Pullback attractors in nonautonomous difference equations |
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Authors: | Peter E Kloeden |
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Institution: | Johann Wolfgang Goethe Universit?t , FB Mathematik,Frankfurt am Main, Germany |
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Abstract: | Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set. Results from the literature are outlined, including the construction of a Lyapunov function characterizing pullback attraction, and illustrated with several examples. |
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Keywords: | Difference equation Cocycle Pullback attractor |
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