Memristive Applied Research In Self-Adaptive Filter Circuits And Chaotic Circuits

Memristor with memory function, which has been found in2008, is considered asthe fourth fundamental circuit component besides the resistor, capacitor and inductorin the circuital field. Memristor, which is different from the traditional electroniccomponents, may lead to the revolution of structural system, principle, design theoryon the electronic circuits. The paper has analyzed memristive electrical properties ontwo aspects of theory analysis and numerical simulation, carried on related researchesabout the memristive applications in self-adaptive filter circuits and chaotic circuits,and designed a digital-controlled memristor-based self-adaptive filter circuit and aquadratic memristor-based fourth-order chaotic circuit on the basis of the memristivecharacteristics. the main research work is as follows:(1) Model analysis have been carried on for the memristor, which is a passiveplatinum-titanium dioxide-platinum(PTP is short for Pt-TiO2-Pt) device fabricated byHP Labs. The numerical simulation shows that memristor compared with the otherthree kinds of basic circuit elements has the feature of frequency hysteresis quality,easy-controlled memristance and so on. The volt-ampere characteristic curve of mem-ristor is an inclined figure8with its shape changing along the input signal frequency.The hysteresis curve is shrinking gradually along with frequency increasing. Whenthe frequency becomes infinite, the hysteretic curve will degenerate into a straight linethrough the origin. Meanwhile, memristor is similar to the conventional linear resistorR and its resistance(called memristance M) is equal to its initial state value M0.(2) Based on the initial-state-memristance-related(M0) frequency characteristic ofpassive PTP memristor, a digital-controlled and memristor-based self-adaptive filtercircuit has been designed. The circuit can realize frequency-selecting via changingthe initial memristance M0and then changing the cut-off frequency fc. A digital-controlled and memristor-based self-adaptive filter circuit has been achieved, wherethe memristor has the feature of frequency hysteresis quality and easy-controlledmemristance. The numerical simulation results have verified availability of thedesign.(3) Memristor as a new kind of nonlinear device is easy to design chaotic circuits.The charge-control quadratic memristor model is more practical, which is derivedfrom the passive PTP memristor. Based on the model and the topological dual struct-ure of Chua’s chaotic circuit, a novel memristor-based fourth-order chaotic circuit has been designed. As is verified by the theoretical analysis, simulation results andcircuit realizations, the charge-control quadratic memristor-based chaotic circuit hascomplex dynamical behaviors of state transition along with the variation of thememristive initial state, time and system parameters.The research work carried on has certain reference value for the applications ofmemristor.