Global Dynamics of the Oregonator System
Reaction–diffusion system, Oregonator, global attractor, fractal dimension, exponential attractor
Digital Object Identifier (DOI)
In this work, the existence and properties of a global attractor for the solution semiflow of the Oregonator system are proved. The Oregonator system is the mathematical model of the celebrated Belousov–Zhabotinskii reaction. A rescaling and grouping estimation method is developed to show the absorbing property and the asymptotic compactness of the solution trajectories of this three-component reaction–diffusion system with quadratic nonlinearity. It is also proved that the fractal dimension of the global attractor is finite and an exponential attractor exists for the Oregonator semiflow. Copyright © 2012 John Wiley & Sons, Ltd.
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Citation / Publisher Attribution
Mathematical Methods in the Applied Sciences, v. 35, issue 4, p. 398-416
Scholar Commons Citation
You, Yuncheng, "Global Dynamics of the Oregonator System" (2012). Molecular Pharmacology & Physiology Faculty Publications. 77.