Sponsored by
 
Events
News
 
[ Events ]
 
 

Activity Search
Sort out
Field
 
Year
Seminars  
 
Taipei Postdoc Seminar
 
14:00 - 15:00, April 21, 2021 (Wednesday)
Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
Global Dynamics on One-dimensional Excitable Media
Yan-Yu Chen (National Taiwan University)

Abstract:

The FitzHugh–Nagumo system has been studied extensively for several decades. It has been shown numerically that pulses are generated to propagate and then some of the pulses are annihilated after collision. For the mathematical understanding of these complicated dynamics, we investigate the global dynamics of a one-dimensional free boundary problem in the singular limit of a FitzHugh–Nagumo type reaction–diffusion system. By introducing the notion of symbolic dynamics, we show that the asymptotic behaviors of solutions are classified into three categories: (i) the solution converges uniformly to the resting state; (ii) the solution converges to a series of traveling pulses propagating in either the same direction or both directions; and (iii) the solution converges to a propagating wave consisting of multiple traveling pulses and two traveling fronts propagating in both directions.
 
This is a joint work with Professor Hirokazu Ninomiya and Professor Chang-Hong Wu.


 

back to list  
 (C) 2021 National Center for Theoretical Sciences