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Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 42876, 16 pages
doi:10.1155/DDNS/2006/42876

Constructing chaotic transformations with closed functional forms

Weihong Huang

School of Humanities and Social Sciences, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

Received 25 May 2006; Accepted 6 June 2006

Abstract

The properties of complete chaotic unimodal transformations with closed functional forms are examined and the necessary and sufficient conditions are provided to construct such transformations. Theoretical findings are verified with computer simulations.