The Australian Journal of Mathematical Analysis and Applications

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Paper's Title:

Lozi Maps With Max Function and its Application


Abdellah Menasri

Higher National School of Forests,


In this paper, we study the Lozi map by replacing the piecewise linear term in the first equation by the function max (f(x,y);g(x,y)) such that f and g are two arbitrary functions in R2. This is a family model that allows us to study several new piecewise-smooth maps. We demonstrate that these models converge to a robust chaotic attractor and give some applications of these models in the real world.

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