Wang, Lidong, Gao, Yuelin and Ling, Wing-Kuen (2011) Research on chaos caused by a transitive map based on intelligent materials. Advanced Materials Research: Advances in Computer Science, Intelligent System and Environment, 105 . pp. 269-275. ISSN 1022-6680, 1662-8985
Full content URL: http://dx.doi.org/10.1007/978-3-642-23756-0_44
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| Item Type: | Article |
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| Item Status: | Live Archive |
Abstract
Let (X, d) be a compact metric space, and (K(X),H) is d induced Hausdorff metric space of all non-empty compact subsets of X. In the paper, we investigated the distributional chaoticity in a sequence of discrete dynamical system (X, f) and the distributional chaoticity in a sequence of set-valued discrete system ( K(X), fbar). And we gave a sufficient condition about the existence of distributionally chaotic sets in a sequence in discrete system (X, f) and discrete dynamical system (K, H).
| Keywords: | Set-valued discrete systems, distributional chaos in a sequence, periodic points, Hausdorff metric. |
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| Subjects: | H Engineering > H610 Electronic Engineering |
| Divisions: | College of Science > School of Engineering |
| ID Code: | 4523 |
| Deposited On: | 05 Jun 2011 19:35 |
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