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(2006). Upper bounds on the Bisection Width of 3- and 4-regular Graphs. <i>Journal of Discrete Algorithms</i>, 475–498. <a href=\"https://doi.org/10.1016/j.jda.2005.12.009\">https://doi.org/10.1016/j.jda.2005.12.009</a>","mla":"Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” <i>Journal of Discrete Algorithms</i>, 2006, pp. 475–98, doi:<a href=\"https://doi.org/10.1016/j.jda.2005.12.009\">10.1016/j.jda.2005.12.009</a>.","bibtex":"@article{Monien_Preis_2006, title={Upper bounds on the Bisection Width of 3- and 4-regular Graphs}, DOI={<a href=\"https://doi.org/10.1016/j.jda.2005.12.009\">10.1016/j.jda.2005.12.009</a>}, journal={Journal of Discrete Algorithms}, author={Monien, Burkhard and Preis, Robert}, year={2006}, pages={475–498} }","short":"B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.","ama":"Monien B, Preis R. Upper bounds on the Bisection Width of 3- and 4-regular Graphs. <i>Journal of Discrete Algorithms</i>. 2006:475-498. doi:<a href=\"https://doi.org/10.1016/j.jda.2005.12.009\">10.1016/j.jda.2005.12.009</a>","ieee":"B. Monien and R. Preis, “Upper bounds on the Bisection Width of 3- and 4-regular Graphs,” <i>Journal of Discrete Algorithms</i>, pp. 475–498, 2006.","chicago":"Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” <i>Journal of Discrete Algorithms</i>, 2006, 475–98. <a href=\"https://doi.org/10.1016/j.jda.2005.12.009\">https://doi.org/10.1016/j.jda.2005.12.009</a>."},"page":"475-498","date_updated":"2022-01-06T06:52:53Z","date_created":"2020-04-16T08:59:15Z","author":[{"full_name":"Monien, Burkhard","last_name":"Monien","first_name":"Burkhard"},{"last_name":"Preis","full_name":"Preis, Robert","first_name":"Robert"}],"title":"Upper bounds on the Bisection Width of 3- and 4-regular Graphs","doi":"10.1016/j.jda.2005.12.009"},{"status":"public","publication":"Journal of Global Optimization","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16671","page":"569-587","citation":{"ama":"Sertl S, Dellnitz M. Global Optimization using a Dynamical Systems Approach. <i>Journal of Global Optimization</i>. 2006:569-587. doi:<a href=\"https://doi.org/10.1007/s10898-005-4384-5\">10.1007/s10898-005-4384-5</a>","ieee":"S. Sertl and M. Dellnitz, “Global Optimization using a Dynamical Systems Approach,” <i>Journal of Global Optimization</i>, pp. 569–587, 2006.","chicago":"Sertl, Stefan, and Michael Dellnitz. “Global Optimization Using a Dynamical Systems Approach.” <i>Journal of Global Optimization</i>, 2006, 569–87. <a href=\"https://doi.org/10.1007/s10898-005-4384-5\">https://doi.org/10.1007/s10898-005-4384-5</a>.","mla":"Sertl, Stefan, and Michael Dellnitz. “Global Optimization Using a Dynamical Systems Approach.” <i>Journal of Global Optimization</i>, 2006, pp. 569–87, doi:<a href=\"https://doi.org/10.1007/s10898-005-4384-5\">10.1007/s10898-005-4384-5</a>.","short":"S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.","bibtex":"@article{Sertl_Dellnitz_2006, title={Global Optimization using a Dynamical Systems Approach}, DOI={<a href=\"https://doi.org/10.1007/s10898-005-4384-5\">10.1007/s10898-005-4384-5</a>}, journal={Journal of Global Optimization}, author={Sertl, Stefan and Dellnitz, Michael}, year={2006}, pages={569–587} }","apa":"Sertl, S., &#38; Dellnitz, M. (2006). Global Optimization using a Dynamical Systems Approach. <i>Journal of Global Optimization</i>, 569–587. <a href=\"https://doi.org/10.1007/s10898-005-4384-5\">https://doi.org/10.1007/s10898-005-4384-5</a>"},"year":"2006","publication_identifier":{"issn":["0925-5001","1573-2916"]},"publication_status":"published","doi":"10.1007/s10898-005-4384-5","title":"Global Optimization using a Dynamical Systems Approach","date_created":"2020-04-16T10:07:46Z","author":[{"first_name":"Stefan","full_name":"Sertl, Stefan","last_name":"Sertl"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"}],"date_updated":"2022-01-06T06:52:54Z"},{"year":"2006","citation":{"bibtex":"@article{Thiere_2006, title={Return Time Dynamics as a Tool for Finding Almost Invariant Sets}, DOI={<a href=\"https://doi.org/10.1196/annals.1370.027\">10.1196/annals.1370.027</a>}, journal={Annals of the New York Academy of Sciences}, author={Thiere, B.