含非线性滞回电感电路的分叉和浑沌
BIFURCATION AND CHAOS IN A NON-LINEAR CIRCUIT CONTAINING A HYSTERESIS INDUCTOR
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摘要: 本文利用滞回电阻实现了滞回电感,然后研究了包含该滞回电感的二阶非自激动态电路中的分叉和浑沌行为。计算机模拟和实验结果是定性相似的。系统的分叉结果具有应用价值。
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关键词:
- 非线性电路; 滞回电感; 分叉; 浑沌
Abstract: A hysteresis inductor via a hysteresis resistor is realized. Then the behaviors of bifurcation and chaos in a second-order non-autonomous dynamic circuit containing the hysteresis inductor are studied. The results of computer simulation agree well with the experiments in qualitative behaviour. The bifurcation results obtained are valuable. -
郝柏林,物理学进展,3(1983)3,329-416.[2]郭汾,裴留庆,吴淑贤,电子学报,1986年,第1期,第30-35页.[3]Liu Qing Pei,al., IEEE Trans. on CAS, CAS-33(1986)4, 438-442.[4]L. O. Chua, et al., Int. J. Cir.Theor. Appl., 14(1986), 315-329.[5]C-L. J. Hu, IEEE Trans. on CAS, CAS-33(1986)6, 636-641.[6]燕庆明,非线性电路与系统,西北电讯工程学院,内部教材,1986,第1章,第29-43页. -
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