Journal ArticleDOI
Frequency limitations in generating multi-scroll chaotic attractors using CFOAs
Jesús M. Muñoz-Pacheco,Esteban Tlelo-Cuautle,I. Toxqui-Toxqui,Carlos Sánchez-López,R. Trejo-Guerra +4 more
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TLDR
In this paper, the experimental results of implementing a multi-scroll chaotic oscillator by using the commercially available CFOA AD844 are presented, and the frequency limitations are due to the nonideal characteristics of the current-feedback operational amplifier (CFOA) based SNLF block.Abstract:
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.read more
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Journal ArticleDOI
FPGA realization of multi-scroll chaotic oscillators
Esteban Tlelo-Cuautle,Jose de Jesus Rangel-Magdaleno,Ana Dalia Pano-Azucena,P. J. Obeso-Rodelo,Jose Cruz Nuñez-Perez +4 more
TL;DR: The FPGA realization of two multi-scroll chaotic oscillators that are characterized by their maximum Lyapunov exponent (MLE) for generating from 2- to 6-scrolls are shown, and the advantage of realizing those multi- scroll chaotic oscillator is that one can avoid the use of multiplier entities, thus optimizing FPGAs resources and increasing the processing speed, as well as realizing single constant multiplication (SCM) blocks.
Journal ArticleDOI
Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping
TL;DR: In this article, a periodically-forced oscillator with spatially-periodic damping is described, which has an infinite number of coexisting nested attractors, including limit cycles, attracting tori, and strange attractors.
Journal ArticleDOI
Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors
TL;DR: A chaotic image encryption algorithm is proposed according to the extended Lu system with coexisting attractors and the performance of the algorithm is numerically analyzed.
Journal ArticleDOI
A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method
Hadi Jahanshahi,Amin Yousefpour,Jesús M. Muñoz-Pacheco,Irene M. Moroz,Zhouchao Wei,Oscar Castillo +5 more
TL;DR: This paper presents a novel fractional-order four-dimensional chaotic system with self-excited and hidden attractors, which includes only one constant term, and applies Lyapunov stability theorem to ensure that the master and slave chaotic systems are synchronized in the presence of dynamic uncertainties and external disturbances.
Journal ArticleDOI
A Chaotic System With Equilibria Located on the Rounded Square Loop and Its Circuit Implementation
Viet-Thanh Pham,Sajad Jafari,Christos Volos,Aggelos Giakoumis,Sundarapandian Vaidyanathan,Tomasz Kapitaniak +5 more
TL;DR: A new 3-D chaotic system with infinitely many equilibria is proposed in this brief and it is exciting that these equilibrium points are located on a rounded square loop.
References
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Journal ArticleDOI
Generating Multiscroll Chaotic Attractors: Theories, Methods and Applications
Jinhu Lu,Guanrong Chen +1 more
TL;DR: 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 ...
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Design and analysis of multiscroll chaotic attractors from saturated function series
TL;DR: A two-dimensional (2D) Poincare/spl acute/ return map is rigorously derived for verifying the chaotic behaviors of the double-scroll chaotic attractor, which is a basic generator of various multiscroll chaotic attractors investigated in the paper.
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Experimental confirmation of 3- and 5-scroll attractors from a generalized Chua's circuit
TL;DR: In this paper, the authors present an experimental confirmation of 3-and 5-scroll attractors from a generalized Chua's circuit with piecewise linear characteristic with multiple breakpoints.
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Synchronization of Chua’s circuits with multi-scroll attractors: Application to communication
TL;DR: In this article, the synchronization problem of coupled Chua's circuits generator of n-scroll chaotic attractors in master-slave configuration is numerically studied, and a potential application to transmit encrypted audio and image information is also given.
Journal ArticleDOI
Pathological Element-Based Active Device Models and Their Application to Symbolic Analysis
TL;DR: The improved formulation method is compared with traditional formulation methods, showing that the NA matrix is more compact and the generation of nonzero coefficients is reduced, since the CPU time and memory consumption is reduced when recursive determinant-expansion techniques are used to solve theNA matrix.