}, year={2006}, pages={44–54} }","short":"B. Thiere, Annals of the New York Academy of Sciences (2006) 44–54.","mla":"Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.” <i>Annals of the New York Academy of Sciences</i>, 2006, pp. 44–54, doi:<a href=\"https://doi.org/10.1196/annals.1370.027\">10.1196/annals.1370.027</a>.","apa":"Thiere, B. (2006). Return Time Dynamics as a Tool for Finding Almost Invariant Sets. <i>Annals of the New York Academy of Sciences</i>, 44–54. <a href=\"https://doi.org/10.1196/annals.1370.027\">https://doi.org/10.1196/annals.1370.027</a>","ieee":"B. Thiere, “Return Time Dynamics as a Tool for Finding Almost Invariant Sets,” <i>Annals of the New York Academy of Sciences</i>, pp. 44–54, 2006.","chicago":"Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.” <i>Annals of the New York Academy of Sciences</i>, 2006, 44–54. <a href=\"https://doi.org/10.1196/annals.1370.027\">https://doi.org/10.1196/annals.1370.027</a>.","ama":"Thiere B. Return Time Dynamics as a Tool for Finding Almost Invariant Sets. <i>Annals of the New York Academy of Sciences</i>. 2006:44-54. doi:<a href=\"https://doi.org/10.1196/annals.1370.027\">10.1196/annals.1370.027</a>"},"page":"44-54","publication_status":"published","publication_identifier":{"issn":["0077-8923"]},"title":"Return Time Dynamics as a Tool for Finding Almost Invariant Sets","doi":"10.1196/annals.1370.027","date_updated":"2022-01-06T06:52:54Z","date_created":"2020-04-16T10:10:57Z","author":[{"first_name":"B.","last_name":"Thiere","full_name":"Thiere, B."}],"status":"public","type":"journal_article","publication":"Annals of the New York Academy of Sciences","language":[{"iso":"eng"}],"_id":"16674","user_id":"15701","department":[{"_id":"101"}]},{"user_id":"15701","department":[{"_id":"101"}],"_id":"16525","language":[{"iso":"eng"}],"type":"conference","publication":"EQUADIFF 2003","status":"public","date_created":"2020-04-15T08:14:05Z","author":[{"full_name":"Day, Sarah","last_name":"Day","first_name":"Sarah"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"},{"last_name":"Mischaikow","full_name":"Mischaikow, Konstantin","first_name":"Konstantin"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.1142/9789812702067_0014","title":"Towards Automated Chaos Verification","publication_status":"published","publication_identifier":{"isbn":["9789812561695","9789812702067"]},"citation":{"chicago":"Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated Chaos Verification.” In <i>EQUADIFF 2003</i>, 2005. <a href=\"https://doi.org/10.1142/9789812702067_0014\">https://doi.org/10.1142/9789812702067_0014</a>.","ieee":"S. Day, O. Junge, and K. Mischaikow, “Towards Automated Chaos Verification,” in <i>EQUADIFF 2003</i>, 2005.","ama":"Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: <i>EQUADIFF 2003</i>. ; 2005. doi:<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>","apa":"Day, S., Junge, O., &#38; Mischaikow, K. (2005). Towards Automated Chaos Verification. In <i>EQUADIFF 2003</i>. <a href=\"https://doi.org/10.1142/9789812702067_0014\">https://doi.org/10.1142/9789812702067_0014</a>","short":"S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.","bibtex":"@inproceedings{Day_Junge_Mischaikow_2005, title={Towards Automated Chaos Verification}, DOI={<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>}, booktitle={EQUADIFF 2003}, author={Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}, year={2005} }","mla":"Day, Sarah, et al. “Towards Automated Chaos Verification.” <i>EQUADIFF 2003</i>, 2005, doi:<a href=\"https://doi.org/10.1142/9789812702067_0014\">10.1142/9789812702067_0014</a>."