Abstract
We study the synchronization phenomena in a pair of Hindmarsh-Rose(HR) neurons that connected by electrical coupling and chemical coupling and combinations of electrical and chemical coupling. We find that excitatory synapses can antisynchronize two neurons and enough strong inhibition can foster phase synchrony. Investigating the affection of combination of chemical and electrical coupling on network of two HR neurons shows that combining chemical coupling and positive electrical coupling can promotes phase synchrony, and conversely, combining chemical coupling and negative electrical coupling can promotes antisynchrony.
Project supported by the National Natural Science Foundation of China (Grant Nos. 10172067 and 10432010).
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References
He, D.H., Shi, P.L., Stone, L.: Noise-induced Synchronization in Realistic Models. Phys. Rev. E 67, 027201 (2003)
Wu, Y., Xu, J.X., He, D.H., et al.: Synchronization in Two Uncoupled Chaotic Neurons. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 183–189. Springer, Heidelberg (2004)
Wu, Y., Xu, J.X., He, D.H., et al.: Generalized Synchronization Induced by Noise and Parameter Mismatching in Hindmarsh-Rose neurons. Chaos Solitons & Fractals 23, 1605–1611 (2005)
Jin, W.Y., Xu, J.X., Wu, Y., et al.: Rate of Afferent Stimulus Dependent Synchronization and Coding in Coupled Neurons System. Chaos Solitons & Fractals 21, 1221–1229 (2004)
Tamas, G., Eberhard, H.B., Lörinz, A., et al.: Proximally Targeted GABAergic Synapses and Gap Junctions Synchronize Cortical Interneurous. Nat. Neurosci. 3, 366–371 (2000)
Elson, R.C., Selverston, A.I., Romon, H., et al.: Synchronous Behavior of Two Coupled Biological Neurons. Phys. Rev. lett. 81, 5692–5695 (1998)
Pinto, R.D., Varona, P., Volkovskii, A.R., et al.: Synchronous Behavior of Two Coupled Electronic Neurons. Phys. Rev. E 62, 2644–2656 (2000)
Timothy, J.L., John, R.: Dynamics of Spiking Neurons Connected by Both Inhibitory and Electrical Coupling. Journal of computation neuroscience 14, 283–309 (2003)
Romon, H., Mikhail, I.R.: Spike-train Bifurcation in Two Coupled Chaotic Neurons. Phys. Rev. E 55, R2108 (1997)
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Wu, Y., Xu, J., Jin, W. (2005). Synchronous Behaviors of Two Coupled Neurons. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_47
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DOI: https://doi.org/10.1007/11427391_47
Publisher Name: Springer, Berlin, Heidelberg
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