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Title: Chaotic phase synchronization in small-world networks of bursting neurons
Authors: Yu, H
Wang, J
Deng, B
Wei, X
Wong, YK
Chan, WL 
Tsang, KM 
Yu, Z
Keywords: Bioelectric phenomena
Brain models
Complex networks
network topology
Nonlinear dynamical systems
Issue Date: Mar-2011
Publisher: American Institute of Physics
Source: Chaos: an interdisciplinary journal of nonlinear science, Mar. 2011, v. 21, no. 1, 013127, p. 1-9 How to cite?
Journal: Chaos: an interdisciplinary journal of nonlinear science 
Abstract: We investigate the chaotic phase synchronization in a system of coupled bursting neurons in small-world networks. A transition to mutual phase synchronization takes place on the bursting time scale of coupled oscillators, while on the spiking time scale, they behave asynchronously. It is shown that phase synchronization is largely facilitated by a large fraction of shortcuts, but saturates when it exceeds a critical value. We also study the external chaotic phase synchronization of bursting oscillators in the small-world network by a periodic driving signal applied to a single neuron. It is demonstrated that there exists an optimal small-world topology, resulting in the largest peak value of frequency locking interval in the parameter plane, where bursting synchronization is maintained, even with the external driving. The width of this interval increases with the driving amplitude, but decrease rapidly with the network size. We infer that the externally applied driving parameters outside the frequency locking region can effectively suppress pathologically synchronized rhythms of bursting neurons in the brain.
ISSN: 1054-1500 (print)
1089-7682 (online)
DOI: 10.1063/1.3565027
Rights: © 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in H. Yu et al., Chaos: an interdisciplinary journal of nonlinear science 21, 013127 (2011) and may be found at
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