Ordering chaos and synchronization transitions by chemical delay and coupling on scale-free neuronal networks |
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Authors: | Yubing Gong Yanhang Xie Xiu Lin Yinghang Hao Xiaoguang Ma |
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Affiliation: | 1. Department of Dynamics and Control, Beihang University, Beijing 100191, PR China;2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR China;3. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, PR China;4. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, PR China |
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Abstract: | Chemical synaptic connections are more common than electric ones in neurons, and information transmission delay is especially significant for the synapses of chemical type. In this paper, we report a phenomenon of ordering spatiotemporal chaos and synchronization transitions by the delays and coupling through chemical synapses of modified Hodgkin–Huxley (MHH) neurons on scale-free networks. As the delay τ is increased, the neurons exhibit transitions from bursting synchronization (BS) to intermittent multiple spiking synchronizations (SS). As the coupling gsyn is increased, the neurons exhibit different types of firing transitions, depending on the values of τ. For a smaller τ, there are transitions from spatiotemporal chaotic bursting (SCB) to BS or SS; while for a larger τ, there are transitions from SCB to intermittent multiple SS. These findings show that the delays and coupling through chemical synapses can tame the chaotic firings and repeatedly enhance the firing synchronization of neurons, and hence could play important roles in the firing activity of the neurons on scale-free networks. |
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