Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors |
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Authors: | Yu Fei Wang Chun-Hu Yin Jin-Wen Xu Hao |
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Affiliation: | College of Information Science and Engineering, Hunan University, Changsha 410082, China |
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Abstract: | In this paper, we propose a novel four-dimensional autonomous chaotic system. Of particular interest is that this novel system can generate one-, two, three- and four-wing chaotic attractors with the variation of a single parameter, and the multi-wing type of the chaotic attractors can be displayed in all directions. The system is simple with a large positive Lyapunov exponent and can exhibit some interesting and complicated dynamical behaviours. Basic dynamical properties of the four-dimensional chaotic system, such as equilibrium points, the Poincaré map, the bifurcation diagram and the Lyapunov exponents are investigated by using either theoretical analysis or numerical method. Finally, a circuit is designed for the implementation of the multi-wing chaotic attractors. The electronic workbench observations are in good agreement with the numerical simulation results. |
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Keywords: | multi-wing chaotic attractors four-dimensional chaotic system Poincaré map bifurcation diagram |
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