Abstract
Synchronization among dynamical variables in coupled chaotic systems would appear to be almost an oxymoron as the definition of chaos includes the rapid decorrelation of nearby orbits due to the instabilities throughout phase space. Nonetheless [FY83, AVR86, PC90], it is quite straightforward to establish situations where synchronization occurs between signals, each of which is chaotic. This synchronization has clear applications to communications [VR93] and control [Pyr92, RTA94]. Further, it may be responsible for the saturation of the invariant characteristics of chaos in chains of coupled nonlinear oscillators and in more complicated systems [GRS84, WR90].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media New York
About this chapter
Cite this chapter
Abarbanel, H.D.I. (1996). Synchronization of Chaotic Systems. In: Analysis of Observed Chaotic Data. Institute for Nonlinear Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0763-4_9
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0763-4_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98372-1
Online ISBN: 978-1-4612-0763-4
eBook Packages: Springer Book Archive