Simplest Chaotic Circuit

Muthuswamy, Bharathwaj; Chua, Leon O.

doi:10.1142/s0218127410027076

Cited by 458 publications

(261 citation statements)

References 17 publications

Supporting

Mentioning

248

Contrasting

Unclassified

Order By: Relevance

“…Consider the three-element circuit with the memristor properties [6]. The equations for the memristor based chaotic circuit are described by set of follows an ordinary differential equations (ODE)…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Last five years, the research of circuits containing memristor is becoming a hot topic in the circuit theory and chaos. Over this period, chaotic attractor has been observed in many autonomous memristor based chaotic circuits and many authors papers uses a passive nonlinearity based on memristor [4][5][6][7][8][9][10][11][12][13]. Chaotic oscillator containing memristor still attracts attention.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper is presented memristor based chaotic circuit synthesis based on mathematical model published by Muthuswamy and Chua [6].Muthuswamy and Chua used the classical operational amplifier as the basic building block for circuit synthesis. Compared to them we used an operational transconductance amplifier with a single output (OTA) and multiple output (MOTA).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Hrubos

Götthans

2014

Journal of Electrical Engineering

View full text Add to dashboard Cite

This paper provides an innovative practical realization of a memristor based chaotic circuit. The first part discusses the mathematical analysis of the proposed system, including calculation of an eigenvalues, bifurcation diagram and largest Lyapunov exponents. Another parts deal with circuitry realization and the influence of parasitic properties of active elements. The circuit simulations obtained by PSpice environment and the practical measurement results on a breadboard are presented in the last part of this paper. The main aim of this work is an innovative realization of the memristor based chaotic circuit with one type of energy-storage element (linear passive capacitor) and with simpler construction in comparison to other circuits. The next contribution consists in verification of designed circuit with respect to influence of parasitic properties of active elements to chaos destruction. K e y w o r d s: differential equations,

show abstract

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Hrubos

Götthans

2014

Journal of Electrical Engineering

View full text Add to dashboard Cite

show abstract

“…In [7] an autonomous circuit that uses only a linear passive inductor, a linear passive capacitor, and a memristor was proposed. The chaotic circuits like in [3,4,7] are used for applications of secure combination and image encryption [25]. Although there are many other variations of a memristor-based Chua's circuit in the literature used to obtain different chaotic behaviors, the current study aims to learn the behavior of the chaotic circuits in [3,4] due to the exhibition of chaotic behavior by a smaller number of components than the others [26].…”

Section: Introductionmentioning

confidence: 99%

Behavior learning of a memristor-based chaotic circuit by extreme learning machines

Uçar¹,

Yavşan²

2016

Turk J Elec Eng & Comp Sci

View full text Add to dashboard Cite

Abstract:As the behavior of a chaotic Chua's circuit is nonstationary and inherently noisy, it is regarded as one of the most challenging applications. One of the fundamental problems in the prediction of the behavior of a chaotic Chua's circuit is to model the circuit with high accuracy. The current paper presents a novel method based on multiple extreme learning machine (ELM) models to learn the chaotic behavior of the four elements canonical Chua's circuit containing a memristor instead of a nonlinear resistor only by using the state variables as the input. In the proposed method four ELM models are used to estimate the state variables of the circuit. ELMs are first trained by using the data spoilt by noise obtained from MATLAB models of a memristor and Chua's circuit. A multistep-ahead prediction is then carried out by the trained ELMs in the autonomous mode. All attractors of the circuit are finally reconstructed by the outputs of the models. The results of the four ELMs are compared to those of multiple linear regressors (MLRs) and support vector machines (SVMs) in terms of scatter plots, power spectral density, training time, prediction time, and some statistical error measures. Extensive numerical simulations results show that the proposed system exhibits a highly accurate multistep iterated prediction consisting of 1104 steps of the chaotic circuit. Consequently, the proposed model can be considered a promising and powerful tool for modeling and predicting the behavior of Chua's circuit with excellent performance, reducing training time, testing time, and practically realization probability.

show abstract

“…[1][2][3][4] However, memristor is not commercially available so far. Thus various techniques and circuits have been reported by utilizing the off-the-shelf components to emulate a real memristor's characteristics, such as the technique by controlling the cubic polynomial function implemented by two multipliers, [5][6][7] technique based on complementary MOS field effect transistors and one multiplier, 8 based on diode bridge circuit, 9,10 the current feedback operational amplifier (CFOA), 11 the light dependent resistor, 12 and so on. On the other hand, colpitts oscillator, for its simple circuit structure and potential applications in secure communication, has been studied by many researchers for decades.…”

mentioning

confidence: 99%

Circuit simulation and physical implementation for a memristor-based colpitts oscillator

Deng

Wang

2017

AIP Advances

View full text Add to dashboard Cite

This paper implements two kinds of memristor-based colpitts oscillators, namely, the circuit where the memristor is added into the feedback network of the oscillator in parallel and series, respectively. First, a MULTISIM simulation circuit for the memristive colpitts oscillator is built, where an emulator constructed by some off-the-shelf components is utilized to replace the memristor. Then the physical system is implemented in terms of the MULTISIM simulation circuit. Circuit simulation and experimental study show that this memristive colpitts oscillator can exhibit periodic, quasi-periodic, and chaotic behaviors with certain parameter’s variances. Besides, in a sense, the circuit is robust with circuit parameters and device types.

show abstract

Simplest Chaotic Circuit

Cited by 458 publications

References 17 publications

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Analysis and Synthesis of Chaotic Circuits using Memristor Properties

Behavior learning of a memristor-based chaotic circuit by extreme learning machines

Circuit simulation and physical implementation for a memristor-based colpitts oscillator

Contact Info

Product

Resources

About