The analysis of a novel 3-D autonomous system and circuit implementation |
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Authors: | Gaogao Dong Song Zheng Ruijin Du Mei Sun |
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Institution: | a Nonlinear Scientific for Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China b College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 401331, PR China |
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Abstract: | This Letter presents a new three-dimensional autonomous system with four quadratic terms. The system with five equilibrium points has complex chaotic dynamics behaviors. It can generate many different single chaotic attractors and double coexisting chaotic attractors over a large range of parameters. We observe that these chaotic attractors were rarely reported in previous work. The complex dynamical behaviors of the system are further investigated by means of phase portraits, Lyapunov exponents spectrum, Lyapunov dimension, dissipativeness of system, bifurcation diagram and Poincaré map. The physical circuit experimental results of the chaotic attractors show agreement with numerical simulations. More importantly, the analysis of frequency spectrum shows that the novel system has a broad frequency bandwidth, which is very desirable for engineering applications such as secure communications. |
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Keywords: | 05 45 Ac 05 45 Pq 05 45 Vx |
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