A hyperchaotic Lorenz attractor and its circuit implementation

作者：Wang Guang Yi^*; Zheng Yan; Liu Jing Biao

来源：Acta Physica Sinica, 2007, 56(6): 3113-3120.

DOI：10.7498/aps.56.3113

• Lorenz system
• hyperchaotic attractor
• circuit implementation

In this paper, a new hyperchaotic system is constructed by introducing an additional state variable into the third-order Lorenz system. Some basic properties, including dissipativity, equlibria, stability and Hopf bifurcation, of this hyperchaotic system are analyzed in detail, and the bifurcation routes to hyperchaos from periodic, chaotic evolutions are observed. The existence of hyperchaos is verified with Lyapunov exponent spectrum. Moreover, an analog electronic circuit is designed, and various hyperchaotic attractors of this system are observed from the circuit experiments.

• 出版日期2007-6
• 单位杭州电子科技大学