Turning points and traveling waves in FitzHugh-Nagumo type equations

Citations of this article
Mendeley users who have this article in their library.


Consider the following FitzHugh-Nagumo type equation{A formula is presented} where f ( u, w ) = u ( u - a ( w ) ) ( 1 - u ) for some smooth function a ( w ) and g ( u, w ) = u - w. By allowing a ( w ) to cross zero and one, the corresponding traveling wave equation possesses special turning points which result in very rich dynamics. In this work, we examine the existence of fronts, backs and pulses solutions; in particular, the co-existence of different fronts will be discussed. © 2005 Elsevier Inc. All rights reserved.




Liu, W., & Van Vleck, E. (2006). Turning points and traveling waves in FitzHugh-Nagumo type equations. Journal of Differential Equations, 225(2), 381–410. https://doi.org/10.1016/j.jde.2005.10.006

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free