Discrete Dynamics in Nature and Society
Volume 4 (2000), Issue 3, Pages 231-243

Phase multistability of synchronous chaotic oscillations

T. E. Vadivasova, O. V. Sosnovtseva, A. G. Balanov, and V. V. Astakhov

Physics Department, Saratov State University, Astrokhanskaya str. 83, Saratov 410026, Russia

Received 15 April 1999

Copyright © 2000 T. E. Vadivasova et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper describes the sequence of bifurcations leading to multistability of periodic and chaotic synchronous attractors for the coupled Rössler systems which individually demonstrate the Feigenbaum route to chaos. We investigate how a frequency mismatch affects this phenomenon. The role of a set of coexisting synchronous regimes in the transitions to and between different forms of synchronization is studied.