Chaos-based communications at high bit rates using commercial fibre-optic links

Argyris, Apostolos; Syvridis, Dimitris; Larger, Laurent; Annovazzi-Lodi, V.; Colet, Pere; Fischer, Ingo; García‐Ojalvo, Jordi; Mirasso, Claudio R.; Pesquera, L.; Shore, K.A.

doi:10.1038/nature04275

Cited by 1,485 publications

(624 citation statements)

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“…In particular, the latter have proven to be practical benchmark systems to study delay dynamics [3,4]. Moreover, these oscillators have turned out to be versatile systems for novel applications such as chaos communications [5] or generation of ultra-high spectral purity microwaves [6]. The main dynamical features of this test-bed system are well documented and characterized, both from the theoretical and the experimental point of view [7].…”

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Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator

et al. 2011

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In the dynamics of optical systems one commonly needs to cope with the problem of coexisting deterministic and stochastic components. The separation of these components is an important although difficult task. Often the time scales at which determinism and noise dominate the system's dynamics differ. In this letter we propose to use information-theory-derived quantifiers, more precisely permutation entropy and statistical complexity, to distinguish between the two behaviors. Based on experiments of a paradigmatic optoelectronic oscillator we demonstrate that the time scales at which deterministic or noisy behavior dominate can be identified. Supporting numerical simulations prove the accuracy of this identification. c 2011 Optical Society of America OCIS codes: 140.1540, 190.3100, 250.5960, 000.5490. Delayed coupling phenomena play an important role in optical systems, including semiconductor lasers with feedback [1], delay-coupled lasers [2], and optoelectronic oscillators [3]. In particular, the latter have proven to be practical benchmark systems to study delay dynamics [3,4]. Moreover, these oscillators have turned out to be versatile systems for novel applications such as chaos communications [5] or generation of ultra-high spectral purity microwaves [6]. The main dynamical features of this test-bed system are well documented and characterized, both from the theoretical and the experimental point of view [7]. Experimental realizations of the optoelectronic oscillator are usually affected by an unpredictable stochastic component. In particular, when the dynamical system is driven into the hyperchaotic regime, it can be hard to distinguish between the deterministic chaotic dynamics and the stochastic component when they coexist. To distinguish between these two components we propose, in this letter, to use quantifiers derived from information theory. In particular, permutation entropy and statistical complexity [8] are good candidates for this task. They have already shown to be successful in identifying the internal structures of time series originated from delay systems [9,10].To compute these quantifiers, we analyze the time series of the system's dynamics and from them construct a probability distribution of their amplitudes. We choose the Bandt and Pompe method due to its simplicity and effectiveness [11]. Band and Pompe consider the order of neighboring values, by comparing their amplitude values, rather than partitioning the amplitude into different levels. This avoids amplitude threshold sensitivity dependences. The probability distribution of the generated ordinal pattern for a given time series can be established once an embedding dimension D and an embedding delay time τ are chosen. The embedding dimension D refers to the number of symbols that forms the ordinal pattern. The embedding delay τ is the time separation between symbols which is directly related to the sampling time of the time series (see refs. [9-11] for a detailed derivation and description of the quantifiers). Fig. 1. The optoel...

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Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator

et al. 2011

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“…One contribution of 13 to a Theme Issue 'Delayed complex systems '. This journal is © 2010 The Royal Society mechanical scenarios on nano-to macroscopic spatial scales (Argyris et al 2005(Argyris et al , 2008Kouomou et al 2005;Uchida et al 2005Uchida et al , 2008Illing et al 2007;Yousefi et al 2007;Cohen et al 2008;Sorrentino & Ott 2008, 2009aReidler et al 2009). …”

Section: Introductionmentioning

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Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Murphy

Cohen

Ravoori

et al. 2010

Phil. Trans. R. Soc. A.

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We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electro-optic modulation and fibre-optic transmission, with feedback and filtering implemented through real-time digital signal processing. We consider two such oscillators that are coupled to one another, and we identify the conditions under which they will synchronize. By examining the rates of divergence or convergence between two coupled oscillators, we quantify the maximum Lyapunov exponents or transverse Lyapunov exponents of the system, and we present an experimental method to determine these rates that does not require a mathematical model of the system. Finally, we demonstrate a new adaptive control method that keeps two oscillators synchronized, even when the coupling between them is changing unpredictably.

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“…The study of the noisy case on the communication channel is left for a future improved version of the proposed secure communication scheme. Although, in digital communications using fibre-optic links, low-frequency noise can be avoided [22]. Finally, the experiment employing Arduino showed the applicability of using discrete chaotic oscillators in today digital technology at the hand of almost anybody.…”

Section: Resultsmentioning

confidence: 93%

A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino

Acho

2015

Journal of the Franklin Institute

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Cite this article as: Leonardo Acho, A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino, Journal of the Franklin Institute, http://dx.doi.org/10. 1016/j.jfranklin.2015.03.028 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. leonardo.acho@upc.edu AbstractThis paper presents a modified discrete-time chaotic system obtained from the standard logistic map model. Then, a secure communication system is given and numerical experiments are carry out using the conceived discrete-time chaotic oscillator. Moreover, an experiment of our chaotic model is realized using the Arduino-UNO board.

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Chaos-based communications at high bit rates using commercial fibre-optic links

Cited by 1,485 publications

References 23 publications

Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator

Distinguishing fingerprints of hyperchaotic and stochastic dynamics in optical chaos from a delayed opto-electronic oscillator

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino

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