Integrated circuit generating 3- and 5-scroll attractors

Trejo-Guerra, R.; Tlelo‐Cuautle, Esteban; Jiménez-Fuentes, J.M.; Sánchez–López, C.; Muñoz‐Pacheco, Jesús M.; Espinosa-Flores-Verdad, G.; Rocha-Pérez, José Miguel

doi:10.1016/j.cnsns.2012.01.029

Cited by 93 publications

(44 citation statements)

References 13 publications

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“…In electronics, Chua's chaotic oscillator is quite popular because it has so many possibilities to be implemented (Gopakumar et al, 2011;Kilic, 2003;Sánchez-López, 2012;Tlelo-Cuautle et al, 2006;Trejo-Guerra et al, 2013;TrejoGuerra et al, 2009), and it allows to generate multi-scroll chaotic attractors (TrejoGuerra et al, 2010;Trejo-Guerra et al, 2012;Yalcin et al, 2000). In this investigation we use the CFOA AD844 1 to implement the multi-scroll chaotic oscillator described by (1), where f (x; k,h,p,q) models the SNLF given by (2), which must satisfy: 0 < a,b,c,d 1 < 1, to accomplish chaos conditions, as already demonstrated by (Lü & Chen, 2006;Lü et al, 2004).…”

Section: Multi-scroll Chaotic Oscillatormentioning

confidence: 99%

“…During the last decade, theoretical design and circuit implementation of various multiscroll chaos generators have been a focal subject of increasing interest in electronics engineering (Gandhi & Roska, 2009;Lü & Chen, 2006;Lü, Chen, Yu, & Leung, 2004;Sun, Wang, Huang, & Shen, 2011;Trejo-Guerra, Tlelo-Cuautle, Carbajal-Gomez, & Rodriguez-Gomez, 2013; Trejo-Guerra, Tlelo-Cuautle, Jiménez-Fuentes, Trejo-Guerra et al, 2012;Yalcin, Suykens, & Vandewalle, 2000). For instance, a multi-scroll chaotic oscillator based on saturated nonlinear function (SNLF) series is well described by Lü et al (2004).…”

Section: Introductionmentioning

confidence: 99%

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Frequency limitations in generating multi-scroll chaotic attractors using CFOAs

Muñoz‐Pacheco

Tlelo‐Cuautle

Toxqui-Toxqui

et al. 2014

International Journal of Electronics

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The current-feedback operational amplifier (CFOA) allows us to implement any kind of circuit useful in analogue signal processing applications. However, it has limited performance in implementing nonlinear circuits. That way, this investigation highlights the experimental results of implementing a multi-scroll chaotic oscillator by using the commercially available CFOA AD844. The chaotic oscillator is based on saturated nonlinear function (SNLF) series, and we show and discuss its frequency limitations to generate 3-to 10-scrolls from 1 kHz to 100 kHz. Finally, we conclude that the frequency limitations are due to the nonideal characteristics of the CFOA-based SNLF block, imposed by the AD844.

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Section: Multi-scroll Chaotic Oscillatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Frequency limitations in generating multi-scroll chaotic attractors using CFOAs

Muñoz‐Pacheco

Tlelo‐Cuautle

Toxqui-Toxqui

et al. 2014

International Journal of Electronics

Self Cite

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“…Besides dynamical systems designed by using discrete components, there were successful e®orts to construct chaotic oscillators fully-or partially-integrated using available MOS technology. [24][25][26][27] Interesting implementation of grid spiral attractors using Arduino open source integrated development environment is presented in Ref. 28 together with the application of chaos in the selected secure communication issues.…”

Section: Introductionmentioning

confidence: 99%

Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium

Petržela

Götthans

Guzan

2018

J CIRCUIT SYST COMP

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This review paper describes di®erent lumped circuitry realizations of the chaotic dynamical systems having equilibrium degeneration into a plane object with topological dimension of the equilibrium structure equals one. This property has limited amount (but still increasing, especially recently) of third-order autonomous deterministic dynamical systems. Mathematical models are generalized into classes to design analog networks as universal as possible, capable of modeling the rich scale of associated dynamics including the so-called chaos. Reference state trajectories for the chaotic attractors are generated via numerical analysis. Since used active devices can be precisely approximated by using third-level frequency dependent model, it is believed that computer simulations are close enough to capture real behavior. These simulations are included to demonstrate the existence of chaotic motion.

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“…In recent years, Mahmoud et al introduced some chaotic and hyperchaotic systems with complex variables, analyzed their chaotic behavior, and proposed several types of synchronization methods [20][21][22][23][24][25]. Usually, increasingly novel chaotic systems are generated from low-order chaotic systems to hyperchaotic systems [26][27][28] and from two-wing systems to four-wing or multiloop systems [29][30][31][32]. A significant application of chaotic systems is to form chaotic secure communication circuit [33].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis, Synchronization, Circuit Design, and Secure Communication of a Novel Hyperchaotic System

Liu

Zhang

2017

Complexity

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This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the Lyapunov exponents of the new hyperchaotic system, are all investigated analytically and numerically. Then, an active control method is derived to achieve global chaotic synchronization of the novel hyperchaotic system through making the synchronization error system asymptotically stable at the origin based on Lyapunov stability theory. Next, the proposed novel hyperchaotic system is applied to construct another new hyperchaotic system with circuit deformation and design a new hyperchaotic secure communication circuit. Furthermore, the implementation of two novel electronic circuits of the proposed hyperchaotic systems is presented, examined, and realized using physical components. A good qualitative agreement is shown between the simulations and the experimental results around 500 kHz and below 1 MHz.

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Integrated circuit generating 3- and 5-scroll attractors

Cited by 93 publications

References 13 publications

Frequency limitations in generating multi-scroll chaotic attractors using CFOAs

Frequency limitations in generating multi-scroll chaotic attractors using CFOAs

Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium

Dynamical Analysis, Synchronization, Circuit Design, and Secure Communication of a Novel Hyperchaotic System

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