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Discrete Dynamics in Nature and Society 
Volume 2005 (2005), Issue 3, Pages 357-372
doi:10.1155/DDNS.2005.357

Constructing complete chaotic maps with reciprocal structures

Weihong Huang

Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore

Received 26 October 2004

Abstract

A class of unimodal complete chaotic maps f={fL,fR} with reciprocal functional forms (fR=1/fL) are examined. The necessary and sufficient conditions are provided to construct such maps. The theoretical conclusions are then verified by numerical simulations.