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Chaos in New 2-D Discrete Mapping and Its Application in Optimization

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2020

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InforMath Publishing Group

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Abstract

In this paper, we propose a new map which is a combination of the Hénon and Lozi maps. We analyze the proposed map numerically and with the aid of bifurcation plots. On the other hand, and as an example of application of this new map, we are going to use it in the chaotic optimisation algorithm. To prove the efficiency of this map, we use numerical results thorought the paper. © 2020 InforMath Publishing Group

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Keywords

Chaos Optimization, Hénon Map, Lozi Map, Test Functions

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Citation

Bououden, R.; Abdelouahab, M.S.; Jarad, Fahd (2020). "Chaos in new 2-d discrete mapping and its application in optimization", Nonlinear Dynamics and Systems Theory, Vol. 20, No. 2, pp. 144-152.

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Nonlinear Dynamics and Systems Theory

Volume

20

Issue

2

Start Page

144

End Page

152
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