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
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.