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 …

We review experimental and theoretical studies on the design and control of spatiotemporal
behavior in chemical systems. A wide range of approaches have been pursued to control …

It has become widely accepted that the most dangerous cardiac arrhythmias are due to
reentrant waves, ie, electrical wave (s) that recirculate repeatedly throughout the tissue at a …

Winfree turbulence of scroll waves is a special kind of spatiotemporal chaos that exists
exclusively in three-dimensional excitable media and is currently considered one of the …

The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth
and depth over the past three decades. Its subject matter and applications encompass all …

The beating of the heart is a synchronized contraction of muscle cells (myocytes) that is
triggered by a periodic sequence of electrical waves (action potentials) originating in the …

The occurrence of Winfree turbulence is currently regarded as one of the principal
mechanisms underlying cardiac fibrillation. We develop a local stimulation method that …

Excitable media, ranging from bioelectric tissues and chemical oscillators to forest fires and
competing populations, are nonlinear, spatially extended systems capable of spiking. Most …

Proteins are the elementary building units for all living creatures and are essential
components for information and energy processing in living systems. The need to …

Excitable media comprise a class of models for a wide range of physical, chemical, and
biological systems that exhibit spontaneous formation of spatial patterns. Patterns in …