![](/images/graphics-bg.png)
Design of Positive, Negative, and Alternating Sign Generalized Logistic Maps
Joint Authors
Sayed, Wafaa S.
Radwan, Ahmed G.
Fahmy, Hossam A. H.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
The discrete logistic map is one of the most famous discrete chaotic maps which has widely spread applications.
This paper investigates a set of four generalized logistic maps where the conventional map is a special case.
The proposed maps have extra degrees of freedom which provide different chaotic characteristics and increase the design flexibility required for many applications such as quantitative financial modeling.
Based on the maximum chaotic range of the output, the proposed maps can be classified as positive logistic map, mostly positive logistic map, negative logistic map, and mostly negative logistic map.
Mathematical analysis for each generalized map includes bifurcation diagrams relative to all parameters, effective range of parameters, first bifurcation point, and the maximum Lyapunov exponent (MLE).
Independent, vertical, and horizontal scales of the bifurcation diagram are discussed for each generalized map as well as a new bifurcation diagram related to one of the added parameters.
A systematic procedure to design two-constraint logistic map is discussed and validated through four different examples.
American Psychological Association (APA)
Sayed, Wafaa S.& Radwan, Ahmed G.& Fahmy, Hossam A. H.. 2015. Design of Positive, Negative, and Alternating Sign Generalized Logistic Maps. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-23.
https://search.emarefa.net/detail/BIM-1060691
Modern Language Association (MLA)
Sayed, Wafaa S.…[et al.]. Design of Positive, Negative, and Alternating Sign Generalized Logistic Maps. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-23.
https://search.emarefa.net/detail/BIM-1060691
American Medical Association (AMA)
Sayed, Wafaa S.& Radwan, Ahmed G.& Fahmy, Hossam A. H.. Design of Positive, Negative, and Alternating Sign Generalized Logistic Maps. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-23.
https://search.emarefa.net/detail/BIM-1060691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060691