{"publication_status":"published","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:52:53Z","type":"journal_article","publication":"International Journal of Bifurcation and Chaos","page":"763-791","doi":"10.1142/s0218127405012533","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."},{"last_name":"Guckenheimer","full_name":"Guckenheimer, J.","first_name":"J."},{"first_name":"A.","last_name":"Vladimirsky","full_name":"Vladimirsky, A."},{"last_name":"Dellnitz","full_name":"Dellnitz, M.","first_name":"M."},{"last_name":"Junge","full_name":"Junge, O.","first_name":"O."}],"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>"}],"year":"2005","status":"public","date_created":"2020-04-16T08:21:52Z","user_id":"15701","citation":{"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>.","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.","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} }","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>","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.","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>.","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>"},"_id":"16627","title":"A Survey of Methods for Computing (un)stable Manifolds of Vector Fields","department":[{"_id":"101"}],"publication_identifier":{"issn":["0218-1274","1793-6551"]}}