Pullback and uniform exponential attractors for non-autonomous Oregonator systems

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.

Keywords

• oregonator systems
• pullback exponential attractor
• uniform exponential attractor
• non-autonomous dynamical systems
• 37b55
• 37c70
• 37l25