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2nd Croatian Mathematical Congress
June 15-17, 2000
Croatian Mathematical Society and Dept. of Math., Univ. of Zagreb
Zagreb, Croatia

Organizers
Hrvoje Sikic (president), Pavle Pandzic (secretary)

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Synchronization in Chaotic Systems
by
Kresimir Josic
Boston University, Department of Mathematics and Statistics
Coauthors: Douglas J. Mar, Boston University

The problem of synchronizing chaotic systems has received much attention in the last decade. In this lecture I will give an overview of rigorous results that have recently been obtained in the area. The phenomenon of phase synchronization which already attracted the attention of Huygens will receive particular attention. A theoretical explanation of the phenomenon of chaotic phase synchronization based on Kuramoto's work will be proposed. The analytic predictions of this theory were tested in an electric circuit exhibiting a Rössler like chaotic attractor and good agreement was found. This talk will be accessible to graduate students in the physical and mathematical sciences.

Home Page of Kresimir Josic

Date received: February 29, 2000


Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-14.