Sensitivity to Initial Conditions of Chaos in Electronics

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 12 - Chapter in an edited book (Author)

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Detail(s)

Original languageEnglish
Title of host publicationControlling Chaos and Bifurcations in Engineering Systems
EditorsGuanrong Chen
PublisherCRC Press
Chapter8
Pages155-178
ISBN (print)0-8493-0579-9
Publication statusPublished - 1999

Abstract

It has been well known that the sensitivity to the initial conditions can lead to unpredictable trajectory. In this chapter, we discuss the issue on the basis of a Phase Locked Loop circuit with an embedded nonlinear controller. A number of well established techniques for the chaos evaluation have been employed, namely bifurcation, Lyapunov exponent spectrum, fractal basin, etc. The investigations cover not only the basic chaos phenomena, but have also been extended to consider the case of synchronization. As a result, it has been found that this particular controller can broaden the phase lock-in range while its freedom of switching the attractors from chaos to order, or vice versa, can potentially lead to industrial applications.

Bibliographic Note

Research Unit(s) information for this publication is provided by the author(s) concerned.

Citation Format(s)

Sensitivity to Initial Conditions of Chaos in Electronics. / Zhong, G. Q.; Liu, Z. F.; Tang, K. S. et al.
Controlling Chaos and Bifurcations in Engineering Systems. ed. / Guanrong Chen. CRC Press, 1999. p. 155-178.

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 12 - Chapter in an edited book (Author)