Localized Structures in Dissipative Nonlinear Systems - Abstract
Zykov, Vladimir
Wave processes in excitable media play an important role in a variety of physical, chemical and biological systems. In a two- dimensional medium with a given excitability there is a stationary propagating wave seg- ment with a particular size and shape, which is intrinsically unstable. The importance of this pattern is relating to the fact, that it represents a critical nuclei, from which two counerrotating spiral waves can be developed. It is shown that a periodic sequence of such wave segments can be stabilized by an appro- priate noninvasive feedback. By application of the free-boundary approach the shape and the velocity of the wave segments is determined in a quantitative agreement with the data from direct integrations of the underlying reaction-diffusion model.