2012
DOI: 10.24908/pceea.v0i0.4706
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Implementation of a Chua Circuit to Demonstrate Bifurcations and Strange Attractors in a Class

Abstract: This paper describes the design and implementation of a Chua double-scroll circuit to demonstrate chaos in dynamical systems to students in a graduate course in order to enhance their visualization and understanding of strange attractor and Feigenbaum bifurcation trees.Teaching dynamical systems (i.e., nonlinear systems that can exhibit chaos) is often considered difficult because of the mathematical modeling involved and the inclusion of the fourth strange-attractor state, in addition to the traditional point… Show more

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Cited by 6 publications
(5 citation statements)
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“…In 1983, Leon Chua developed a nonlinear circuit that is capable of demonstrating a rich collection of dynamical phenomena, ranging from fixed points to cycle points, standard bifurcations (period-doubling), other standard routes to chaos, and chaos itself. The relevance of the Chua circuit has recently made possible the birth of a large family of multi-scroll oscillators and techniques to control chaos [15]. Chua circuit has found many applications in physics, communication, and control, mechanics, as well as chemistry, economics, and medicine [16].…”
Section: Chaotic Systemsmentioning
confidence: 99%
“…In 1983, Leon Chua developed a nonlinear circuit that is capable of demonstrating a rich collection of dynamical phenomena, ranging from fixed points to cycle points, standard bifurcations (period-doubling), other standard routes to chaos, and chaos itself. The relevance of the Chua circuit has recently made possible the birth of a large family of multi-scroll oscillators and techniques to control chaos [15]. Chua circuit has found many applications in physics, communication, and control, mechanics, as well as chemistry, economics, and medicine [16].…”
Section: Chaotic Systemsmentioning
confidence: 99%
“…For the implementation of the chaotic system Chua, we use the Xilinx system generator (XSG) method in this section. The relevance of the Chua circuit has recently made possible the birth of a big family of multi-scroll oscillators and techniques to control the chaos [17]. Chua's circuit has found many applications in physics, communication, and control, mechanics, as well as chemistry, economics, and medicine [18].…”
Section: Chua's Circuit Designmentioning
confidence: 99%
“…In 1983, Leon Chua developed a nonlinear circuit that is capable of demonstrating a rich collection of dynamical phenomena, ranging from fixed points to cycle points, standard bifurcations (period-doubling), other standard routes to chaos, and chaos itself. The relevance of the Chua circuit has recently made possible the birth of a big family of multi-scroll oscillators and techniques to control the chaos [18]. Chua's circuit has found many applications in physics, communication, and control, mechanics, as well as, chemistry, economics, and medicine [19].…”
Section: Chua Chaotic Systemmentioning
confidence: 99%