Strange responses to fluctuating inputs in the hindmarsh-rose neurons

Ryosuke Hosaka, Yutaka Sakai, Kazuyuki Aihara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


A Input-Output relationship of a neuron is often used to characterize the function of the neuron. In that case, inputs are assumed to be constant, and neuronal responses to fluctuated inputs are less understood. A recent work reported a strange response of the Hodgkin-Huxley neuron to the fluctuated inputs that an irregularity of spike trains is inversely proportional to an input irregularity. In this paper, we investigated an origin of the strange response by using the Hindmarsh-Rose neuron. We provided the parameter regions for bifurcations and confirmed that the Hindmarsh-Rose neuron reproduces the strange response in dynamics of Saddle-Node and Subcritical Hopf bifurcations. In both bifurcation cases, the Hindmarsh-Rose neuron shows a bistability of resting potential and repetitive firing. This indicates that the bistability is the origin of the strange input-output relationship.

Original languageEnglish
Title of host publicationNeural Information Processing - 16th International Conference, ICONIP 2009, Proceedings
Number of pages8
EditionPART 2
Publication statusPublished - 2009
Externally publishedYes
Event16th International Conference on Neural Information Processing, ICONIP 2009 - Bangkok, Thailand
Duration: 2009 Dec 12009 Dec 5

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 2
Volume5864 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference16th International Conference on Neural Information Processing, ICONIP 2009


  • Bistability
  • Hindmarsh-Rose neuron
  • Interspike interval
  • Subthreshold oscillation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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