Chaotic Cryptography Using Augmented Lorenz Equations Aided by Quantum Key Distribution

Cho, Kenichiro; Miyano, Takeshi

doi:10.1109/tcsi.2014.2365767

Cited by 55 publications

(42 citation statements)

References 53 publications

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“…. , m N ) with an exponentially large size of the key space [3]. Simple settings of m n are m 1 = 1 and m n for n ≥ 2 randomly taking values of n and n + 1/2.…”

Section: Augmented Rössler Equations and Their Synchronizabilitymentioning

confidence: 99%

“…The AL equations are a system of 2N + 1 ordinary differential equations expressing nondimensionalized equations of motion of a chaotic gas turbine. Although our gas turbine was originally of no industrial use, the AL equations were shown to be applicable to a chaos-based stream cipher [3].…”

Section: Introductionmentioning

confidence: 99%

“…Other applications of chaos to cryptography are a stream cipher proposed by Argyris et al [9], chaotic shift keying [10], controlling chaos [11][12][13], distributed dynamics encryption [14,15], and a chaotic block cipher [16]. None of the previous cryptographic methods were used in our stream cipher using the AL equations, where a secure method for exchanging the secret key was necessary and tentatively assumed to be performed using a quantum key distribution [3]. However, the chaotic synchronization of coupled star networks of nonlinear oscillators may be applicable to the construction of a method for securely exchanging the secret key of our cryptosystem.…”

Section: Introductionmentioning

confidence: 99%

“…They introduced transient decoupling of the oscillators when the trajectory of the response oscillator entered a particular clipping region of the state-space, showing that chaotic synchronization was sustained despite such intermittent decoupling. In this paper, we examine the effect of intermittent coupling between nonidentical AR oscillators, envisaging a possible application to chaotic cryptography, in particular, to secret-key distribution for a recently proposed chaotic cipher [3]. For this purpose, we introduce intermittent periodic mutual diffusive coupling to the AR oscillators.…”

Section: Introductionmentioning

confidence: 99%

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Intermittent and partial synchrony of coupled augmented Rössler oscillators

Cho

Miyano

2018

NOLTA

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Inspired by the augmented Lorenz equations, we have designed a star network of Rössler oscillators, referred to as augmented Rössler equations, in which each Rössler oscillator is coupled with the other oscillators via a single variable y as the central node of the whole network. We investigate the dynamical nature of the augmented Rössler equations in terms of the bifurcation diagram of a single augmented Rössler oscillator and the chaotic synchronizability of coupled augmented Rössler oscillators, and show that intermittent synchronization between identical augmented Rössler oscillators as well as partial synchronization between nonidentical ones can be achieved via direct coupling of the central nodes. We also show that nonidentical augmented Rössler oscillators coupled via intermittent mutual diffusive coupling exhibit partial synchrony, despite the intermittency of the diffusive coupling. We discuss possible application of such synchronous behavior in terms of chaos-based secret key distribution.

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“…. , m N ) with an exponentially large size of the key space [3]. Simple settings of m n are m 1 = 1 and m n for n ≥ 2 randomly taking values of n and n + 1/2.…”

Section: Augmented Rössler Equations and Their Synchronizabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Intermittent and partial synchrony of coupled augmented Rössler oscillators

Cho

Miyano

2018

NOLTA

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“…Autonomous chaotic oscillators have recently been of much interest in order to a variety of applications in science and engineering such as chaos-based secure communications [1], cryptography [2] or wide-band communication systems [3].…”

Section: Introductionmentioning

confidence: 99%

A simple current-reversible chaotic jerk circuit using inherent tanh(x) of an opamp

Ketthong

San-Um

Srisuchinwong

et al. 2017

IEICE Electron. Express

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A simple current-reversible chaotic jerk circuit is proposed and particularly demonstrates the use of inherently tanh(x) nonlinearity of a single opamp for a chaotic jerk circuit. No additionally nonlinear devices are required. Bifurcation is electronically tunable through a current source in a reversible direction. The largest Lyapunov exponent of either direction forms mirror images, whereas the chaotic attractor of either direction forms antisymmetric images.

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