Research on chaos caused by a transitive map based on intelligent materials

Wang, Lidong and 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

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Official URL: http://dx.doi.org/10.1007/978-3-642-23756-0_44

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).

Item Type:Article
Keywords:Set-valued discrete systems, distributional chaos in a sequence, periodic points, Hausdorff metric.
Subjects:H Engineering > H610 Electronic Engineering
Divisions:College of Science > School of Engineering
ID Code:4523
Deposited By:INVALID USER
Deposited On:05 Jun 2011 19:35
Last Modified:31 Jul 2013 15:00

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