Nonlinear Differential Equations,
Electron. J. Diff. Eqns., Conf. 05, 2000, pp. 91-102.

A Lyapunov function for pullback attractors of nonautonomous differential equations

Peter E. Kloeden

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.

Published October 25, 2000.
Math Subject Classifications: 34D20, 34D45.
Key Words: Lyapunov function, nonautonomous system, pullback attractor.

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Peter E. Kloeden
FB Mathematik, Johann Wolfgang Goethe Universitat
D-60054 Frankfurt am Main, Germany
email: kloeden@math.uni-frankfurt.de

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