Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:B4L-C
Session:
Number:B4L-C-1
Scaling Parameters and Chaos in Generalized 1D Discrete Time Maps
Wafaa S. Sayed, Ahmed G. Radwan, Hossam A. H. Fahmy, Abdel-Latif E. Hussien,
pp.688-691
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Among all chaotic generators, 1D discrete maps are characterized by their simplicity and suitability for digital implementation, in addition to their widely spread applications. Generalizations on 1D discrete maps enhance their unpredictability and increase their reliability in secure communication and encryption. In this paper, three parameterized maps are discussed: scaled positive logistic map (SPLM), scaled mostly positive logistic map (SMPLM), and scaled tent map (STM). The impacts of the introduced scaling parameters on the properties of each map are discussed including: the bifurcation diagram versus the main system parameter, the main keypoints, the maximum chaotic range, and calculation of maximum Lyapunov exponent (MLE) versus all system parameters.