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.
|Translated title of the contribution||A survey of methods for computing (un)stable manifolds of vector fields|
|Pages (from-to)||763 - 791|
|Number of pages||29|
|Journal||International Journal of Bifurcation and Chaos|
|Publication status||Published - Mar 2005|
Bibliographical notePublisher: World Scientific Publ Co Pte Ltd
Other: Also appeared in EJ Doedel, G Domokos & IG Kevrekidis (Eds), Modelling & Computations in Dynamical Systems, World Scientific Series on Nonlinear Science B13 (2006) featured on the cover!