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中国物理学会期刊

四阶Colpitts混沌振荡器

CSTR: 32037.14.aps.57.3374

Fourth-order Colpitts chaotic oscillator

CSTR: 32037.14.aps.57.3374
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  • 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.

     

    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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