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Hopf-Turing mixed mode and pattern selection in reaction diffusion systems

A. Bhattacharyay
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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.

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A. Bhattacharyay. 2001-11-27. Hopf-Turing mixed mode and pattern selection in reaction diffusion systems. https://arxiv.org/abs/nlin/0111059

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