About the Possibility of Chaotic Oscillations of Charge on Ferroelectric Capacitor with Negative Differential Capacity in Oscillatory Circuit with Fractal Input Voltage

Potapov, A.A.; Rakut, I.V.; Rassadin, A.E.; Tronov, A.A.

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About the Possibility of Chaotic Oscillations of Charge on Ferroelectric Capacitor with Negative Differential Capacity in Oscillatory Circuit with Fractal Input Voltage

Authors

Date of publication

2018

DOI

10.31114/2078-7707-2018-1-76-82

Abstract

— In the paper presented new kind of integrated ferroelectric device has been described. The device is oscillatory circuit with ferroelectric capacitor with negative differential capacitance under the action of fractal input voltage. We underline that we have considered realistic model of oscillatory circuit taking into account resistance of inductance and leakage of charge from ferroelectric capacitor. Also in the paper two different architectures for generator of fractal signal have been compared, only one of them having been selected as source of input voltage. For the oscillatory circuit under investigation the Mel’nikov function has been calculated explicitly. This function proves to be alternating in sign under the wide range of its parameters. In accordance with the Mel’nikov criterion it means that under these parameters the system is the generator of chaotic electrical oscillations. In brief the essence of the effect discovered one can describe by the following words: fractal gives rise to chaos. This theoretical conclusion has been verified in the framework of numerical simulation, estimations of orders for physical values for the sample of bilayer ferroelectric capacitor with negative differential capacitance having been done. Thus on the simplest example it has been demonstrated that synthesis of two the newest scientific directions, namely, integrated ferroelectrics and fractal radio systems, results in appearance of radio engineering devices with qualitatively new properties. The feature of the system investigated is compatibility with CMOS-technology therefore this system can be placed on a single chip. It means that it is convenient to use the abovedescribed generator of chaotic electric signals in broadband communication systems.

Keywords

homoclinic loop, split separatrix function, band-pass filter, the Weierstrass function, fractal dimension, lead zirconate-titanate, strontium titanate.

Library reference

Potapov A.A., Rakut I.V., Rassadin A.E., Tronov A.A. About the Possibility of Chaotic Oscillations of Charge on Ferroelectric Capacitor with Negative Differential Capacity in Oscillatory Circuit with Fractal Input Voltage // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2018. Issue 1. P. 76-82. doi:10.31114/2078-7707-2018-1-76-82

URL of paper

http://www.mes-conference.ru/data/year2018/pdf/D090.pdf