Upper bound for the Hausdorff dimension of invariant sets of evolution variational inequalities |
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Authors: | A V Kruck |
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Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | We consider the method of determining observations for obtaining an upper bound for the fractal dimension and the Hausdorff dimension of invariant sets of variational inequalities. We suggest a process for constructing determining observations, in particular, for dissipativity, with the use of frequency theorems for evolution systems (the Likhtarnikov–Yakubovich theorem). As an example, we consider a viscoelasticity problem in mechanics. |
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