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

By Bernd Krauskopf, Hinke M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John M. Guckenheimer, Alexander Vladimirsky, Michael Dellnitz, Oliver Junge. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2005

295 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4e65f8e20a13fb90028b3dfeaf7b7af83f814b70

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. John M. Guckenheimer
2. Christian Kuehn
3. Jerrold E. Marsden
4. Hinke M. Osinga
5. Martin Wechselberger
6. Bernd Krauskopf
7. Mathieu Desroches

In Statistical and Nonlinear Physics

1. Jerrold E. Marsden
2. Francois Lekien
3. Shawn C. Shadden
4. John M. Guckenheimer
5. Christian Kuehn
6. Hinke M. Osinga
7. Martin Wechselberger
8. Bernd Krauskopf

Citations in the corpus

• Mixed-Mode Oscillations with Multiple Time Scales (2012, methodology): “These issues prompt the use of boundary value methods combined with continuation as an alternate strategy for computing invariant manifolds [132, 133].”
• Lagrangian coherent structures in n-dimensional systems (2007, methodology): “For periodic and near-integrable systems, there has been progress on computing invariant manifolds for systems with dimension greater than 2 see Krauskopf et al. 2005 and Wysham and Meiss 2006 .”