Beyond the edge of chaos: amplification and temporal integration by recurrent networks in the chaotic regime.

@article{Toyoizumi2011BeyondTE,
  title={Beyond the edge of chaos: amplification and temporal integration by recurrent networks in the chaotic regime.},
  author={Taro Toyoizumi and L. F. Abbott},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 5 Pt 1},
  pages={051908}
}
Randomly connected networks of neurons exhibit a transition from fixed-point to chaotic activity as the variance of their synaptic connection strengths is increased. In this study, we analytically evaluate how well a small external input can be reconstructed from a sparse linear readout of network activity. At the transition point, known as the edge of chaos, networks display a number of desirable features, including large gains and integration times. Away from this edge, in the nonchaotic… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 27 extracted citations

References

Publications referenced by this paper.
Showing 1-9 of 9 references

Neuron 63

  • D. Sussillo, L. F. Abbott
  • 544
  • 2009
3 Excerpts

Proc

  • S. Ganguli, D. Huh, H. Sompolinsky
  • Natl. Acad. Sci. USA 105, 18970
  • 2008

Rev

  • M. I. Rabinovich, P. Varona, A. I. Selverston, H.D.I. Abarbanel
  • Mod. Phys. 78, 1213
  • 2006
2 Excerpts

Neural Comput

  • M. Shamir, H. Sompolinsky
  • 16, 1105
  • 2004

Phys

  • O. L. White, D. D. Lee, H. Sompolinsky
  • Rev. Lett. 92, 148102
  • 2004

Science 304

  • H. Jaeger, H. Haas
  • 78
  • 2004
2 Excerpts

J

  • P. E. Latham, S. Deneve, A. Pouget
  • Physiol Paris 97, 683
  • 2003
2 Excerpts

R

  • F. Rieke, D. Warland
  • de Ruyter van Steveninck, and W. Bialek, Spikes…
  • 1996
2 Excerpts

Europhys

  • B. Tirozzi, M. Tsodyks
  • Lett. 14, 727
  • 1991
2 Excerpts

Similar Papers

Loading similar papers…