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
Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore
Received 26 October 2004
Copyright © 2005 Weihong Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.