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Combined dynamics on hyperspaces
A. Nagar,
Published in
Volume: 38
Pages: 399 - 410
Dynamical systems are systems that evolve with time. In this paper, we study the dynamics displayed by the combined effect of the join of distinct dynamical systems. The relation, obtained thus, is a set-valued function. We compare the various dynamical properties of such a relation with its individual defining components, as well as its induced counterpart on the hyperspace. Some comparisons can be easily derived, but this study also leads to various questions that have been proposed in this article. © 2010 Topology Proceedings.
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