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No Access Submitted: 16 June 2011 Accepted: 01 August 2011 Published Online: 29 December 2011

Key role of time-delay and connection topology in shaping the dynamics of noisy genetic regulatory networks

Chaos 21, 047522 (2011); https://doi.org/10.1063/1.3629984
X. L. Yang1,2, D. V. Senthilkumar2, Z. K. Sun3, and J. Kurths2,4
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ABSTRACT
This paper focuses on a paced genetic regulatory small-world network with time-delayed coupling. How the dynamical behaviors including temporal resonance and spatial synchronization evolve under the influence of time-delay and connection topology is explored through numerical simulations. We reveal the phenomenon of delay-induced resonance when the network topology is fixed. For a fixed time-delay, temporal resonance is shown to be degraded by increasing the rewiring probability of the network. On the other hand, for small rewiring probability, temporal resonance can be enhanced by an appropriately tuned small delay but degraded by a large delay, while conversely, temporal resonance is always reduced by time-delay for large rewiring probability. Finally, an optimal spatial synchrony is detected by a proper combination of time-delay and connection topology.

ACKNOWLEDGMENTS

This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 10902062, 10871123, 10902085, and 11026131), the NSF of Shaanxi Province (Grant Nos. 2009JQ1002 and 2009JQ1007). D.V.S. and J.K. acknowledge the support from EU under Project No. 240763 PHOCUS(FP7-ICT-2009-C).

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