Gerlach, Raphael; Ziessler, Adrian; Eckhardt, Bruno; Dellnitz, Michael A set-oriented path following method for the approximation of parameter dependent attractors. (English) Zbl 1439.37082 SIAM J. Appl. Dyn. Syst. 19, No. 1, 705-723 (2020). MSC: 37M22 37M20 65P30 34D45 37G35 76F06 76F10 PDFBibTeX XMLCite \textit{R. Gerlach} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 705--723 (2020; Zbl 1439.37082) Full Text: DOI arXiv
Sahai, Tuhin; Ziessler, Adrian; Klus, Stefan; Dellnitz, Michael Continuous relaxations for the traveling salesman problem. (English) Zbl 1430.37126 Nonlinear Dyn. 97, No. 4, 2003-2022 (2019). MSC: 37N40 90C27 PDFBibTeX XMLCite \textit{T. Sahai} et al., Nonlinear Dyn. 97, No. 4, 2003--2022 (2019; Zbl 1430.37126) Full Text: DOI arXiv
Dellnitz, Michael; Klus, Stefan; Ziessler, Adrian A set-oriented numerical approach for dynamical systems with parameter uncertainty. (English) Zbl 1357.65308 SIAM J. Appl. Dyn. Syst. 16, No. 1, 120-138 (2017). MSC: 65P20 37D45 37M15 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 120--138 (2017; Zbl 1357.65308) Full Text: DOI arXiv
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael On the computation of attractors for delay differential equations. (English) Zbl 1358.34081 J. Comput. Dyn. 3, No. 1, 93-112 (2016). Reviewer: Eugen Stumpf (Hamburg) MSC: 34K28 34K19 34K23 PDFBibTeX XMLCite \textit{A. Ziessler} et al., J. Comput. Dyn. 3, No. 1, 93--112 (2016; Zbl 1358.34081) Full Text: DOI arXiv
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G. The computation of convex invariant sets via Newton’s method. (English) Zbl 1306.65207 J. Comput. Dyn. 1, No. 1, 39-69 (2014). MSC: 65J15 37M99 PDFBibTeX XMLCite \textit{R. Baier} et al., J. Comput. Dyn. 1, No. 1, 39--69 (2014; Zbl 1306.65207) Full Text: DOI
Zanzottera, A.; Mingotti, G.; Castelli, Roberto; Dellnitz, Michael Intersecting invariant manifolds in spatial restricted three-body problems: design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario. (English) Zbl 1242.70019 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 832-843 (2012). MSC: 70F07 PDFBibTeX XMLCite \textit{A. Zanzottera} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 832--843 (2012; Zbl 1242.70019) Full Text: DOI
Padberg, Kathrin; Thiere, Bianca; Preis, Robert; Dellnitz, Michael Local expansion concepts for detecting transport barriers in dynamical systems. (English) Zbl 1221.37163 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4176-4190 (2009). MSC: 37M05 37B10 37C70 70F07 86A05 PDFBibTeX XMLCite \textit{K. Padberg} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4176--4190 (2009; Zbl 1221.37163) Full Text: DOI
Dellnitz, Michael; Froyland, Gary; Horenkamp, Christian; Padberg, Kathrin On the approximation of transport phenomena - a dynamical systems approach. (English) Zbl 1178.37118 GAMM-Mitt. 32, No. 1, 47-60 (2009). MSC: 37M25 37N05 37N10 37N30 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., GAMM-Mitt. 32, No. 1, 47--60 (2009; Zbl 1178.37118) Full Text: DOI
Dellnitz, M.; Grubits, K. A.; Marsden, J. E.; Padberg, K.; Thiere, B. Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields. (English) Zbl 1077.37522 Regul. Chaotic Dyn. 10, No. 2, 173-192 (2005). MSC: 37N25 37M05 37M25 37J15 92E20 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., Regul. Chaotic Dyn. 10, No. 2, 173--192 (2005; Zbl 1077.37522) Full Text: DOI Link
Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O. A survey of methods for computing (un)stable manifolds of vector fields. (English) Zbl 1086.34002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 763-791 (2005). Reviewer: Sergiy Yanchuk (Berlin) MSC: 34-02 34C30 65L99 34C28 37C10 PDFBibTeX XMLCite \textit{B. Krauskopf} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 763--791 (2005; Zbl 1086.34002) Full Text: DOI
Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca Transport in dynamical astronomy and multibody problems. (English) Zbl 1085.70012 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 699-727 (2005). MSC: 70F10 70F15 70-08 37N05 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 699--727 (2005; Zbl 1085.70012) Full Text: DOI
Dellnitz, Michael; Junge, Oliver Set oriented numerical methods for dynamical systems. (English) Zbl 1036.37030 Fiedler, Bernold (ed.), Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier (ISBN 0-444-50168-1/hbk). 221-264 (2002). Reviewer: Lars Grüne (Bayreuth) MSC: 37M25 65P99 PDFBibTeX XMLCite \textit{M. Dellnitz} and \textit{O. Junge}, in: Handbook of dynamical systems. Volume 2. Amsterdam: Elsevier. 221--264 (2002; Zbl 1036.37030)
Dellnitz, Michael; Froyland, Gary; Junge, Oliver The algorithms behind GAIO – set oriented numerical methods for dynamical systems. (English) Zbl 0998.65126 Fiedler, Bernold (ed.), Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 145-174, 805-807 (2001). MSC: 65P40 37C70 37M25 37C15 37C40 37C50 PDFBibTeX XMLCite \textit{M. Dellnitz} et al., in: Ergodic theory, analysis, and efficient simulation of dynamical systems. Berlin: Springer. 145--174, 805--807 (2001; Zbl 0998.65126)