On Two-Dimensional Fractional Chaotic Maps with Symmetries
Fatima Hadjabi, Adel Ouannas, Nabil Shawagfeh, Amina–Aicha Khennaoui, Giuseppe Grassi
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.
Topics & Concepts
Lyapunov exponentChaoticAttractorMathematicsBifurcation diagramBifurcationHomogeneous spaceProperty (philosophy)Statistical physicsMathematical analysisComputer sciencePhysicsGeometryNonlinear systemArtificial intelligenceEpistemologyPhilosophyQuantum mechanicsChaos control and synchronizationQuantum chaos and dynamical systemsMathematical Dynamics and Fractals