Volume 81, Number 6, March 2008
|Number of page(s)||5|
|Published online||22 February 2008|
Dynamical symmetry and synchronization in modular networks
Department of Physics, Southeast University - Nanjing 210096, PRC
2 Department of Physics, Nanjing Xiaozhuang University - Nanjing 210017, PRC
Corresponding author: firstname.lastname@example.org
Accepted: 22 January 2008
The effects of dynamical symmetry on the chaotic pattern synchronization in modular networks have been studied. It is found that the topological and the coupling symmetries between modules (subnetworks) can both enhance and speed up the chaotic pattern synchronization between modules. The calculation of Lyapunov exponent shows that this dynamical symmetry is a necessary condition for complete chaotic pattern synchronization in both modular networks composed by identical oscillators and heterogeneous modular networks if the states of nodes are much different from one another.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Jn – High-dimensional chaos / 89.75.Kd – Patterns
© EPLA, 2008
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