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Rate models with delays and the dynamics of large networks of spiking neurons

Publication ,  Conference
Roxin, A; Brunel, N; Hansel, D
Published in: Progress of Theoretical Physics Supplement
June 28, 2006

We investigate the dynamics of a one-dimensional network of spiking neurons with spatially modulated excitatory and inhibitory interactions through extensive numerical simulations. We find that the network displays a rich repertoire of dynamical states as a function of the interaction parameters, including homogeneous oscillations, oscillatory bumps, traveling waves, lurching waves, standing waves, quasi-periodic and chaotic states as well as regimes of multistability. Combining analytical calculations and simulations we show that similar dynamics are found in a reduced rate model provided that the interactions are delayed.

Duke Scholars

Published In

Progress of Theoretical Physics Supplement

DOI

EISSN

1347-4081

ISSN

0375-9687

Publication Date

June 28, 2006

Volume

161

Start / End Page

68 / 85

Related Subject Headings

  • Nuclear & Particles Physics
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Roxin, A., Brunel, N., & Hansel, D. (2006). Rate models with delays and the dynamics of large networks of spiking neurons. In Progress of Theoretical Physics Supplement (Vol. 161, pp. 68–85). https://doi.org/10.1143/PTPS.161.68
Roxin, A., N. Brunel, and D. Hansel. “Rate models with delays and the dynamics of large networks of spiking neurons.” In Progress of Theoretical Physics Supplement, 161:68–85, 2006. https://doi.org/10.1143/PTPS.161.68.
Roxin A, Brunel N, Hansel D. Rate models with delays and the dynamics of large networks of spiking neurons. In: Progress of Theoretical Physics Supplement. 2006. p. 68–85.
Roxin, A., et al. “Rate models with delays and the dynamics of large networks of spiking neurons.” Progress of Theoretical Physics Supplement, vol. 161, 2006, pp. 68–85. Scopus, doi:10.1143/PTPS.161.68.
Roxin A, Brunel N, Hansel D. Rate models with delays and the dynamics of large networks of spiking neurons. Progress of Theoretical Physics Supplement. 2006. p. 68–85.

Published In

Progress of Theoretical Physics Supplement

DOI

EISSN

1347-4081

ISSN

0375-9687

Publication Date

June 28, 2006

Volume

161

Start / End Page

68 / 85

Related Subject Headings

  • Nuclear & Particles Physics
  • 02 Physical Sciences
  • 01 Mathematical Sciences