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Research Article
Mathematical Problems in Engineering
Volume 2015, Article ID 815370, 3 pages
Letter to the Editor

Comment on “An Investigation into the Performance of Particle Swarm Optimization with Various Chaotic Maps”

1School of Computer Science and Technology, Nanjing Normal University, Nanjing, Jiangsu 210023, China
2Translational Imaging Division and MRI Unit, Columbia University and New York State Psychiatric Institute, New York, NY 10032, USA
3School of Natural Sciences and Mathematics, Shepherd University, Shepherdstown, WV 25443, USA

Received 9 February 2015; Accepted 23 March 2015

Academic Editor: Marzio Pennisi

Copyright © 2015 Yudong Zhang et al. 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.


This paper researched three definitions of Gauss map and found that the definition of “Gauss map” in the paper of Arasomwan and Adewumi may be incoherent with other publications. In addition, we analyzed the difference of continuous Gauss map and the floating-point Gauss map, and we pointed out that the floating-point simulation behaved significantly differently from the continuous Gauss map.