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Memristors: A New Approach in Nonlinear Circuits Design

机译:忆阻器:非线性电路设计的新方法

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The conception of memristor as the fourth fundamental component in circuit theory, creates a new approach in nonlinear circuit design. In this paper the complex dynamics of Chua's canonical circuit implemented by using a memristor instead of the nonlinear resistor, was studied. The proposed memristor is a flux-controlled one, described by the function W(cp) = dq(cp)/dcp, where q(cp) is a cubic function. Computerrnsimulation of the dynamic behaviour of a Chua circuit incorporating a memristor, confirmed very important phenomena concerning Chaos Theory, such us, the great sensitivity of circuit behavior on initial conditions, the route to chaos through the mechanism of period doubling, as well as antimonotonicity.
机译:忆阻器是电路理论中的第四基本组成部分,它为非线性电路设计提供了一种新方法。本文研究了使用忆阻器代替非线性电阻实现蔡氏经典电路的复杂动力学。拟议的忆阻器是一种由通量控制的忆阻器,由函数W(cp)= dq(cp)/ dcp描述,其中q(cp)是三次函数。计算机模拟了一个装有忆阻器的Chua电路的动态行为,证实了有关混沌理论的非常重要的现象,例如,电路在初始条件下的灵敏度高,通过倍频机制达到混沌的途径以及反单调性。

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