Synchronization of Chaotic Oscillators

Synchronization of Chaotic Oscillators

J. M. González-Miranda (Universidad de Barcelona, Spain)
DOI: 10.4018/978-1-61520-737-4.ch006

Abstract

In this chapter, the author reviews the variety of forms that the synchronization of the dynamics of mutually coupled or unidirectionally driven chaotic oscillators can display. The aim is to provide a presentation of a background of knowledge on fundamental physics and mathematics that the author expects to be useful in the development of the application of chaos synchronization to telecommunications and cryptography.
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Chaotic Oscillators And Synchronization Layouts

Deterministic chaos is ubiquitous in nature and has been observed in many fields of physics, chemistry, biology, geology and astrophysics. In particular, it has been observed in systems of interest for telecommunications such as electric circuits and lasers.

An example of electric circuit is the one introduced by Matsumoto et al. (1985) and its many variants (Chua et al., 1993; Bilotta et al., 2007; Gomes & King, 1992). Other interesting chaotic electric circuits exist, some of them reproducing chaotic systems borrowed from other fields. For example the celebrated Lorenz (1963) and Rössler (1976) systems, have been implemented as electric circuits by Cuomo and Oppenheim (1993b) and by Carroll (1995), respectively.

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