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On the Connectedness of Attractors for Dynamical Systems

โœ Scribed by Massimo Gobbino; Mirko Sardella

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
470 KB
Volume
133
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

For a dynamical system on a connected metric space X, the global attractor (when it exists) is connected provided that either the semigroup is time-continuous or X is locally connected. Moreover, there exists an example of a dynamical system on a connected metric space which admits a disconnected global attractor.

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