Hopf-Turing mixed mode and pattern selection in reaction diffusion systems
Pattern Formation and Solitons
2007-05-23 v1 Chaotic Dynamics
Abstract
The amplitude equation of Gierer-Mainhardt model has been actually derived near the boundary abuot which Turing and Hopf modes exist. In a parameter region where Hopf-Turing mixed mode solution is stable, a chaotic state that generally results from interaction between mixed modes, is observed. This chaotic region follows a strong selection of a spatially periodic order followed by a local, resonant, very large frequency temporal oscillation. A spatio-temporal forcing, responsible for what obseved, has been identified.
Cite
@article{arxiv.nlin/0111059,
title = {Hopf-Turing mixed mode and pattern selection in reaction diffusion systems},
author = {A. Bhattacharyay},
journal= {arXiv preprint arXiv:nlin/0111059},
year = {2007}
}
Comments
7 pages and 9 figures