The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Oscillator Death in Systems of Coupled Neural Oscillators
Abstract
Phase-locking in a system of oscillators that are weakly coupled can be predicted by examining a related system in which the coupling is averaged over the oscillator cycle. This fails if the coupling is large. It is shown that in the presence of large interactions, a pair or a chain of oscillators may develop a new stable equilibrium state that corresponds to the cessation of oscillation. This phenomenon is robust for neural type interactions and does not happen in systems that are weakly coupled.
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Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
Voltage oscillations in the barnacle giant muscle fiber
Morris, C., & Lecar, H. (1981) · Biophysical Journal · doi:10.1016/s0006-3495(81)84782-0 · Cited by 2,302
Cited by
Rapid synchronization through fast threshold modulation
Somers, D., & Kopell, N. (1993) · Biological Cybernetics · doi:10.1007/bf00198772 · Cited by 414
Self-citationButera, R. J., Rinzel, J., & Smith, J. C. (1999) · Journal of Neurophysiology · doi:10.1152/jn.1999.82.1.398 · Cited by 359
Phase Dynamics for Weakly Coupled Hodgkin-Huxley Neurons
Hansel, D., Mato, G., & Meunier, C. (1993) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/23/5/011 · Cited by 300
Phase-response curves and synchronized neural networks
Smeal, R. M., Ermentrout, G. B., & White, J. A. (2010) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2009.0292 · Cited by 198
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Metadata
- Authors
- Ermentrout, G. B., & Kopell, N.
- Venue
- SIAM Journal on Applied Mathematics
- Published
- 1990-02
- Volume
- 50
- Issue
- 1
- Pages
- 125-146
- ISSN
- 0036-1399 (ISSN-L)
- 1095-712X
- OpenAlex
- W2068920964
- Cited by
- 269
- References
- 2
- FWCI
- 10.00
- Type
- journal article
- Language
- en
- Open access
- closed
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