Phase Response Properties of Rulkov Model Neurons

Conference paper

DOI: 10.1007/978-3-319-47810-4_3

Part of the Springer Proceedings in Physics book series (SPPHY, volume 191)
Cite this paper as:
Kanders K., Stoop R. (2017) Phase Response Properties of Rulkov Model Neurons. In: Mantica G., Stoop R., Stramaglia S. (eds) Emergent Complexity from Nonlinearity, in Physics, Engineering and the Life Sciences. Springer Proceedings in Physics, vol 191. Springer, Cham


Neurons communicate using patterns of impulses (action potentials); practically all these patterns can, upon suitably chosen parameters, be reproduced by Rulkov’s phenomenological, low-dimensional, map-based neuron models. Here, using phase response curves, we show that Rulkov map neurons also respond to transient pulse stimulation in a way that is compatible with the biological examples. This is important because Rulkov maps are computationally very inexpensive, allowing to perform large-scale simulations of the brain.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Neuroinformatics and Institute for Computational ScienceUniversity of ZürichZurichSwitzerland
  2. 2.ETH ZürichZurichSwitzerland

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