Abstract
Fully-connected neural networks of non-linear half-center oscillators coupled both electrically and synaptically may exhibit a variety of modes of oscillation despite fixed topology and parameters. In suitable circumstances it is possible to switch between these modes in a controlled fashion. Previous work has investigated this phenomenon the simplest possible 2 cell network. In this paper we show that the 4 cell network, like the 2 cell, exhibits a variety of symmetrical and asymmetrical behaviours. In general, with increasing electrical coupling the number of possible behaviours is reduced until finally the only expressed behaviour becomes in-phase oscillation of all neurons. Our analysis enables us to predict general rules governing behaviour of more numerous networks, for instance types of co-existing activity patterns and a subspace of parameters where they emerge.
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Bem, T., Hallam, J. (2009). Characterisation of Multiple Patterns of Activity in Networks of Relaxation Oscillators with Inhibitory and Electrical Coupling. In: Mira, J., Ferrández, J.M., Álvarez, J.R., de la Paz, F., Toledo, F.J. (eds) Methods and Models in Artificial and Natural Computation. A Homage to Professor Mira’s Scientific Legacy. IWINAC 2009. Lecture Notes in Computer Science, vol 5601. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02264-7_18
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DOI: https://doi.org/10.1007/978-3-642-02264-7_18
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