Abstract | ||
---|---|---|
The computation of global invariant manifolds has seen renewed interest in recent years. We survey different approaches for computing a global table 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. |
Year | DOI | Venue |
---|---|---|
2005 | 10.1142/S0218127405012533 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
stable and unstable manifolds, numerical methods, Lorenz equations | Journal | 15 |
Issue | ISSN | Citations |
3 | 0218-1274 | 41 |
PageRank | References | Authors |
3.28 | 11 | 8 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bernd Krauskopf | 1 | 167 | 29.76 |
Hinke M. Osinga | 2 | 160 | 20.82 |
Eusebius J. Doedel | 3 | 64 | 9.85 |
M. E. Henderson | 4 | 44 | 3.77 |
John Guckenheimer | 5 | 580 | 121.79 |
Alexander Vladimirsky | 6 | 229 | 23.18 |
Michael Dellnitz | 7 | 174 | 20.34 |
Oliver Junge | 8 | 128 | 21.57 |