Yuan, Qigang; Cheng, Zhibo; Li, Xueping Dynamics of periodic solution to a electrostatic micro-electro-mechanical system. (English) Zbl 1508.34056 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106828, 12 p. (2023). Reviewer: Carlo Laing (Auckland) MSC: 34C60 70G60 34C15 34C23 34C25 PDFBibTeX XMLCite \textit{Q. Yuan} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106828, 12 p. (2023; Zbl 1508.34056) Full Text: DOI
Kreusser, L. M.; McLachlan, R. I.; Offen, C. Detection of high codimensional bifurcations in variational PDEs. (English) Zbl 1487.37097 Nonlinearity 33, No. 5, 2335-2363 (2020). MSC: 37M20 65P30 47J15 35B32 PDFBibTeX XMLCite \textit{L. M. Kreusser} et al., Nonlinearity 33, No. 5, 2335--2363 (2020; Zbl 1487.37097) Full Text: DOI arXiv
Witting, Katrin; Molo, Mirko Hessel-Von; Dellnitz, Michael Structural properties of Pareto fronts: the occurrence of dents in classical and parametric multiobjective optimization problems. (English) Zbl 1477.90099 Junge, Oliver (ed.) et al., Advances in dynamics, optimization and computation. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Cham: Springer. Stud. Syst. Decis. Control 304, 315-336 (2020). MSC: 90C29 90C31 37N40 65K05 PDFBibTeX XMLCite \textit{K. Witting} et al., Stud. Syst. Decis. Control 304, 315--336 (2020; Zbl 1477.90099) Full Text: DOI
Renson, Ludovic; Barton, David A. W.; Neild, Simon A. Experimental tracking of limit-point bifurcations and backbone curves using control-based continuation. (English) Zbl 1358.37115 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1730002, 19 p. (2017). MSC: 37M99 37N35 37G99 PDFBibTeX XMLCite \textit{L. Renson} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1730002, 19 p. (2017; Zbl 1358.37115) Full Text: DOI
Mitry, John; Wechselberger, Martin Folded saddles and faux canards. (English) Zbl 1418.34117 SIAM J. Appl. Dyn. Syst. 16, No. 1, 546-596 (2017). MSC: 34E17 34C23 34C45 37D10 37G25 65L10 65L11 PDFBibTeX XMLCite \textit{J. Mitry} and \textit{M. Wechselberger}, SIAM J. Appl. Dyn. Syst. 16, No. 1, 546--596 (2017; Zbl 1418.34117) Full Text: DOI
Zgliczyński, Piotr Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. (English) Zbl 1326.35029 J. Comput. Dyn. 2, No. 1, 95-142 (2015). MSC: 35B32 37G10 65G20 PDFBibTeX XMLCite \textit{P. Zgliczyński}, J. Comput. Dyn. 2, No. 1, 95--142 (2015; Zbl 1326.35029) Full Text: DOI
Kristiansen, K. Uldall Computation of saddle-type slow manifolds using iterative methods. (English) Zbl 1323.34025 SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189-1227 (2015). MSC: 34A45 34E15 34E13 37M99 34C45 34C37 92C20 PDFBibTeX XMLCite \textit{K. U. Kristiansen}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 1189--1227 (2015; Zbl 1323.34025) Full Text: DOI arXiv
Barrio, R.; Blesa, F.; Dena, A.; Serrano, S. Qualitative and numerical analysis of the Rössler model: bifurcations of equilibria. (English) Zbl 1236.65154 Comput. Math. Appl. 62, No. 11, 4140-4150 (2011). MSC: 65P30 34C23 37M99 PDFBibTeX XMLCite \textit{R. Barrio} et al., Comput. Math. Appl. 62, No. 11, 4140--4150 (2011; Zbl 1236.65154) Full Text: DOI
Bordyugov, Grigory; Fischer, Nils; Engel, Harald; Manz, Niklas; Steinbock, Oliver Anomalous dispersion in the Belousov-Zhabotinsky reaction: experiments and modeling. (English) Zbl 1231.37048 Physica D 239, No. 11, 766-775 (2010). MSC: 37N20 37L10 37C29 35K57 PDFBibTeX XMLCite \textit{G. Bordyugov} et al., Physica D 239, No. 11, 766--775 (2010; Zbl 1231.37048) Full Text: DOI
Wechselberger, Martin; Weckesser, Warren Bifurcations of mixed-mode oscillations in a stellate cell model. (English) Zbl 1177.37086 Physica D 238, No. 16, 1598-1614 (2009). Reviewer: Didier Henrion (Toulouse) MSC: 37N25 37G15 92C05 92C37 PDFBibTeX XMLCite \textit{M. Wechselberger} and \textit{W. Weckesser}, Physica D 238, No. 16, 1598--1614 (2009; Zbl 1177.37086) Full Text: DOI
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B. New features of the software MatCont for bifurcation analysis of dynamical systems. (English) Zbl 1158.34302 Math. Comput. Model. Dyn. Syst. 14, No. 2, 147-175 (2008). MSC: 34-04 34C23 34C20 37M20 65P30 PDFBibTeX XMLCite \textit{A. Dhooge} et al., Math. Comput. Model. Dyn. Syst. 14, No. 2, 147--175 (2008; Zbl 1158.34302) Full Text: DOI
