Invariant Manifolds and Global Bifurcations
for the Kuramoto-Sivashinsky Equation
We study elements of the global attractor of the
Kuramoto-Sivashinsky equation (KSE) in an attempt
to classify certain global bifurcation phenomena
involving stable and unstable manifolds of steady
state and standing wave solutions. These computations
are inspired and facilitated by (but not restricted to)
the study of a three-dimensional approximate inertial
form, for which the phase space can be completely
visualized with the help of computer graphics.
joint work with Michael S. Jolly and Ioannis G. Kevrekidis.
maejohns@kerouac.princeton.edu