Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

The human eye is bored by monotonous landscapes. We are depressed by gray skies,
unending plains under the wing of an airliner, featureless urban sprawl, geometric …

Recently, several different approaches for digital inpainting have been proposed in the
literature. We give a review and introduce a novel approach based on the complex Ginzburg …

We study the coupled complex Ginzburg–Landau (CGL) equations for traveling wave
systems, and show that sources and sinks are the important coherent structures that …

We study numerically the cubic-quintic-septic Swift-Hohenberg (SH357) equation on
bounded one-dimensional domains. Under appropriate conditions stripes with wave number …

We introduce a spatially localized inhomogeneity into the two-dimensional complex
Ginzburg-Landau equation. We observe that this can produce two types of target wave …

We present a computational study of the pairwise interactions between defects in the
recently introduced non-reciprocal Cahn–Hilliard model. The evolution of a defect pair …

The effect of a long length scale static inhomogeneity on spiral wave dynamics is studied in
the two-dimensional complex Ginzburg-Landau equation. We find that the inhomogeneity …

Using simulations of inhomogeneous cardiac tissue, we investigated interactions between
multiple stable spiral waves of different frequencies. We found that spiral waves with slower …

The interaction of a pair of spiral waves with different independent rotation frequencies is
studied. In a very large frequency mismatch searching region, we observe three different …