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 …

A reference and text, Dissipative Phenomena treats the broadly applicable area of
nonequilibrium statistical physics and concentrates the modelling and characterization of …

Scroll waves are three-dimensional analogs of spiral waves. The linear stability spectrum of
untwisted and twisted scroll waves is computed for a two-variable reaction-diffusion model of …

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 …

We study associative memory based on temporal coding in which successful retrieval is
realized as an entrainment in a network of simple phase oscillators with distributed natural …

A full linear stability of a straight scroll wave in an excitable medium is presented. The five
eigenmode branches which correspond to deformation in the third dimension of the five …

The effect of weak inhomogeneity on spiral wave dynamics is studied within the framework
of the two-dimensional complex Ginzburg-Landau equation description. The inhomogeneity …

We formulate a reduced model to analyze the motion of the core of a twisted scroll wave.
The model is first shown to provide a simple description of the onset and nonlinear evolution …

We studied the stability of linear vortex filaments in 3-dimensional (3D) excitable media,
using both analytical and numerical methods. We found an intrinsic 3D instability of vortex …