@article{38161, keywords = {systems, propagation, approximate inertial manifolds, fields, traveling-waves}, author = {Johnson and Jolly and Kevrekidis}, title = {The Oseberg transition: Visualization of global bifurcations for the Kuramoto-Sivashinsky equation}, abstract = { We present and discuss certain global bifurcations involving the interaction of one- and two-dimensional invariant manifolds of steady and periodic solutions of the Kuramoto-Sivashinsky equation. Numerical bifurcation calculations, dimensionality reduction using approximate inertial manifolds/forms, as well as approximation and visualization of invariant manifolds are combined in order to characterize what we term the "Oseberg transition". }, year = {2001}, journal = {International Journal of Bifurcation and ChaosInternational Journal of Bifurcation and Chaos}, volume = {11}, pages = {1-18}, month = {01/2001}, isbn = {0218-1274}, language = {English}, }