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Topological properties of attractors for dynamical systems - MaRDI portal

Topological properties of attractors for dynamical systems (Q5930183)

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scientific article; zbMATH DE number 1587568
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Topological properties of attractors for dynamical systems
scientific article; zbMATH DE number 1587568

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    Topological properties of attractors for dynamical systems (English)
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    9 November 2001
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    A theorem that the Čech-Alexander-Spanier cohomology of a global attractor (in a continuous-time dynamical system) is isomorphic to the cohomology of the whole phase space is proved in the paper. Some related results and examples are presented.
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    dynamical system
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    global attractor
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    Čech-Alexander-Spanier cohomology
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    direct limit
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    inverse limit
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