Controlling Chaos by Synchronization

We show how synchronization {\it {\`a} la} Pecora and Carroll allows one to control a seemingly large class of dynamical systems, and, in particular, chaotic ones. The method we propose permits one to stabilize periodic orbits and equilibria, and to target them. In the case that the dynamics are described by differential equations, the method does not require one to consider a first return map.

By: Charles Tresser and Patrick Worfolk

Published in: RC20088 in 1995

LIMITED DISTRIBUTION NOTICE:

This Research Report is available. This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g., payment of royalties). I have read and understand this notice and am a member of the scientific community outside or inside of IBM seeking a single copy only.

5013.ps.gz

Questions about this service can be mailed to reports@us.ibm.com .