On the structure of the global attractor for non-autonomous dynamical systems with weak convergence (Q1947890)
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scientific article; zbMATH DE number 6159035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of the global attractor for non-autonomous dynamical systems with weak convergence |
scientific article; zbMATH DE number 6159035 |
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On the structure of the global attractor for non-autonomous dynamical systems with weak convergence (English)
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29 April 2013
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The authors tackle Seifert's problem (Does a dissipative and almost-periodic equation possess an almost-periodic solution?) in the set-up of finite-dimensional ODEs \[ x'=f(t,x). \] Even if, in general, the answer is negative, affirmative results are given under a weak-convergence assumption. Beyond almost-periodic solutions, also those of (asymptotically) almost-automorphic, recurrent and pseudo-recurrent type are investigated using a skew-product setting.
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nonautonomous dynamical system
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skew-product system
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global attractor
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dissipative system
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almost-periodic
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