We present an experimental and theoretical investigation of spontaneous pattern formation in the transverse section of a single retroreflected laser beam passing through a cloud of cold rubidium atoms. In contrast to previously investigated systems, the nonlinearity at work here is that of a two-level atom, which realizes the paradigmatic situation considered in many theoretical studies of opti...

Hexagonal pattern formation in the pigment structure of electrophoretic image displays (EPIDs) is measured in samples with a high concentration of free charge. In this article we will explain which phenomenon is at the origin of the pattern formation.

fitzhugh-nagumo (fhn) model is a famous reaction-diffusion system which first introduced for the conduction of electrical impulses along a nerve fiber. this model is also considered as an abstract model for pattern formation. here, we have used the cellular automata method to simulate the pattern formation of the fhn model. it is shown that the pattern of this model is very similar to those of ...

in this work, we analyse a pair of two-dimensional coupled reaction-diusion equations known as the gray-scott model, in which spot patterns have been observed. we focus on stationary patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. a complete bifurcation study of these solutions is presented. the main mathematic...

The work is concerned with investigation of spatio-temporal phenomena on mutually coupled CNN array. Besides pattern formation and active wave propagation, we found that other interesting spatio-temporal phenomena such as phaseinversion-wave and classical waves can be also observed in the same network structure. In particular, we focus our discussion on the relations of spatio-temporal phenomen...