Chaotic behavior in coupled Gierer-Meinhardt equations
In this paper, a computer program was modified to simulate the dynamics of four modified Gierer-Meinhardt reaction-diffusion equations. A time series analysis was performed on the results. It was found that the modified Gierer-Meinhardt equations demonstrated chaotic behavior under certain conditions. The dynamics included fixed points, limit cycles, transient chaos, intermittent chaos, and strange attractors. The creation and destruction of fractal torii was found. (C) 2001 Elsevier Science Ltd. All rights reserved.
gierer-meinhardt equations pattern formation self-organizing systems reaction-diffusion systems chemical waves