一种n涡卷混沌发生器研究

Research on n-Scroll Chaos Generator

在蔡氏电路的基础上,对一种n涡卷混沌信号发生器进行了深入的研究。首先讨论了在该蔡氏电路里非线性部分的分段线性特性,进而扩展了该分段特性,建立了该系统的数学模型并做出了仿真,仿真结果证实了预期的结果;然后研究了平衡点和涡卷之间的相互关系;最后,研究了该系统的比例尺度性质。

Based on the modified Chua’s circuit,a deep study on an n-scroll chaos generator was made. First,the characteristics of the piecewise linearity in nonlinear part were discussed for the Chua’s circuit. The nonlinear part was subsequently modified and extended. And the mathematic model of the generator was built. The simulation proves the anticipated result. Then the relationship between equilibrium points and scrolls were researched. Finally,the scaling properties of the system were also studied.