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Bifurcation phenomena in Wien-bridge oscillators coupled by one resistor

机译:由一个电阻耦合的维恩桥振荡器的分叉现象

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In this paper we investigate the bifurcation phenomena in two Wien-bridge oscillators with the same natural frequency mutually coupled by one resistor. Analysis of coupled oscillator systems have played an very important role in nonlinear science and it is important that the coupled RC oscillator systems are suitable for VLSI implementation in practical applications such as neural networks because they do not include any inductors. In the proposed circuit we can see very complex bifurcation phenomena when the coupling resistance varies which we have not seen in coupled LC oscillator systems. Therefore we believe that this research will play very important role in the various fields concerning nonlinear science.
机译:在本文中,我们研究了两个固有频率相同且由一个电阻器耦合的维恩桥振荡器的分叉现象。耦合振荡器系统的分析在非线性科学中起着非常重要的作用,而耦合RC振荡器系统不包含任何电感器,因此在诸如神经网络等实际应用中适用于VLSI实现是很重要的。在所提出的电路中,当耦合电阻变化时,我们会看到非常复杂的分叉现象,这在耦合LC振荡器系统中是没有的。因此,我们相信这项研究将在涉及非线性科学的各个领域中发挥非常重要的作用。

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