https://doi.org/10.1140/epjb/e2005-00315-0
The instability of chaotic synchronization in coupled Lorenz systems: from the Hopf to the Co-dimension two bifurcation
1
School of Science, Beijing University of Posts and
Telecomunications, Beijing, 100876, P.R. China
2
Center for Advanced Study, Tsinghua University,
Beijing, 100084, P.R. China
Corresponding author: a jzyang@bupt.edu.cn
Received:
19
January
2005
Revised:
12
July
2005
Published online:
11
October
2005
We investigate the Hopf bifurcation of the synchronous chaos in
coupled Lorenz oscillators. We find that the system undergoes a
phase transition along the Hopf instability of the synchronous
chaos. The phase transition makes the traveling wave component
with the phase difference 
between
adjacent sites unstable. The phase transition also plays a role to
relate the Hopf bifurcation with the co-dimension two bifurcation
of the synchronous chaos.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
