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The Minimal Center of Attraction of Measurable Systems and Their Discretizations

โœ Scribed by Phil Diamond; Peter Kloeden; Aleksej Pokrovskii

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
202 KB
Volume
200
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

A generalization of the Birkhoff minimal center of attraction is introduced and investigated for dynamical systems generated by single-and multi-valued Borel measurable mappings. In particular, it is shown to be equal to the minimal closed set containing the supports of the semi-invariant measures of the system. Its approximation under the spatial discretization of the state space is also considered.

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