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Download e-book for iPad: Chua's circuit implementations: yesterday, today, and by Luigi Fortuna, Mattia Frasca, Maria Gabriella Xibilia

By Luigi Fortuna, Mattia Frasca, Maria Gabriella Xibilia

ISBN-10: 9812839240

ISBN-13: 9789812839244

Because the beginning of the Chua circuit in 1983, a variety of fruitful, attention-grabbing and appropriate learn themes have arisen. In honor of the twenty fifth anniversary of the discovery of Chua's circuit, this ebook provides the 25 years of analysis at the implementation of Chua's circuit, and in addition discusses destiny instructions and rising functions of contemporary effects. the aim of the booklet is to supply researchers, PhD scholars, and undergraduate scholars a study monograph containing either basics at the issues and complex effects which were lately bought. With approximately 60 illustrations integrated within the publication, it additionally indicates the precise schematics of a number of assorted implementations that may be simply reproduced with a inexpensive experimental setup and PC-based size instrumentation. Contents: The delivery of Chua's Circuit Implementations of Chua's Diode mobile Nonlinear Networks and Chua's Circuit Frequency Switched Chua's Circuit: Experimental Dynamics Characterization Programmable Chua's Circuit Switched Capacitor-based Chua's Circuit The Four-Element Chua's Circuit The natural Chua's Circuit purposes of Chua's Circuit

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An explicit normal form for the vector fields belonging to the double scroll family is derived. • Poincar´e maps and analytical expressions for the associated halfreturn maps are calculated. • The half-return maps are used to prove the existence of the circuit February 10, 2009 17:2 World Scientific Book - 9in x 6in circuit The birth of the Chua’s circuit 23 Shilnikov-type homoclinic orbit and, thus, to demonstrate that the hypotheses of the Shilnikov’s theorem hold. • Furthermore, the derived Poincar´e maps are used to draw a bifurcation diagram and characterize the birth and death of the double scroll strange attractor.

2000)]. On the opposite, when chaotic behavior is intentionally created by February 10, 2009 17:2 World Scientific Book - 9in x 6in The birth of the Chua’s circuit circuit 45 using control, this is referred as antichaos control. Many different techniques have been applied either to chaos control or antichaos control and many of them have been applied to the Chua’s circuit and to the Chua’s oscillator. The aim of this Section is not to review all the approaches developed, but to give some insights on only a few important control techniques applied to the Chua’s circuit.

58) where ky = RRc . These two schemes have been numerically and experimentally studied in detail in [Chua et al. (1992, 1993b,a)].

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Chua's circuit implementations: yesterday, today, and tomorrow by Luigi Fortuna, Mattia Frasca, Maria Gabriella Xibilia

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