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Complex Patterns in a Chain of Coupled Maps Based on a Neuron Model with Space and Time-Varying Couplings

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Nonlinear Maps and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 57))

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Abstract

Biological neurons are able to exhibit spiking and bursting behavior. The interesting phenomena can be observed by synchronization of neuronal ensembles. We study synchronization phenomena in a chain of 2-dimensional maps based on a neuronal model with space-varying and time-varying couplings. In the case of space-varying coupling, wave propagation and complex patterns can be observed.

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Correspondence to Yoko Uwate .

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Uwate, Y., Nishio, Y. (2014). Complex Patterns in a Chain of Coupled Maps Based on a Neuron Model with Space and Time-Varying Couplings. In: Grácio, C., Fournier-Prunaret, D., Ueta, T., Nishio, Y. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9161-3_16

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