Abstract
This work continues the mathematical study started in ([13], to appear) on the analytic aspects of the Lengyel–Epstein reaction diffusion system. This system captures the crucial feature of the CIMA reaction in an open unstirred gel reactor which gave the first experimental evidence of Turing pattern in 1990. In the one dimensional case, we make a detailed description for the global bifurcation structure of the set of the non-constant steady states. The limiting behavior of the steady states is further clarified using a shadow system approach.
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Jang, J., Ni, WM. & Tang, M. Global Bifurcation and Structure of Turing Patterns in the 1-D Lengyel–Epstein Model. Journal of Dynamics and Differential Equations 16, 297–320 (2004). https://doi.org/10.1007/s10884-004-2782-x
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DOI: https://doi.org/10.1007/s10884-004-2782-x