Skip to main content

Synchronization of Chaotic Systems

  • Chapter
Analysis of Observed Chaotic Data

Part of the book series: Institute for Nonlinear Science ((INLS))

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].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints 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

Publish with us

Policies and ethics