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Dynamics on Spaces of Compact Subsets with Application to Brain Modeling

✍ Scribed by Abraham Boyarsky; Paweł Góra; Vadim Lioubimov

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
219 KB
Volume
216
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study dynamical systems on the space K E by considering transformations n Ž .

Ž . : K E ªK E which are constructed from image source data such as occur in n n the dynamics of the brain. In particular, we establish sufficient conditions for the Ž . existence of invariant measures on K E . Under certain conditions these mean sures are absolutely continuous. We attempt to give meaning to the notion of expansiveness in brain dynamics.

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