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Synchronization Techniques for Chaotic Communication Systems pp 49–78Cite as

Chaotic Synchronization, Conditional Lyapunov Exponents and Lyapunov’s Direct Method

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Abstract

In chapter 2, the underlying characteristic of chaos, such as their high sensitivity to parameter and initial condition perturbations, the random like nature and the broadband spectrum, were outlined. Due to these characteristics it was originally thought that chaotic systems could not be synchronized and thus could not be used as part of the coherent communication systems, where synchronization is an integral part of operation. However, this was not the case and in this and the next two chapters, synchronization of chaotic systems is investigated. In this chapter, the basic concepts of chaotic synchronization are outlined. Its characteristics are examined in terms of the conditional Lyapunov exponents and Lyapunov’s direct method. Lyapunov’s direct method is then used to develop a general approach in the design of synchronous chaotic systems.

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  1. Branislav Jovic
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Jovic, B. (2011). Chaotic Synchronization, Conditional Lyapunov Exponents and Lyapunov’s Direct Method. In: Synchronization Techniques for Chaotic Communication Systems. Signals and Communication Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21849-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-21849-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21848-4

  • Online ISBN: 978-3-642-21849-1

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