基于单放大器双二阶的无电感蔡氏电路
Single amplifier biquad based inductor-free Chua's circuit
摘要：
本文提出了一种无电感蔡氏电路的实现方法，它是将一个基于双二阶放大器的有源带通滤波器与一个蔡氏二极管适当级联而成。该系统已被数学建模与三耦合的一阶自治非线性微分方程。通过数学模型的数值模拟和硬件实验，已经表明该电路模拟了经典蔡氏电路的行为，例如，不动点行为、极限环振荡、倍周期级联、混沌螺旋吸引子、混沌双涡卷和边界危机。通过实验功率谱确定了混沌振荡的发生，并用李雅普诺夫指数等动力学指标进行了量化。
英文摘要：
The present paper reports an inductor-free realization of Chua's circuit, which is designed by suitably cascading a single amplifier biquad based active band pass filter with a Chua's diode. The system has been mathematically modeled with three-coupled first-order autonomous nonlinear differential equations. It has been shown through numerical simulations of the mathematical model and hardware experiments, that the circuit emulates the behaviors of a classical Chua's circuit, e.g., fixed point behavior, limit cycle oscillation, period doubling cascade, chaotic spiral attractors, chaotic double scrolls and boundary crisis. The occurrence of chaotic oscillation has been established through experimental power spectrum, and quantified with the dynamical measure like Lyapunov exponents.
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