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物理学报. 2008, 57(6): 3374-3379.
doi: 10.7498/aps.57.3374.
四阶Colpitts混沌振荡器
- 收稿日期: 2007-08-20
- 修回日期: 2007-11-18
- 刊出日期: 2008-03-05
摘要: 提出了一种新的四阶Colpitts混沌振荡器.理论设计与电路实验表明，在三阶Colpitts混沌振荡器中的电感两端并联一个电容器C3，可构建出一种四阶Colpitts混沌振荡器.当C3的取值变化时，电路的谐振频率随之改变，从而使该振荡器经过倍周期分岔进入混沌状态.对四阶Colpitts混沌振荡器的平衡点、分岔和李氏指数等基本动力学问题进行了分析.最后通过数值仿真和电路实验证实了这一方法的可行性.
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关键词:
- 四阶Colpitts混沌振荡器 /
- 混沌吸引子 /
- 电路实现
English Abstract
Fourth-order Colpitts chaotic oscillator
- Received Date:
20 August 2007
- Accepted Date:
18 November 2007
- Published Online:
05 March 2008
Abstract: A novel fourth-order Colpitts chaotic oscillator is presented. Theoretic design and circuit implementation shows that the fourth-order Colpitts chaotic oscillator can be obtained by parallelizing a capacitor C3 with inductor L in a canonical third-order Colpitts chaotic oscillator. The resonance frequency is changed by adjusting the value of C3, and the oscillator becomes chaotic through doubling period bifurcation. The dynamical behaviors of the fourth-order Colpitts chaotic oscillator are further investigated, including equilibrium points, bifurcations and Lyapunov exponents. Finally, this approach is verified in both numerical simulations and circuit experiments.
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