Implementing Memristor Based Chaotic Circuits

Muthuswamy, Bharathwaj

doi:10.1142/s0218127410026514

Cited by 559 publications

(296 citation statements)

References 12 publications

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“…which make system (1) chaotic [22,23]. Figure 1 shows the chaotic phenomenon of this system with the initial condition (V 1 (0), V 2 (0), (0), (0)) = (0.1302, 0.0924, 0.0078, 0.1253) .…”

Section: Memristor Based Chaotic Circuit and Its Equivalent Formmentioning

confidence: 99%

“…Muthuswamy [22] provided a practical implementation of a memristor based chaotic circuit. By applying impulsive control theory, Yang et al [23] obtained some sufficient conditions for the asymptotic stabilization and synchronization of the memristor based chaotic system shown in [22].…”

Section: Introductionmentioning

confidence: 99%

“…In this note, we shall also consider the asymptotic stabilization and synchronization of memristor based chaotic circuits, as in [22]. We first derive a less conservative sufficient condition for the stability of the memristor based chaotic circuits shown by Muthuswamy [22].…”

Section: Introductionmentioning

confidence: 99%

“…We first derive a less conservative sufficient condition for the stability of the memristor based chaotic circuits shown by Muthuswamy [22]. In many practical applications, we cannot guarantee the systems without any error due to the limit of equipment and technology.…”

Section: Introductionmentioning

confidence: 99%

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Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

et al. 2017

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The purpose of this note is to study impulsive control and synchronization of memristor based chaotic circuits shown by Muthuswamy. We first establish a less conservative sufficient condition for the stability of memristor based chaotic circuits. After that, we discuss the effect of errors on stability. Meanwhile, we also discuss impulsive synchronization of two memristor based chaotic systems. Our results are more general and more applicable than the ones shown by Yang, Li, and Huang. Finally, several numerical examples are given to show the effectiveness of our methods.

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“…which make system (1) chaotic [22,23]. Figure 1 shows the chaotic phenomenon of this system with the initial condition (V 1 (0), V 2 (0), (0), (0)) = (0.1302, 0.0924, 0.0078, 0.1253) .…”

Section: Memristor Based Chaotic Circuit and Its Equivalent Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

et al. 2017

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“…[12][13][14][15][16][17][18] • Provide perfect security via the key size, which can be tuned to match the message length.…”

Section: Introductionmentioning

confidence: 99%

Novel secret key generation techniques using memristor devices

et al. 2016

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This paper proposes novel secret key generation techniques using memristor devices. The approach depends on using the initial profile of a memristor as a master key. In addition, session keys are generated using the master key and other specified parameters. In contrast to existing memristor-based security approaches, the proposed development is cost effective and power efficient since the operation can be achieved with a single device rather than a crossbar structure. An algorithm is suggested and demonstrated using physics based Matlab model. It is shown that the generated keys can have dynamic size which provides perfect security. Moreover, the proposed encryption and decryption technique using the memristor based generated keys outperforms Triple Data Encryption Standard (3DES) and Advanced Encryption Standard (AES) in terms of processing time. This paper is enriched by providing characterization results of a fabricated microscale Al/TiO2/Al memristor prototype in order to prove the concept of the proposed approach and study the impacts of process variations. The work proposed in this paper is a milestone towards System On Chip (SOC) memristor based security.

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Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation

Shi-yi

Song

et al. 2013

Circuit Theory & Apps

115

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We study a four-dimensional system modified from a three-dimensional chaotic circuit by adding a memristor, which is a new fundamental electronic element with promising applications. Although the system has a line of infinitely many equilibria, our studies show that when the strength of the memristor increases, it can exhibit rich interesting dynamics, such as hyperchaos, long period-1 orbits, transient hyperchaos, as well as non-attractive behaviors frequently interrupting hyperchaos. To verify the existence of hyperchaos and reveal its mechanism, a horseshoe with two-directional expansion is studied rigorously in detail by the virtue of the topological horseshoe theory and the computer-assisted approach of a Poincaré map. At last, the system is implemented with an electronic circuit for experimental verification.

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Implementing Memristor Based Chaotic Circuits

Cited by 559 publications

References 12 publications

Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

Novel secret key generation techniques using memristor devices

Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation

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