| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613617 | Journal of Differential Equations | 2006 | 40 Pages |
Abstract
In this paper we give a complete description of the entire dynamics of the kinetic system of a reaction–diffusion system proposed by A. Gierer and H. Meinhardt. In particular, the α-limit sets and ω-limit sets of all trajectories are determined, and it is shown that the dynamics of the system exhibits various interesting behaviors, including convergent solutions, periodic solutions, unbounded oscillating global solutions, and finite time blow-up solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
