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Robustness of Diversity Induced Synchronization Transition in a Delayed Small-World Neuronal Network |
| TANG Jun**, QU Li-Cheng, LUO Jin-Ming
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College of Science, China University of Mining and Technology, Xuzhou 221000
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| Cite this article: |
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TANG Jun, QU Li-Cheng, LUO Jin-Ming 2011 Chin. Phys. Lett. 28 100501 |
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Abstract In a diverse and delayed small-world neuronal network, we have identified the oscillatory-like synchronization transition between anti-phase and complete synchronization [Phys. Rev. E 83 (2011) 046207]. Here we study the influence of the network topology and noise on the synchronization transition. The robustness of this transition is investigated. The results show that: (i) the synchronization transition is robust to the neuron number N in the network; (ii) only when the coupled neighbor number k is in the region [4,10], does the synchronization transition exist; (iii) to some extent, the synchronization is destroyed by noise and the oscillatory−like synchronization transition exists for relatively weak noise (D<0.003).
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05.45.-a
05.40.-a
89.75.Kd
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Received: 02 June 2011
Published: 28 September 2011
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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89.75.Kd
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(Patterns)
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