Memristor Based van der Pol Oscillation Circuit
Memristor Based van der Pol Oscillation Circuit
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DOI：
10.1142/s0218127414501545
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
Yimin Lu;X. Huang;Shaobin He;Dongdong Wang;Bo Zhang
中科院分区：
文献类型：
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作者：
Yimin Lu;X. Huang;Shaobin He;Dongdong Wang;Bo Zhang
忆阻器被称为第四种基本无源电路元件，其固有的非线性特性可用于构建混沌电路。本文开发了一种磁通控制忆阻器电路，并基于这种新型忆阻器电路实现了范德波尔振荡器。分析了电路的稳定性、Hopf分岔的发生条件以及自激振荡的极限圆；同时，在电路有外部激励源的情况下，电路表现出复杂的非线性动态行为，在一定的参数设置内会出现混沌现象。此外，基于忆阻器的范德波尔振荡器是通过利用有源元件的模拟电路创建的，并且电路响应与范德波尔方程的数值模拟之间具有良好的一致性。因此，提出了一种在非自主电路系统内产生混沌的新方法。
The memristor is referred to as the fourth fundamental passive circuit element of which inherent nonlinear properties offer to construct the chaos circuits. In this paper, a flux-controlled memristor circuit is developed, and then a van der Pol oscillator is implemented based on this new memristor circuit. The stability of the circuit, the occurring conditions of Hopf bifurcation and limit circle of the self-excited oscillation are analyzed; meanwhile, under the condition of the circuit with an external exciting source, the circuit exhibits a complicated nonlinear dynamic behavior, and chaos occurs within a certain parameter set. The memristor based van der Pol oscillator, furthermore, has been created by an analog circuit utilizing active elements, and there is a good agreement between the circuit responses and numerical simulations of the van der Pol equation. In the consequence, a new approach has been proposed to generate chaos within a nonautonomous circuit system.