Related Experiment Video
Updated: Jul 11, 2026

Investigation of Early Plasma Evolution Induced by Ultrashort Laser Pulses
Published on: July 2, 2012
Critical fronts in initiation of excitation waves
1Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom.
Abstract:
We consider the problem of initiation of propagating waves in a one-dimensional excitable fiber. In the FitzHugh-Nagumo theory, the key role is played by "critical nucleus" and "critical pulse" solutions whose (center-) stable manifold is the threshold surface separating initial conditions leading to propagation and those leading to decay. We present evidence that in cardiac excitation models, this role is played by "critical front" solutions.
Related Concept Videos
Interference and Diffraction
Shock Waves
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high pressures...
Standing Electromagnetic Waves
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
Electromagnetic Waves
Standing Waves in a Cavity
Generating Electromagnetic Radiations

