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The funnel boundary of multivalued dynamical systems
Journal article   Peer reviewed

The funnel boundary of multivalued dynamical systems

P.E. Kloeden
Journal of the Australian Mathematical Society, Vol.27(1), pp.108-124
1979
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Abstract

Properties of the funnel boundary are investigated for multivalued dynamical systems defined axiomatically in terms of attainability set mappings on complete, locally compact metric state spaces. The set of regular boundary events is shown to be dense in the funnel boundary and theorems of Fukuhara and Zaremba on peripheral attainability are generalized to the systems considered here.

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