Phys. Rev. E 52, 129–136 (1995)Global stability of stationary patterns in bistable reaction-diffusion systemsReceived 1 December 1994; published in the issue dated July 1995 We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.52.129
DOI:
10.1103/PhysRevE.52.129
PACS:
05.70.Ln, 47.54.+r, 82.40.Ck
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.