Dynamics of self-replicating patterns in reaction diffusion systems

Autor: William N. Reynolds, John E. Pearson, Silvina Ponce-Dawson
Rok vydání: 1994
Předmět:
Zdroj: Physical Review Letters. 72:2797-2800
ISSN: 0031-9007
Popis: Recently solutions to a simple reaction diffusion system have been discovered in which localized structures (spots) make copies of themselves. In this Letter we analyze the one-dimensional analog of this process in which replication occurs until the domain is filled with a periodic array of spots. We provide a heuristic explanation of why this replication process should occur in a broad class of systems. Time dependent solutions are developed for model systems and their analytic structures investigated.
Databáze: OpenAIRE