The Oseberg transition: Visualization of global bifurcations for the Kuramoto-Sivashinsky equation

M. E. Johnson, M. S. Jolly, I. G. Kevrekidis

Research output: Contribution to journalReview articlepeer-review

19 Scopus citations

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".

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume11
Issue number1
DOIs
StatePublished - Jan 2001

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The Oseberg transition: Visualization of global bifurcations for the Kuramoto-Sivashinsky equation'. Together they form a unique fingerprint.

Cite this