Abstract
In this, we study the bursting dynamics of the complex neural networks with chemical synapses. A quantitative characteristics, width factor, is introduced to describe the bursting dynamics of the neuron. Then we study the effects of the coupling schemes and the network topology on the rhythmic dynamics of the networks. It is concluded that the coupling scheme plays the key role in shaping the bursting types of the neurons. As for the network topology, more links can only change the bursting type of the long bursting neurons, and the short bursting neurons are robust to the link numbers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Watts, D.J. Strogatz, S.H.: Collective dynamics of “small-world” networks. Nature 393 (1998) 440–442.
Barabási, A.L., Albert, R.: Emergence of scaling in random networks. Science 286 (1999) 509–512.
Gerstner, W., Kistler, W.M., eds.: Spiking Neuron Models. Cambridge: Cambridge University Press (2002).
Wang, M., Hou, Z., Xin, H.: Ordering spatiotemporal chaos in small-world neuron networks. Chemphyschem 7 (2006) 579–582.
Gong, Y., Xu, B., et al.: Ordering spatiotemporal chaos in complex thermosensitive neuron networks. Phys. Rev. E. 73 (2006) 046137.
Wei, D.Q., Luo, X.S.: Ordering spatiotemporal chaos in discrete neural networks with small-world connections. Europhys. Lett. 78 (2007) 68004.
Shen, Y., Hou, Z., Xin, H.: Transition to burst synchronization in coupled neuron networks. Phys. Rev. E. 77 (2008) 031920.
Rulkov, N.F.: Modeling of spiking-bursting neural behavior using two-dimensional map. Phys. Rev. E. 65 (2002) 041922.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No.10802012 and No. 10872014).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Shi, X., Lu, Q. (2011). Bursting Regularity in Complex Networks of Neurons with Chemical Synapses. In: Wang, R., Gu, F. (eds) Advances in Cognitive Neurodynamics (II). Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9695-1_43
Download citation
DOI: https://doi.org/10.1007/978-90-481-9695-1_43
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9694-4
Online ISBN: 978-90-481-9695-1
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)