Anticipated synchronization in neuronal network motifs

F. S. Matias, L. L. Gollo, P. V. Carelli, M. Copelli, C. R. Mirasso

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

1 Citation (Scopus)

Abstract

Two identical dynamical systems coupled unidirectionally (in a so called master-slave configuration) exhibit anticipated synchronization (AS) if the one which receives the coupling (the slave) also receives a negative delayed self-feedback. In oscillatory neuronal systems AS is characterized by a phase-locking with negative time delay τ between the spikes of the master and of the slave (slave fires before the master), while in the usual delayed synchronization (DS) regime τ is positive (slave fires after the master). A 3-neuron motif in which the slave self-feedback is replaced by a feedback loop mediated by an interneuron can exhibits both AS and DS regimes. Here we show that AS is robust in the presence of noise in a 3 Hodgkin-Huxley type neuronal motif. We also show that AS is stable for large values of τ in a chain of connected slaves-interneurons.

Original languageEnglish
Title of host publicationPhysics, Computation, and the Mind - Advances and Challenges at Interfaces - Proceedings of the 12th Granada Seminar on Computational and Statistical Physics
EditorsJ. M. Cortes, Pedro L. Garrido, Joaquin Marro, Joaquin J. Torres
PublisherAmerican Institute of Physics
Pages210-212
Number of pages3
ISBN (Electronic)9780735411289
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event12th Granada Seminar on Computational and Statistical Physics: Physics, Computation, and the Mind: Advances and Challenges at Interfaces - La Herradura, Spain
Duration: 17 Sep 201221 Sep 2012

Publication series

NameAIP Conference Proceedings
Volume1510
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference12th Granada Seminar on Computational and Statistical Physics: Physics, Computation, and the Mind
Country/TerritorySpain
CityLa Herradura
Period17/09/1221/09/12

Keywords

  • Hodgkin-Huxley
  • phase-locking
  • synchronization

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