Mode locking and Arnold tongues in integrate-and-fire neural oscillators.

@article{Coombes1999ModeLA,
  title={Mode locking and Arnold tongues in integrate-and-fire neural oscillators.},
  author={Stephen Coombes and Paul C. Bressloff},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={60 2 Pt B},
  pages={2086-96}
}
An analysis of mode-locked solutions that may arise in periodically forced integrate-and-fire (IF) neural oscillators is introduced based upon a firing map formulation of the dynamics. A q:p mode-locked solution is identified with a spike train in which p firing events occur in a period qDelta, where Delta is the forcing period. A linear stability analysis of the map of firing times around such solutions allows the determination of the Arnold tongue structure for regions in parameter space… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
54 Citations
24 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 24 references

Physica D 126

  • P. C. Bressloff, S. Coombes
  • 99
  • 1999
3 Excerpts

Physical Review E 59

  • K. Yoshino, T. Nomura, K. Pakdaman, S. Sato
  • 956
  • 1999
1 Excerpt

Journal of Neurophysiology 80

  • J. D. Hunter, J. G. Milton, P. J. Thomas, J. D. Cowan
  • 1427
  • 1998
1 Excerpt

Physica D 118

  • C. C. Chow
  • 343
  • 1998
1 Excerpt

International Journal of Modern Physics B 11

  • P. C. Bressloff, S. Coombes
  • 2343
  • 1997
1 Excerpt

Physica D 104

  • D. M. Racicot, A. Longtin
  • 184
  • 1997
1 Excerpt

Physical Review E 56

  • S. Coombes, G. J. Lord
  • 5809
  • 1997
2 Excerpts

Proc

  • M. V. Tsodyks, H. Markram
  • Natl. Acad. Sci. USA 94, 719
  • 1997
2 Excerpts

Weakly Connected Neural Networks

  • F. C. Hoppensteadt, E. M. Izhikevich
  • No. 126 in Applied Mathematical Sciences
  • 1997
2 Excerpts

and S

  • L. F. Abbott, J. A. Varela, K. Sen
  • B. Nelson., Science 275, 220
  • 1997
2 Excerpts

Similar Papers

Loading similar papers…