基于三阶广义忆阻器的混沌电路及其复杂动力学

Li Xu, Ning Wang, H. Bao, Quan Xu, Mo Chen, B. Bao
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引用次数: 1

摘要

本文提出了一种新的基于三阶广义忆阻器的混沌电路,其中广义忆阻器由一个电感级联的普通二极管桥等效实现。建立数学模型,分析其平衡稳定性。通过MATLAB数值仿真对忆阻混沌电路的动态特性进行了分析,并通过面包板实验测量对其进行了验证。所提出的记忆混沌电路非常简单,只有三阶,但可以产生具有混沌、周期和共存分岔模式的复杂动力学。
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Third-Order Generalized Memristor-Based Chaotic Circuit and its Complex Dynamics
This paper presents a new third-order generalized memristor-based chaotic circuit, in which the generalized memristor is equivalently implemented by a common diode-bridge cascaded with an inductor. Mathematical model is established and its equilibrium stability is analyzed. The dynamical properties of the memristive chaotic circuit are disposed by MATLAB numerical simulations and confirmed by breadboard experimental measurements. The presented memristive chaotic circuit is very simple and only third-order but can emerge complex dynamics with chaos, period, and coexisting bifurcation modes.
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