Abstract
Over the last three decades, theoretical design and circuitry implementation of various chaotic generators by simple electronic circuits have been a key subject of nonlinear science. In 2008, the successful development of memristor brings new activity for this research. Memristor is a new nanometre‐scale passive circuit element, which possesses memory and nonlinear characteristics. This makes it have a unique charm to attract many researchers’ interests. In this paper, memristor, for the first time, is introduced in a delayed system to design a signal generator to produce chaotic behaviour. By replacing the nonlinear function with memristors in parallel, the memristor oscillator exhibits a chaotic attractor. The simulated results demonstrate that the performance is well predicted by the mathematical analysis and supports the viability of the design.
Highlights
The memristor, characterized by a relation of the type f φ, q 0, is a nanometer-scale circuit element postulated by Chua in 1971 1 on the basis of the conceptual symmetry between the resistor, inductor, and capacitor
TiO2 Memristor with Linear Dopant Drift In HP’s memristor, a titanium dioxide TiO2 layer and an oxygen-poor titanium dioxide TiO2−x layer are sandwiched between two platinum electrodes, shown as Figure 1
Let D be the physical length of the memristor, μV 10−14 m2s−1V−1 is the dopant mobility, RON and ROFF are the low resistance and higher resistance areas, respectively
Summary
The memristor, characterized by a relation of the type f φ, q 0, is a nanometer-scale circuit element postulated by Chua in 1971 1 on the basis of the conceptual symmetry between the resistor, inductor, and capacitor. After 37 years a team at HP Labs announced 2 the first physical realization of a memristor and a mathematical model accounting for its behavior. This missing memristor is a new nanometer-size two-terminal circuit element characterized by a relationship between charge and flux. Theoretical design and circuitry implementation of various chaotic generators by simple electronic circuits have been a key subject of nonlinear science 4. Considering the nanoscopic scale size and the nonlinear characteristics of memristor, more rich chaotic behaviors should be generated if replacing the nonlinear circuit with memristor. A delayed system utilizing TiO2 memristors as nonlinear function is proposed to generate chaotic signals
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