Abstract

In this paper, we study a memristor chaotic system with bias control. Based on the analysis of basic dynamic behavior, the hidden attractor coexistence and multi-stability of the non-equilibrium memristor chaotic system are verified, the bias control based on DC power control is studied, and the polarity control of the output variable is realized by using the change of parameters. The sinusoidal function is introduced as the bias periodic function, so that the system can realize signal polarity control only by changing the initial conditions. The analog circuit of memristor chaotic system is designed and verified by simulation..

Highlights

  • In 1971, Chua proposed a memristor to represent the relationship between charge and flux from the view of symmetry when analyzing the relation among the voltage, current, charge and flux

  • It was found in literature [6] that multiple attractors coexist in neural networks

  • We study a bias control system of memristor chaos, and verify the coexistence and multistability of hidden attractors by analyzing the basic dynamics behavior

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Summary

Introduction

In 1971, Chua proposed a memristor to represent the relationship between charge and flux from the view of symmetry when analyzing the relation among the voltage, current, charge and flux. The hidden attractors[2], coexisting attractors, multistability[3], symmetry[4], amplitude modulation[5], and offset boosting studied in chaotic systems become the research problems of amnesic chaotic systems. It was found in literature [6] that multiple attractors coexist in neural networks. The hidden attractor is a hot research point at present, adding memristor in chaotic system will make the system have an equilibrium set on some coordinate axis, so it is necessary to study the hidden attractor in chaotic system. By introducing the sine function as the bias periodic function, the signal polarity control can be realized only by changing the initial conditions

Formatting the title Mathematical model
Basic dynamic analysis
Multistability analysis
Bias control based on voltage source
Bias control based on initial conditions
Circuit implementation
Conclusions and discussion
Full Text
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