Global Dynamics of the Oregonator System |
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Authors: | Yuncheng You |
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Affiliation: | Department of Mathematics and Statistics, University of South Florida, , Tampa, FL 33620 USA |
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Abstract: | 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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Keywords: | Reaction– diffusion system Oregonator global attractor fractal dimension exponential attractor |
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