¹School of Mathematics andComputerScience, Panzhihua University, Panzhihua 617000, China
²School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China

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Abstract—Recent interest has been paid to chaoticsystems with infinite number of equilibrium points. In this work, we construct a chaotic system with equilibrium points of rectangle loop. Basic dynamical properties, including phase portrait, equilibrium point and bifurcation of the new system, are investigated numerically and theoretically. Analyses show that this system can generate multiple attractors with different initial values, which reveals its rich dynamics. A simple control scheme with linear controller is designed to synchronize the systems, and the feasibility is verified by the numerical simulations.

Index Terms—linear control, loop equilibrium, multiple attractors, synchronization.

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Cite: Wei Feng, Yigang He, "Constructing, Analyzing and Synchronizing a Chaotic System with Equilibria of Rectangle Loop," Journal of Software vol. 13, no. 4, pp. 页码, 2018.