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On Two-Dimensional Fractional Chaotic Maps with Symmetries

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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… Click to show full abstract

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.

Keywords: fractional chaotic; two dimensional; maps symmetries; chaotic maps; dimensional fractional

Journal Title: Symmetry
Year Published: 2020

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