Journal
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Volume 19, Issue 3, Pages 623-654Publisher
SPRINGER
DOI: 10.1007/s10884-006-9013-6
Keywords
singular perturbation; Conley index theory; traveling wave; symbolic dynamics; rigorous computation; predator-prey system
Categories
Ask authors/readers for more resources
We show the existence of a set of periodic traveling waves in a system of two scalar reaction diffusion equations, which is in one-to-one correspondence with a full shift on two symbols. We use a novel combination of rigorous numerical computations and the topological techniques of the Conley index theory. This approach is quite general, and this paper is intended as a demonstration of its usefulness and applicability.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available