},"year":"2005"},{"status":"public","abstract":[{"lang":"eng","text":"<jats:p> We combine the techniques of almost invariant sets (using tree structured box elimination and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques. The result is a new computational technique for computing key dynamical features, including almost invariant sets, resonance regions as well as transport rates and bottlenecks between regions in dynamical systems. This methodology can be applied to a variety of multibody problems, including those in molecular modeling, chemical reaction rates and dynamical astronomy. In this paper we focus on problems in dynamical astronomy to illustrate the power of the combination of these different numerical tools and their applicability. In particular, we compute transport rates between two resonance regions for the three-body system consisting of the Sun, Jupiter and a third body (such as an asteroid). These resonance regions are appropriate for certain comets and asteroids. </jats:p>"}],"publication":"International Journal of Bifurcation and Chaos","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"101"}],"user_id":"15701","_id":"16557","page":"699-727","citation":{"ama":"Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody Problems. <i>International Journal of Bifurcation and Chaos</i>. 2005:699-727. doi:<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>","ieee":"M. Dellnitz <i>et al.</i>, “Transport in Dynamical Astronomy and Multibody Problems,” <i>International Journal of Bifurcation and Chaos</i>, pp. 699–727, 2005.","chicago":"Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” <i>International Journal of Bifurcation and Chaos</i>, 2005, 699–727. <a href=\"https://doi.org/10.1142/s0218127405012545\">https://doi.org/10.1142/s0218127405012545</a>.","apa":"Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., … Thiere, B. (2005). Transport in Dynamical Astronomy and Multibody Problems. <i>International Journal of Bifurcation and Chaos</i>, 699–727. <a href=\"https://doi.org/10.1142/s0218127405012545\">https://doi.org/10.1142/s0218127405012545</a>","short":"M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos (2005) 699–727.","bibtex":"@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005}, pages={699–727} }","mla":"Dellnitz, Michael, et al. “Transport in Dynamical Astronomy and Multibody Problems.” <i>International Journal of Bifurcation and Chaos</i>, 2005, pp. 699–727, doi:<a href=\"https://doi.org/10.1142/s0218127405012545\">10.1142/s0218127405012545</a>."},"year":"2005","publication_identifier":{"issn":["0218-1274","1793-6551"]},"publication_status":"published","doi":"10.1142/s0218127405012545","title":"Transport in Dynamical Astronomy and Multibody Problems","author":[{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"full_name":"Junge, Oliver","last_name":"Junge","first_name":"Oliver"},{"last_name":"Koon","full_name":"Koon, Wang Sang","first_name":"Wang Sang"},{"first_name":"Francois","last_name":"Lekien","full_name":"Lekien, Francois"},{"first_name":"Martin W.","full_name":"Lo, Martin W.","last_name":"Lo"},{"first_name":"Jerrold E.","full_name":"Marsden, Jerrold E.","last_name":"Marsden"},{"last_name":"Padberg","full_name":"Padberg, Kathrin","first_name":"Kathrin"},{"first_name":"Robert","last_name":"Preis","full_name":"Preis, Robert"},{"full_name":"Ross, Shane D.","last_name":"Ross","first_name":"Shane D."},{"first_name":"Bianca","full_name":"Thiere, Bianca","last_name":"Thiere"}],"date_created":"2020-04-15T09:15:58Z","date_updated":"2022-01-06T06:52:52Z"},{"publication_status":"published","publication_identifier":{"issn":["0031-9007","1079-7114"]},"year":"2005","citation":{"apa":"Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., … Thiere, B. (2005). Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. <i>Physical Review Letters</i>. <a href=\"https://doi.org/10.1103/physrevlett.94.231102\">https://doi.org/10.1103/physrevlett.94.231102</a>","short":"M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).","mla":"Dellnitz, Michael, et al. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” <i>Physical Review Letters</i>, 2005, doi:<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>.","bibtex":"@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>}, journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005} }","ama":"Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. <i>Physical Review Letters</i>. 