A Survey of Methods for Computing (un)stable Manifolds of Vector Fields

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.

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Journal Article | Published | English
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<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>
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International Journal of Bifurcation and Chaos
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763-791
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Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. International Journal of Bifurcation and Chaos. 2005:763-791. doi:10.1142/s0218127405012533
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. International Journal of Bifurcation and Chaos, 763–791. https://doi.org/10.1142/s0218127405012533
@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={10.1142/s0218127405012533}, 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} }
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.” International Journal of Bifurcation and Chaos, 2005, 763–91. https://doi.org/10.1142/s0218127405012533.
B. Krauskopf et al., “A Survey of Methods for Computing (un)stable Manifolds of Vector Fields,” International Journal of Bifurcation and Chaos, pp. 763–791, 2005.
Krauskopf, B., et al. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” International Journal of Bifurcation and Chaos, 2005, pp. 763–91, doi:10.1142/s0218127405012533.

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