A Lyapunov function for pullback attractors of nonautonomous differential equations

Abstract

The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by an autonomous dynamical system on a metric space.

Keywords

• Lyapunov function
• nonautonomous system
• pullback attractor.