Display Abstract

Title Traveling spots and obstacle-induced spirals in an excitable medium

Name Hirokazu Ninomiya
Country Japan
Email hirokazu.ninomiya@gmail.com
Co-Author(s) Y.-Y. Chen, Y. Kohsaka
Submit Time 2014-02-27 19:38:40
Special Session 12: Complexity in reaction-diffusion systems
In this talk, traveling spots observed in two-dimensional excitable media are explored. First, we introduce the singular limit problem of the FitzHugh-Nagumo equations. Then we show the existence of the traveling spot including the front and the back. Using this traveling spots, I will explain some mathematical understanding of the formation of spirals which is induced by obstacles. The formation of the spirals depends on the shapes of the obstacle. This spiral formation is deeply related to the ventricular fibrillation.