
Efstathiou, Konstantinos; Liu, Xia; Broer, Henk W. The boundary-Hopf-fold bifurcation in Filippov systems. (English) Zbl 1365.34036 SIAM J. Appl. Dyn. Syst. 14, No. 2, 914-941 (2015). MSC: 34A60 37G15 34C23 34C20 92D25 PDFBibTeX XMLCite \textit{K. Efstathiou} et al., SIAM J. Appl. Dyn. Syst. 14, No. 2, 914--941 (2015; Zbl 1365.34036) Full Text: DOI Link
Jardón-Kojakhmetov, H.; Broer, Henk W. Polynomial normal forms of constrained differential equations with three parameters. (English) Zbl 1305.34056 J. Differ. Equations 257, No. 4, 1012-1055 (2014). Reviewer: Werner M. Seiler (Kassel) MSC: 34C20 34A09 34A26 34E15 PDFBibTeX XMLCite \textit{H. Jardón-Kojakhmetov} and \textit{H. W. Broer}, J. Differ. Equations 257, No. 4, 1012--1055 (2014; Zbl 1305.34056) Full Text: DOI arXiv
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
Broer, Henk W.; Vegter, Gert Resonance and singularities. (English) Zbl 1348.37070 Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 89-126 (2013). MSC: 37E30 37E10 37C10 34F15 70K28 70K30 34C10 34C28 34C23 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{G. Vegter}, Springer Proc. Math. Stat. 54, 89--126 (2013; Zbl 1348.37070) Full Text: DOI
Broer, Henk W.; Kaper, Tasso J.; Krupa, Martin Geometric desingularization of a cusp singularity in slow-fast systems with applications to Zeeman’s examples. (English) Zbl 1288.34051 J. Dyn. Differ. Equations 25, No. 4, 925-958 (2013). MSC: 34E15 34C05 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Dyn. Differ. Equations 25, No. 4, 925--958 (2013; Zbl 1288.34051) Full Text: DOI
Efstathiou, K.; Broer, H. W. Uncovering fractional monodromy. (English) Zbl 1343.37040 Commun. Math. Phys. 324, No. 2, 549-588 (2013). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J15 37J35 70H03 PDFBibTeX XMLCite \textit{K. Efstathiou} and \textit{H. W. Broer}, Commun. Math. Phys. 324, No. 2, 549--588 (2013; Zbl 1343.37040) Full Text: DOI
Broer, Henk W. Resonance and fractal geometry. (English) Zbl 1356.70028 Acta Appl. Math. 120, No. 1, 61-86 (2012). MSC: 70K30 28A80 70K42 70K50 34C15 34C23 37N05 PDFBibTeX XMLCite \textit{H. W. Broer}, Acta Appl. Math. 120, No. 1, 61--86 (2012; Zbl 1356.70028) Full Text: DOI
Holland, Mark P.; Vitolo, Renato; Rabassa, Pau; Sterk, Alef E.; Broer, Henk W. Extreme value laws in dynamical systems under physical observables. (English) Zbl 1306.37034 Physica D 241, No. 5, 497-513 (2012). MSC: 37D45 37D20 37A25 PDFBibTeX XMLCite \textit{M. P. Holland} et al., Physica D 241, No. 5, 497--513 (2012; Zbl 1306.37034) Full Text: DOI arXiv Link
Beersma, D. G. M.; Broer, H. W.; Efstathiou, K.; Gargar, K. A.; Hoveijn, I. Pacer cell response to periodic Zeitgebers. (English) Zbl 1227.92004 Physica D 240, No. 19, 1516-1527 (2011). MSC: 92B25 37N25 PDFBibTeX XMLCite \textit{D. G. M. Beersma} et al., Physica D 240, No. 19, 1516--1527 (2011; Zbl 1227.92004) Full Text: DOI arXiv Link
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
Broer, Henk W.; Holtman, Sijbo J.; Vegter, Gert; Vitolo, Renato Dynamics and geometry near resonant bifurcations. (English) Zbl 1218.37064 Regul. Chaotic Dyn. 16, No. 1-2, 39-50 (2011). Reviewer: Fengqin Zhang (Yuncheng) MSC: 37G15 34C25 34C29 37G40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Regul. Chaotic Dyn. 16, No. 1--2, 39--50 (2011; Zbl 1218.37064) Full Text: DOI
Broer, H. W.; Holtman, S. J.; Vegter, G. Recognition of resonance type in periodically forced oscillators. (English) Zbl 1205.37063 Physica D 239, No. 17, 1627-1636 (2010). Reviewer: Paul Georgescu (Iaşi) MSC: 37G15 34C25 37G40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Physica D 239, No. 17, 1627--1636 (2010; Zbl 1205.37063) Full Text: DOI Link
Broer, Henk Do Diophantine vectors form a Cantor bouquet? (English) Zbl 1195.37027 J. Difference Equ. Appl. 16, No. 5-6, 433-434 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 37F10 11J25 54E52 54G05 PDFBibTeX XMLCite \textit{H. Broer}, J. Difference Equ. Appl. 16, No. 5--6, 433--434 (2010; Zbl 1195.37027) Full Text: DOI Link
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A. New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. (English) Zbl 1186.37101 Physica D 239, No. 10, 702-718 (2010). MSC: 37N10 76A10 37G15 PDFBibTeX XMLCite \textit{A. E. Sterk} et al., Physica D 239, No. 10, 702--718 (2010; Zbl 1186.37101) Full Text: DOI Link
