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
APA
Chicago
ICMJE
MLA
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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