The dynamics of balanced spiking neuronal networks under poisson drive is not chaotic

Qing Long L. Gu, Zhong Qi K. Tian, Gregor Kovačič, Douglas Zhou, David Cai

Research output: Contribution to journalArticle


Some previous studies have shown that chaotic dynamics in the balanced state, i.e., one with balanced excitatory and inhibitory inputs into cortical neurons, is the underlying mechanism for the irregularity of neural activity. In this work, we focus on networks of current-based integrate-and-fire neurons with delta-pulse coupling. While we show that the balanced state robustly persists in this system within a broad range of parameters, we mathematically prove that the largest Lyapunov exponent of this type of neuronal networks is negative. Therefore, the irregular firing activity can exist in the systemwithout the chaotic dynamics. That is the irregularity of balanced neuronal networks need not arise from chaos.

Original languageEnglish (US)
Article number47
JournalFrontiers in Computational Neuroscience
StatePublished - Jun 28 2018



  • Balanced state
  • Chaotic dynamics
  • Delta-pulse coupling
  • Irregular activity
  • Largest Lyapunov exponent

ASJC Scopus subject areas

  • Neuroscience (miscellaneous)
  • Cellular and Molecular Neuroscience

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