We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

Nonlinear-dynamical control techniques, also known as chaos control, have been used with
great success to control a wide range of physical systems. Such techniques have been used …

For plane-wave and many-spiral states of the experimentally based Luo-Rudy 1 model of
heart tissue in large (8 cm square) domains, we show that a space-time-adaptive time …

Regular electrical activation waves in cardiac tissue lead to the rhythmic contraction and
expansion of the heart that ensures blood supply to the whole body. Irregularities in the …

Pattern formation of spiral waves in an inhomogeneous excitable medium with small-world
connections is investigated. In both cases, with completely local regular connections and …

Sudden cardiac death, primarily caused by ventricular arrhythmias, is a major public health
problem—it is one of the leading causes of mortality in the United States, resulting in more …

The role of nonlinear dynamics in cardiac arrhythmia control Page 1 The role of nonlinear
dynamics in cardiac arrhythmia control David J. Christini, Ph.D., Kenneth M. Stein, MD, Steven …

Nonlinear partial differential equations admitting traveling wave solutions play an important
role in the description and analysis of real-life physical processes and nonlinear …

Reaction-diffusion systems are of considerable importance in many areas of physical
sciences. For many reasons, an external manipulation of the dynamics of these processes is …