Rasmussen, Bryan; Dieci, Luca A geometrical method for the approximation of invariant tori. (English) Zbl 1139.37013 J. Comput. Appl. Math. 216, No. 2, 388-412 (2008). MSC: 37C55 37M99 65L05 37J45 37J25 PDFBibTeX XMLCite \textit{B. Rasmussen} and \textit{L. Dieci}, J. Comput. Appl. Math. 216, No. 2, 388--412 (2008; Zbl 1139.37013) Full Text: DOI
Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. Numerical methods for two-parameter local bifurcation analysis of maps. (English) Zbl 1155.65397 SIAM J. Sci. Comput. 29, No. 6, 2644-2667 (2007). MSC: 65P30 37G05 37M20 PDFBibTeX XMLCite \textit{W. Govaerts} et al., SIAM J. Sci. Comput. 29, No. 6, 2644--2667 (2007; Zbl 1155.65397) Full Text: DOI Link
Muñoz-Almaraz, F. J.; Freire, E.; Galán-Vioque, J. Bifurcation behavior of the Furuta pendulum. (English) Zbl 1139.70011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 8, 2571-2578 (2007). MSC: 70K50 37N05 PDFBibTeX XMLCite \textit{F. J. Muñoz-Almaraz} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 8, 2571--2578 (2007; Zbl 1139.70011) Full Text: DOI
Galán-Vioque, Jorge; Vanderbauwhede, André Continuation of periodic orbits in symmetric Hamiltonian systems. (English) Zbl 1129.37030 Krauskopf, Bernd (ed.) et al., Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer (ISBN 978-1-4020-6355-8/hbk). Understanding Complex Systems, 269-299 (2007). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J15 37J45 37N05 70H05 70F07 PDFBibTeX XMLCite \textit{J. Galán-Vioque} and \textit{A. Vanderbauwhede}, in: Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer. 269--299 (2007; Zbl 1129.37030)
Muñoz-Almaraz, Francisco Javier; Freire, Emilio; Galan-Vioque, Jorge; Vanderbauwhede, Andre Continuation of normal doubly symmetric orbits in conservative reversible systems. (English) Zbl 1162.37024 Celest. Mech. Dyn. Astron. 97, No. 1, 17-47 (2007). MSC: 37J45 37M99 70-08 70F10 70H12 PDFBibTeX XMLCite \textit{F. J. Muñoz-Almaraz} et al., Celest. Mech. Dyn. Astron. 97, No. 1, 17--47 (2007; Zbl 1162.37024) Full Text: DOI
Bordiougov, Grigori; Engel, Harald From trigger to phase waves and back again. (English) Zbl 1094.35061 Physica D 215, No. 1, 25-37 (2006). Reviewer: Christian Pötzsche (Minneapolis) MSC: 35K57 35B35 37L99 37N25 92B05 92C15 PDFBibTeX XMLCite \textit{G. Bordiougov} and \textit{H. Engel}, Physica D 215, No. 1, 25--37 (2006; Zbl 1094.35061) Full Text: DOI
Van Leemput, P.; Lust, K. W. A.; Kevrekidis, I. G. Coarse-grained numerical bifurcation analysis of lattice Boltzmann models. (English) Zbl 1107.82061 Physica D 210, No. 1-2, 58-76 (2005). MSC: 82C80 37L60 PDFBibTeX XMLCite \textit{P. Van Leemput} et al., Physica D 210, No. 1--2, 58--76 (2005; Zbl 1107.82061) Full Text: DOI Link
Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. Numerical continuation of branch points of equilibria and periodic orbits. (English) Zbl 1081.37054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 841-860 (2005). MSC: 37M20 37C27 34C05 37N99 37G40 PDFBibTeX XMLCite \textit{E. J. Doedel} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 841--860 (2005; Zbl 1081.37054) Full Text: DOI
Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick Numerical continuation of bifurcations of limit cycles in MATLAB. (English) Zbl 1087.65118 SIAM J. Sci. Comput. 27, No. 1, 231-252 (2005). MSC: 65P30 65Y15 37G15 37M20 34C05 34C23 65L05 PDFBibTeX XMLCite \textit{W. Govaerts} et al., SIAM J. Sci. Comput. 27, No. 1, 231--252 (2005; Zbl 1087.65118) Full Text: DOI
Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A. Numerical continuation of branch points of limit cycles in MATCONT. (English) Zbl 1086.65538 Bubak, Marian (ed.) et al., Computational science – ICCS 2004. 4th international conference, Kraków, Poland, June 6–9, 2004. Proceedings, Part II. Berlin: Springer (ISBN 3-540-22115-8/pbk). Lecture Notes in Computer Science 3037, 42-49 (2004). MSC: 65P30 37G15 37M20 PDFBibTeX XMLCite \textit{A. Dhooge} et al., Lect. Notes Comput. Sci. 3037, 42--49 (2004; Zbl 1086.65538) Full Text: DOI