### Turing patterns and standing waves of FitzHugh-Nagumo type systems

- Series
- CDSNS Colloquium
- Time
- Monday, March 15, 2010 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Chao-Nien Chen – 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.