Local estimates for the Hausdorff dimension of an attractor (Q750985)
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scientific article; zbMATH DE number 4176065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local estimates for the Hausdorff dimension of an attractor |
scientific article; zbMATH DE number 4176065 |
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Local estimates for the Hausdorff dimension of an attractor (English)
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1990
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In the paper a continuous nonlinear semigroup acting on a separable Hilbert space is considered. It is assumed that the semigroup admits a compact global attractor on which it is bijective. In this context local and global Lyapunov exponents are defined and used to introduce the Douady-Oesterlé dimension. It is shown the existence of a critical path in the attractor for which the local Douady-Oesterlé dimension dominates the Hausdorff dimension of the attractor. An example for a Lorenz type equation is given.
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dissipative nonlinear PDE's
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attractor
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Hausdorff dimension
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0.94163233
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0.93948376
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0.93565226
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0.93073475
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