Synchronization of Chua’s circuits with multi-scroll attractors: Application to communication

Gámez-Guzmán, L.; Cruz-Hernández, C.; López-Gutiérrez, R.M.; García-Guerrero, E. E.

doi:10.1016/j.cnsns.2008.10.009

Cited by 136 publications

(68 citation statements)

References 30 publications

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“…It is well known that chaotic attractors can be used in several possible commercial applications, such as data encryption, medicine, biology and secure communication systems [12,17,30,34,35]. Among all the chaotic oscillators that have been proposed in the literature, Chua's circuit is the most widely studied and used in several engineering applications, because it is an extremely simple circuit, it can easily be built, simulated and exhibits a rich variety of phenomena which have been experimentally confirmed [5,[7][8][9]25].…”

Section: Introductionmentioning

confidence: 99%

N-scroll chaotic attractors from saturated function series employing CCII+s

et al. 2010

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The generation of n-scroll chaotic attractors by using saturated nonlinear function series (SNFS) realized with positive-type second generation current conveyors (CCII+s), is introduced. The nonlinear dynamical system is expressed by a third-order differential equation and to carry out numerical simulations, SNFS are ideally modeled by using staircase functions. Therefore, numerical simulations are introduced to approximate the swings, widths, breakpoints and equilibrium points of the n-scroll attractors by considering, as input variables: the dynamic range associated C. Sánchez-López ( ) to active devices, gain of the nonlinear system and the number of scrolls. Therefore, its dynamical behavior is investigated in the state space. Besides, the CCII± is a versatile analog building block and it has been demonstrated to be very useful in several linear and nonlinear applications, since CCII-based implementations offer better performances that Opamps-based implementations in terms of accuracy and bandwidth. Therefore, the nonlinear system is synthesized with CCII+s to generate 3-and 4-scrolls. HSPICE simulations and experimental results are shown to verify the agreement on the behavior of the proposed circuit and the numerical simulations.

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Section: Introductionmentioning

confidence: 99%

N-scroll chaotic attractors from saturated function series employing CCII+s

et al. 2010

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“…[30,31,32,33,34,35]. In addition, circuital implementation of chaotic systems also provides an effective approach for investigating new dynamics of such theoretical models [36,37].…”

Section: Circuit Realization Of the Finance Systemmentioning

confidence: 99%

Analysis, adaptive control and circuit simulation of a novel finance system with dissaving

Tacha¹,

Volos²,

Stouboulos³

et al. 2016

Archives of Control Sciences

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Analysis, adaptive control and circuit simulation of a novel finance system with dissaving OURANIA I. TACHA, CHRISTOS K. VOLOS, IOANNIS N. STOUBOULOS and IOANNIS M. KYPRIANIDISIn this paper a novel 3-D nonlinear finance chaotic system consisting of two nonlinearities with negative saving term, which is called 'dissaving' is presented. The dynamical analysis of the proposed system confirms its complex dynamic behavior, which is studied by using wellknown simulation tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents and phase portraits. Also, some interesting phenomena related with nonlinear theory are observed, such as route to chaos through a period doubling sequence and crisis phenomena. In addition, an interesting scheme of adaptive control of finance system's behavior is presented. Furthermore, the novel nonlinear finance system is emulated by an electronic circuit and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.

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“…Over the last two decades, theoretical design and circuit implementation of various chaos generators have been a focal subject of increasing interest due to their promising applications in various real-world chaos-based technologies and information systems (Cook, 1994;Cruz-Hernández et al, 2005;Ergun & Ozoguz, 2010;Gámez-Guzmán et al, 2008;Lin & Wang, 2010;Ott, 1994;Strogatz, 2001;Trejo-Guerra et al, 2009). In electronics, among the currently available chaotic oscillators, Chua's circuit has been the most used one (Chakraborty & Dana, 2010;Elhadj & Sprott, 2010;Sánchez-López et al, 2008;Senani & Gupta, 1998;Suykens et al, 1997;Trejo-Guerra et al, 2009), because it can be easily built, simulated, and tractable mathematically.…”

Section: Chua's Circuit and Hyperchaosmentioning

confidence: 99%

“…Chaos systems have bounded trajectories in the phase space, and they have at least one positive maximum Lyapunov exponent (Dieci, 2002;Lu et al, 2005;Ramasubramanian & Sriram, 2000). Nowadays, several chaos generators have been implemented with electronic devices and circuits in order to have a major impact on many novel applications, as the ones reported in (Cruz-Hernández et al, 2005;Ergun & Ozoguz, 2010;Gámez-Guzmán et al, 2008;Lin & Wang, 2010;Strogatz, 2001;Trejo-Guerra et al, 2009). Furthermore, this chapter is mainly devoted to highlight the design automation of continuous-time multi-scroll chaos generators, their implementations by using behavioral models of commercially available electronic devices, their experimental realizations and applications to secure communications.…”

Section: Introductionmentioning

confidence: 99%