| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8256500 | Physica D: Nonlinear Phenomena | 2014 | 13 Pages |
Abstract
We study by center manifold and normal form reduction an O(2)-Hopf bifurcation arising in a simplified model of bifurcating viscous shock waves in a channel, suppressing longitudinal dependence and modeling onset of instability via competing stable/unstable diffusions. For this canonical system, a cousin of the Kuramoto-Sivashinsky model, we are able to carry out a complete bifurcation analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jinghua Yao,