Turing patterns and standing waves of FitzHugh-Nagumo type systems

CDSNS Colloquium
Monday, March 15, 2010 - 11:00am
1 hour (actually 50 minutes)
Skiles 269
National Changhua University, Taiwan
There are many interesting patterns observed in activator-inhibitor systems. A well-known model is the FitzHugh-Nagumo system. In conjunction with calculus of variations, there is a close relation between the stability of a steady state and its relative Morse index. We give a sufficient condition in diffusivity for the existence of standing wavefronts joining with Turing patterns.