On Two-Dimensional Fractional Chaotic Maps with Symmetries

Fatima Hadjabi, Adel Ouannas, Nabil Shawagfeh, Amina-Aicha Khennaoui, Giuseppe Grassi
2020 Symmetry  
In this paper, we propose two new two-dimensional chaotic maps with closed curve fixed points. The chaotic behavior of the two maps is analyzed by the 0–1 test, and explored numerically using Lyapunov exponents and bifurcation diagrams. It has been found that chaos exists in both fractional maps. In addition, result shows that the proposed fractional maps shows the property of coexisting attractors.
doi:10.3390/sym12050756 fatcat:nqjhkolbcjhlhpul76pnwz5tnm