Neuronal Behavior with Sub-threshold Oscillations and Spiking/Bursting Activity Using a Piecewise Linear Two-Dimensional Map

  • Carlos Aguirre
  • Doris Campos
  • Pedro Pascual
  • Eduardo Serrano
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3696)


A phenomenological neuronal model based on a coupled piecewise linear two–dimensional map is presented. The model mimics many of the neuronal features such as spiking, bursting and subthreshold activity. The model requires a computational effort lower than most of the phenomenological or differential neuronal models and its behavior is coherent with the one present in the other models. The regimes of synchronization of a pair of coupled maps is also explored.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Carlos Aguirre
    • 1
  • Doris Campos
    • 1
  • Pedro Pascual
    • 1
  • Eduardo Serrano
    • 1
  1. 1.GNB, Escuela Politécnica SuperiorUniversidad Autonoma de MadridMadridSpain

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