2005. doi:<a href=\"https://doi.org/10.1103/physrevlett.94.231102\">10.1103/physrevlett.94.231102</a>","chicago":"Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” <i>Physical Review Letters</i>, 2005. <a href=\"https://doi.org/10.1103/physrevlett.94.231102\">https://doi.org/10.1103/physrevlett.94.231102</a>.","ieee":"M. Dellnitz <i>et al.</i>, “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region,” <i>Physical Review Letters</i>, 2005."},"date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"full_name":"Lo, Martin W.","last_name":"Lo","first_name":"Martin W."},{"last_name":"Marsden","full_name":"Marsden, Jerrold E.","first_name":"Jerrold E."},{"first_name":"Kathrin","last_name":"Padberg","full_name":"Padberg, Kathrin"},{"last_name":"Preis","full_name":"Preis, Robert","first_name":"Robert"},{"first_name":"Shane D.","last_name":"Ross","full_name":"Ross, Shane D."},{"last_name":"Thiere","full_name":"Thiere, Bianca","first_name":"Bianca"}],"date_created":"2020-04-15T09:54:54Z","title":"Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region","doi":"10.1103/physrevlett.94.231102","type":"journal_article","publication":"Physical Review Letters","status":"public","_id":"16558","user_id":"15701","department":[{"_id":"101"}],"language":[{"iso":"eng"}]},{"_id":"16613","department":[{"_id":"101"}],"user_id":"15701","language":[{"iso":"eng"}],"publication":"Systems & Control Letters","type":"journal_article","status":"public","date_updated":"2022-01-06T06:52:53Z","date_created":"2020-04-16T08:04:26Z","author":[{"last_name":"Grüne","full_name":"Grüne, Lars","first_name":"Lars"},{"first_name":"Oliver","full_name":"Junge, Oliver","last_name":"Junge"}],"title":"A set oriented approach to optimal feedback stabilization","doi":"10.1016/j.sysconle.2004.08.005","publication_identifier":{"issn":["0167-6911"]},"publication_status":"published","year":"2005","page":"169-180","citation":{"ieee":"L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,” <i>Systems &#38; Control Letters</i>, pp. 169–180, 2005.","chicago":"Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, 169–80. <a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">https://doi.org/10.1016/j.sysconle.2004.08.005</a>.","ama":"Grüne L, Junge O. A set oriented approach to optimal feedback stabilization. <i>Systems &#38; Control Letters</i>. 2005:169-180. doi:<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>","apa":"Grüne, L., &#38; Junge, O. (2005). A set oriented approach to optimal feedback stabilization. <i>Systems &#38; Control Letters</i>, 169–180. <a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">https://doi.org/10.1016/j.sysconle.2004.08.005</a>","bibtex":"@article{Grüne_Junge_2005, title={A set oriented approach to optimal feedback stabilization}, DOI={<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>}, journal={Systems &#38; Control Letters}, author={Grüne, Lars and Junge, Oliver}, year={2005}, pages={169–180} }","mla":"Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, pp. 169–80, doi:<a href=\"https://doi.org/10.1016/j.sysconle.2004.08.005\">10.1016/j.sysconle.2004.08.005</a>.","short":"L. Grüne, O. Junge, Systems &#38; Control Letters (2005) 169–180."}},{"publication_status":"published","publication_identifier":{"issn":["0218-1274","1793-6551"]},"citation":{"apa":"Krauskopf, B., Osinga, H. M., Doedel, E. J., Henderson, M. E., Guckenheimer, J., Vladimirsky, A., … Junge, O. (2005). A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. <i>International Journal of Bifurcation and Chaos</i>, 763–791. <a href=\"https://doi.org/10.1142/s0218127405012533\">https://doi.org/10.1142/s0218127405012533</a>","bibtex":"@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>}, journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791} }","mla":"Krauskopf, B., et al. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” <i>International Journal of Bifurcation and Chaos</i>, 2005, pp. 763–91, doi:<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>.","short":"B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (2005) 763–791.","ama":"Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. <i>International Journal of Bifurcation and Chaos</i>. 