Introduction

Stavroulakis, Peter

doi:10.1201/9780203025314.ch1

Cited by 20 publications

(25 citation statements)

References 1 publication

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“…However, it was not until its solid-state fabrication in 2008 [2] that it attracted significant interest in view of its many potential applications ranging from secure communications [3] to a low-cost technology for non-volatile memories [4]. In this letter, we examine the simulation and analysis of a chaotic memristor-based circuit when it is subject to a high-frequency forcing function.…”

Section: Simulation Of Memristors In the Presence Of A High-frequencymentioning

confidence: 99%

Simulation of memristors in presence of high-frequency forcing function

2012

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The letter is concerned with the simulation of MEMRISTORS when they are subject to high-frequency forcing functions. A novel asymptotic-numeric simulation method is applied.For systems involving high-frequency signals or forcing functions, the superiority of the proposed method in terms of accuracy and efficiency when compared to standard simulation techniques shall be illustrated. Relevant dynamical properties in relation to the method shall also be considered.Introduction: Leon O. Chua postulated the memristor as the fourth circuit element in 1971 [1]. However, it was not until its solid-state fabrication in 2008 [2] that it attracted significant interest in view of its many potential applications ranging from secure communications [3] to a low-cost technology for non-volatile memories [4]. In this letter, we examine the simulation and analysis of a chaotic memristor-based circuit when it is subject to a high-frequency forcing function. The behaviour of the circuit is governed by a nonlinear differential equation system. However, the presence of the high-frequency forcing function renders solution by standard quadrature techniques expensive and inefficient. To this end, this letter proposes a novel simulation technique that unlike traditional quadrature techniques improves as frequency increases.

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Section: Simulation Of Memristors In the Presence Of A High-frequencymentioning

confidence: 99%

Simulation of memristors in presence of high-frequency forcing function

2012

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“…Therefore, a replacement that behaves like a real memristor (named as memristor emulator) is urgently needed to allow researchers to study the application circuits of memristors [6]. Beside the applications at the nano-scale of the memristor as mentioned earlier, the use of the memristor which replaces for the nonlinear diode in Chua's chaotic oscillators for secure communication purposes has become an active area of theoretical and experimental investigations [7,8]. Among various types of chaotic oscillators, Chua's canonical circuit is one of the most typical instances since it is simple and contains a wide range of dynamic behaviors.…”

Section: Introductionmentioning

confidence: 99%

“…Another element to be considered in the chaotic circuits is the positive function chosen to represent the memductance of the memristor, which has a relevant effect on the circuit dynamics [13]. In fact, all of the published studies are limited within demonstrating chaotic dynamics of Chua's system with a memristor owning a fixed memductance profile [7,8,9,10,11,13,14,15]; thus, there is a lack of a view in which a change of the memductance profile of the memristor might vary the dynamics of Chua's circuit.…”

Section: Introductionmentioning

confidence: 99%

Variable cubic-polynomial memristor based canonical Chua’s chaotic circuit

Nguyen

Nam

Kim

et al. 2016

IEICE Electron. Express

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In this letter, the Chua's circuit with an active variable memristor is presented for the first time. The central concept behind the variable memristor is that its memductance could be controlled by changing the cubic function which describes a relationship between the flux and charge of the memristor. It was found that chaotic dynamics of the variable-memristorbased Chua's circuit could be easily controlled according to the memductance profile of the memristor. The controllable chaotic dynamics in the circuit were studied thoroughly by the numerical analysis. The rich dynamics of the Chua's circuit using the proposed variable memristor were verified in terms of the time series, frequency spectra, phase states, bifurcation and Lyapunov exponents. These results were also confirmed by laboratory experiments.

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“…So, the chaos-based communication systems offer advantages as resistance to jamming, robustness in multi-path environments [7,10], low probability of interception [11]. In addition, the complex-like behavior of chaotic signals propitiates secrecy in a physical level, and the easy-to-generate property of these signals offers a potential solution to implement low-cost systems [2,12,13]. Several coherent and non-coherent chaotic modulation schemes have been proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

A smooth chaotic map with parameterized shape and symmetry

Chaves

Souza

Pimentel

2016

EURASIP J. Adv. Signal Process.

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We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered with the variation of its parameters. As the main application, we consider a chaotic communication system based on symbolic dynamics with advantages over current approaches that use piecewise linear maps. In this context, we propose a new measure, namely, the spread rate, to study the local structure of the chaotic dynamics of a one-dimensional chaotic map.

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Introduction

Cited by 20 publications

References 1 publication

Simulation of memristors in presence of high-frequency forcing function

Simulation of memristors in presence of high-frequency forcing function

Variable cubic-polynomial memristor based canonical Chua’s chaotic circuit

A smooth chaotic map with parameterized shape and symmetry

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