Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 169 - 178
(August 2018) http://dx.doi.org/10.17654/DE019030169 |
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A NEW TWO-DIMENSIONAL PIECEWISE SMOOTH MAP
Abdellah Menasri
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Abstract: The Lozi mapping is a homeomorphism p of defined by For some values of a and b, Lozi observed complicated behaviour for the trajectories of this system. For and , one observes numerically a strange attractor, which is very similar to the attractor of the Hénon.
In this paper, we present a new two-dimensional piecewise smooth map, similar to that of Lozi. We show that this map exhibits a chaotic behavior and provides a new robust chaotic attractor for some values of these two bifurcation parameters. |
Keywords and phrases: Lozi map, two-dimensional piecewise smooth map. |
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