2005:763-791. doi:<a href=\"https://doi.org/10.1142/s0218127405012533\">10.1142/s0218127405012533</a>","chicago":"Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” <i>International Journal of Bifurcation and Chaos</i>, 2005, 763–91. <a href=\"https://doi.org/10.1142/s0218127405012533\">https://doi.org/10.1142/s0218127405012533</a>.","ieee":"B. Krauskopf <i>et al.</i>, “A Survey of Methods for Computing (un)stable Manifolds of Vector Fields,” <i>International Journal of Bifurcation and Chaos</i>, pp. 763–791, 2005."},"page":"763-791","year":"2005","date_created":"2020-04-16T08:21:52Z","author":[{"first_name":"B.","last_name":"Krauskopf","full_name":"Krauskopf, B."},{"full_name":"Osinga, H. M.","last_name":"Osinga","first_name":"H. M."},{"first_name":"E. J.","last_name":"Doedel","full_name":"Doedel, E. J."},{"last_name":"Henderson","full_name":"Henderson, M. E.","first_name":"M. E."},{"first_name":"J.","last_name":"Guckenheimer","full_name":"Guckenheimer, J."},{"first_name":"A.","last_name":"Vladimirsky","full_name":"Vladimirsky, A."},{"full_name":"Dellnitz, M.","last_name":"Dellnitz","first_name":"M."},{"first_name":"O.","last_name":"Junge","full_name":"Junge, O."}],"date_updated":"2022-01-06T06:52:53Z","doi":"10.1142/s0218127405012533","title":"A Survey of Methods for Computing (un)stable Manifolds of Vector Fields","type":"journal_article","publication":"International Journal of Bifurcation and Chaos","status":"public","abstract":[{"lang":"eng","text":"<jats:p> The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global stable or unstable manifold of a vector field, where we concentrate on the case of a two-dimensional manifold. All methods are illustrated with the same example — the two-dimensional stable manifold of the origin in the Lorenz system. </jats:p>"}],"user_id":"15701","department":[{"_id":"101"}],"_id":"16627","language":[{"iso":"eng"}]},{"citation":{"ama":"Krishnamurthy A, Preis R. Satellite Formation, a Mobile Sensor Network in Space. In: <i>19th IEEE International Parallel and Distributed Processing Symposium</i>. ; 2005. doi:<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>","ieee":"A. Krishnamurthy and R. Preis, “Satellite Formation, a Mobile Sensor Network in Space,” in <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005.","chicago":"Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” In <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005. <a href=\"https://doi.org/10.1109/ipdps.2005.387\">https://doi.org/10.1109/ipdps.2005.387</a>.","short":"A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.","mla":"Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” <i>19th IEEE International Parallel and Distributed Processing Symposium</i>, 2005, doi:<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>.","bibtex":"@inproceedings{Krishnamurthy_Preis_2005, title={Satellite Formation, a Mobile Sensor Network in Space}, DOI={<a href=\"https://doi.org/10.1109/ipdps.2005.387\">10.1109/ipdps.2005.387</a>}, booktitle={19th IEEE International Parallel and Distributed Processing Symposium}, author={Krishnamurthy, A. and Preis, R.}, year={2005} }","apa":"Krishnamurthy, A., &#38; Preis, R. (2005). Satellite Formation, a Mobile Sensor Network in Space. In <i>19th IEEE International Parallel and Distributed Processing Symposium</i>. <a href=\"https://doi.org/10.1109/ipdps.2005.387\">https://doi.org/10.1109/ipdps.2005.387</a>"},"year":"2005","publication_status":"published","publication_identifier":{"isbn":["0769523129"]},"doi":"10.1109/ipdps.2005.387","title":"Satellite Formation, a Mobile Sensor Network in Space","author":[{"full_name":"Krishnamurthy, A.","last_name":"Krishnamurthy","first_name":"A."},{"full_name":"Preis, R.","last_name":"Preis","first_name":"R."}],"date_created":"2020-04-16T08:22:43Z","date_updated":"2022-01-06T06:52:53Z","status":"public","type":"conference","publication":"19th IEEE International Parallel and Distributed Processing Symposium","user_id":"15701","department":[{"_id":"101"}],"_id":"16628"}]