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz; Vanderbauwhede, André Quasi-periodic stability of normally resonant tori. (English) Zbl 1156.37318 Physica D 238, No. 3, 309-318 (2009). MSC: 37J40 37J25 70H05 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Physica D 238, No. 3, 309--318 (2009; Zbl 1156.37318) Full Text: DOI arXiv Link
Broer, Henk; Simó, Carles; Vitolo, Renato Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. (English) Zbl 1165.37017 Physica D 237, No. 13, 1773-1799 (2008). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37G10 37C05 37E99 PDFBibTeX XMLCite \textit{H. Broer} et al., Physica D 237, No. 13, 1773--1799 (2008; Zbl 1165.37017) Full Text: DOI Link
Broer, Henk W.; Ciocci, M. Cristina; Hanßmann, Heinz The quasi-periodic reversible Hopf bifurcation. (English) Zbl 1141.37342 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 8, 2605-2623 (2007). MSC: 37G40 34C25 37J40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 8, 2605--2623 (2007; Zbl 1141.37342) 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
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, Henk W. KAM theory: The legacy of Kolmogorov’s 1954 paper. (English) Zbl 1050.37030 Bull. Am. Math. Soc., New Ser. 41, No. 4, 507-521 (2004). MSC: 37J40 37-03 70H08 34C15 PDFBibTeX XMLCite \textit{H. W. Broer}, Bull. Am. Math. Soc., New Ser. 41, No. 4, 507--521 (2004; Zbl 1050.37030) Full Text: DOI
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.; Hoveijn, I.; Van Noort, M. A reversible bifurcation analysis of the inverted pendulum. (English) Zbl 1194.70029 Physica D 112, No. 1-2, 50-63 (1998). MSC: 70H05 34C20 70H33 70K40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Physica D 112, No. 1--2, 50--63 (1998; Zbl 1194.70029) Full Text: DOI
Broer, Henk; Simó, Carles Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. (English) Zbl 0917.34019 Bol. Soc. Bras. Mat., Nova Sér. 29, No. 2, 253-293 (1998). MSC: 34B30 34C29 34C23 34C27 PDFBibTeX XMLCite \textit{H. Broer} and \textit{C. Simó}, Bol. Soc. Bras. Mat., Nova Sér. 29, No. 2, 253--293 (1998; Zbl 0917.34019) Full Text: DOI
Broer, Henk; Roussarrie, Robert; Simó, Carles Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. (English) Zbl 0876.58032 Ergodic Theory Dyn. Syst. 16, No. 6, 1147-1172 (1996). Reviewer: C.Chicone (Columbia) MSC: 37G99 37G05 37A99 PDFBibTeX XMLCite \textit{H. Broer} et al., Ergodic Theory Dyn. Syst. 16, No. 6, 1147--1172 (1996; Zbl 0876.58032) Full Text: DOI
Broer, H. W.; Huitema, G. B. Unfoldings of quasi-periodic tori in reversible systems. (English) Zbl 0820.58050 J. Dyn. Differ. Equations 7, No. 1, 191-212 (1995). Reviewer: E.Ershov (St.Peterburg) MSC: 37J40 37C55 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{G. B. Huitema}, J. Dyn. Differ. Equations 7, No. 1, 191--212 (1995; Zbl 0820.58050) Full Text: DOI
Broer, Henk; Takens, Floris Mixed spectra and rotational symmetry. (English) Zbl 0789.58050 Arch. Ration. Mech. Anal. 124, No. 1, 13-42 (1993). Reviewer: J.Szilasi (Debrecen) MSC: 37C70 37G99 37A30 PDFBibTeX XMLCite \textit{H. Broer} and \textit{F. Takens}, Arch. Ration. Mech. Anal. 124, No. 1, 13--42 (1993; Zbl 0789.58050) Full Text: DOI
Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G. A normally elliptic Hamiltonian bifurcation. (English) Zbl 0805.58047 Z. Angew. Math. Phys. 44, No. 3, 389-432 (1993). Reviewer: D.Erle (Dortmund) MSC: 37G99 37J99 37G05 37J40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Z. Angew. Math. Phys. 44, No. 3, 389--432 (1993; Zbl 0805.58047) Full Text: DOI
Broer, H. W.; Huitema, G. B. A proof of the isoenergetic KAM-theorem from the “ordinary” one. (English) Zbl 0721.58020 J. Differ. Equations 90, No. 1, 52-60 (1991). Reviewer: M.Puta (Timişoara) MSC: 37J99 70H05 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{G. B. Huitema}, J. Differ. Equations 90, No. 1, 52--60 (1991; Zbl 0721.58020) Full Text: DOI
Broer, H. W.; Tangerman, F. M. From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems. (English) Zbl 0582.58019 Ergodic Theory Dyn. Syst. 6, 345-362 (1986). MSC: 37A99 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{F. M. Tangerman}, Ergodic Theory Dyn. Syst. 6, 345--362 (1986; Zbl 0582.58019) Full Text: DOI
Broer, H. W.; Vegter, G. Subordinate Šil’nikov bifurcations near some singularities of vector fields having low codimension. (English) Zbl 0553.58024 Ergodic Theory Dyn. Syst. 4, 509-525 (1984). MSC: 37G99 37J40 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{G. Vegter}, Ergodic Theory Dyn. Syst. 4, 509--525 (1984; Zbl 0553.58024) Full Text: DOI