Design and implementation of the Sprott chaotic secure digital communication systems

Yi, Hou; Chen, Hsin Chieh; Chang, Jen Fuh; Yan, Jun Juh; Liao, Teh‐Lu

doi:10.1016/j.amc.2012.04.076

Cited by 26 publications

(15 citation statements)

References 16 publications

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“…Nonlinear systems with chaotic behavior have been exploited since the 1960s [1][2][3][4]. Their applications have been witnessed in numerous areas, for example, secure digital communication systems [5], multiple input multiple output radar [6], image encryption with random bit sequence [7], or optimization algorithms [8]. Although almost normal chaotic systems have a countable number of equilibrium points, few unusual systems with infinite number of equilibria have been investigated in the last five years [9].…”

Section: Introductionmentioning

confidence: 99%

A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization

Pham

Volos

Vaidyanathan

et al. 2016

Advances in Mathematical Physics

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Discovering systems with hidden attractors is a challenging topic which has received considerable interest of the scientific community recently. This work introduces a new chaotic system having hidden chaotic attractors with an infinite number of equilibrium points. We have studied dynamical properties of such special system via equilibrium analysis, bifurcation diagram, and maximal Lyapunov exponents. In order to confirm the system's chaotic behavior, the findings of topological horseshoes for the system are presented. In addition, the possibility of synchronization of two new chaotic systems with infinite equilibria is investigated by using adaptive control.

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Section: Introductionmentioning

confidence: 99%

A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization

Pham

Volos

Vaidyanathan

et al. 2016

Advances in Mathematical Physics

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“…Nonlinear dynamics, commonly called the chaos theory, changes the scientific way of looking at the dynamics of natural and social systems, which has been intensively studied over the past several decades [1][2][3][4][5][6][7][8][9][10]. The phenomenon of chaos has attracted widespread attention amongst mathematicians, physicists, and engineers and has also been extensively studied in many fields, such as chemical reactions [11,12], biological systems [13,14], information processing [15,16], and secure communications [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Motions in the Real Fuzzy Electronic Circuits

Yang

Lin

et al. 2013

Abstract and Applied Analysis

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Fuzzy electronic circuit (FEC) is firstly introduced, which is implementing Takagi-Sugeno (T-S) fuzzy chaotic systems on electronic circuit. In the research field of secure communications, the original source should be blended with other complex signals. Chaotic signals are one of the good sources to be applied to encrypt high confidential signals, because of its high complexity, sensitiveness of initial conditions, and unpredictability. Consequently, generating chaotic signals on electronic circuit to produce real electrical signals applied to secure communications is an exceedingly important issue. However, nonlinear systems are always composed of many complex equations and are hard to realize on electronic circuits. Takagi-Sugeno (T-S) fuzzy model is a powerful tool, which is described by fuzzy IF-THEN rules to express the local dynamics of each fuzzy rule by a linear system model. Accordingly, in this paper, we produce the chaotic signals via electronic circuits through T-S fuzzy model and the numerical simulation results provided by MATLAB are also proposed for comparison. T-S fuzzy chaotic Lorenz and Chen-Lee systems are used for examples and are given to demonstrate the effectiveness of the proposed electronic circuit.

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“…Controlled synchronization can be achieved in dynamical systems on chaotic regime [3][4][5][6][7][8]. However, in practice, chaos synchronization is far from being straightforward because different aspects, as the presence of external disturbances and parameter uncertainties, affect significantly the ability of systems to synchronize.…”

Section: Introductionmentioning

confidence: 99%

“…A proposal to synchronize Sprott circuits and their application in secure communication are presented in [4]. Here a proportional-integral-derivative (PID) control scheme is used to solve the synchronization problem of identical chaotic systems and without disturbances under the master/slave configuration.…”

Section: Introductionmentioning

confidence: 99%

“…Chaos synchronization has important applications, for example, in private communication systems; see, for example, [4,5,9], where simplicity is always a desirable characteristic to consider in a practical implementation. As shown by Sprott [10], a practical chaos generator can be constructed with a simple electronic circuit with nonlinear terms as piecewise linear functions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust Output Synchronization of Arrays of Chaotic Sprott Circuits

Solis¹,

Almeida²

2017

Advances in Mathematical Physics

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This article presents a technique for synchronizing arrays of a class of chaotic systems known as Sprott circuits. This technique can be applied to different topologies and is robust to parametric uncertainties caused by tolerances in the electronic components. The design of coupling signals is based on the definition of a set of functionals which depend on the errors between the outputs of the nodes and the errors between the output of a reference system and the outputs of the nodes. When there are no parametric uncertainties, we establish a criterion to design the coupling signals using only one state variable of each system. When the parametric uncertainties are present, we add a robust observer and a low pass filter to estimate the perturbation terms, which are subsequently compensated through the coupling signals, resulting in a robust closed loop system. The performance of the synchronization technique is illustrated by real-time simulations.

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Design and implementation of the Sprott chaotic secure digital communication systems

Cited by 26 publications

References 16 publications

A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization

A Chaotic System with an Infinite Number of Equilibrium Points: Dynamics, Horseshoe, and Synchronization

Chaotic Motions in the Real Fuzzy Electronic Circuits

Robust Output Synchronization of Arrays of Chaotic Sprott Circuits

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