1. Pullback and uniform exponential attractors for non-autonomous Oregonator systems
- Author
-
Liu Na and Yu Yang-Yang
- Subjects
oregonator systems ,pullback exponential attractor ,uniform exponential attractor ,non-autonomous dynamical systems ,37b55 ,37c70 ,37l25 ,Mathematics ,QA1-939 - Abstract
We consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction. We first present some sufficient conditions for the existence of pullback and uniform exponential attractors for non-autonomous dynamical system. Then, we apply abstract results to prove the existence of a pullback exponential attractor for Oregonator systems affected by time-dependent forces and a uniform exponential attractor for Oregonator systems driven by quasi-periodic external forces.
- Published
- 2024
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