含非線性滯回電感電路的分叉和渾沌
BIFURCATION AND CHAOS IN A NON-LINEAR CIRCUIT CONTAINING A HYSTERESIS INDUCTOR
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摘要: 本文利用滯回電阻實現(xiàn)了滯回電感,然后研究了包含該滯回電感的二階非自激動態(tài)電路中的分叉和渾沌行為。計算機模擬和實驗結(jié)果是定性相似的。系統(tǒng)的分叉結(jié)果具有應(yīng)用價值。
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關(guān)鍵詞:
- 非線性電路; 滯回電感; 分叉; 渾沌
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,物理學(xué)進展,3(1983)3,329-416.[2]郭汾,裴留慶,吳淑賢,電子學(xué)報,1986年,第1期,第30-35頁.[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]燕慶明,非線性電路與系統(tǒng),西北電訊工程學(xué)院,內(nèi)部教材,1986,第1章,第29-43頁. -
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