@article{0c32888c36d64884b5bd34a081ccb590,
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{"}.",
author = "Johnson, {M. E.} and Jolly, {M. S.} and Kevrekidis, {I. G.}",
note = "Funding Information: We thank the National Science Foundation for continuing support over the years we have been exploring the dynamics of the KSE. During that period, good portions of that effort came while all three authors enjoyed the hospitality of both the Center for Nonlinear Studies at the Los Alamos National Laboratory and the Institute of Mathematics and its Applications at the University of Minnesota. This work constitutes a part of the PhD thesis of M. E. Johnson in the Program in Applied and Computational Mathematics at Princeton University. This paper is dedicated to the Torrey Pines Foundation which, for many years and in many ways, has supported the research of I. G. Kevrekidis and M. S. Jolly.",
year = "2001",
month = jan,
doi = "10.1142/S0218127401001979",
language = "English (US)",
volume = "11",
pages = "1--18",
journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
issn = "0218-1274",
publisher = "World Scientific",
number = "1",
}