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Synchronization of Bursting Neurons: What Matters in the Network Topology
Open accessAbstract
We study the influence of coupling strength and network topology on synchronization behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we find that the stability of the completely synchronous state in such networks only depends on the number of signals each neuron receives, independent of all other details of the network topology. This is in contrast with linearly coupled bursting neurons where complete synchrony strongly depends on the network structure and number of cells. Through analysis and numerics, we show that the onset of synchrony in a network with any coupling topology admitting complete synchronization is ensured by one single condition.
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Cited by
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BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
Amplitude death: The emergence of stationarity in coupled nonlinear systems
Saxena, G., Prasad, A., & Ramaswamy, R. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.09.003 · Cited by 375
Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization
Boccaletti, S., Almendral, J. A., Guan, S., Leyva, I., Liu, Z., Sendiña-Nadal, I., Wang, Z., & Zou, Y. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.004 · Cited by 363
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
Wang (2011) · Frontiers in Computational Neuroscience · doi:10.3389/fncom.2011.00030 · Cited by 104
Metadata
- Authors
- Belykh, I., de Lange, E., & Hasler, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-05-09
- Volume
- 94
- Issue
- 18
- Pages
- 188101-188101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1996447116
- Cited by
- 439
- References
- 0
- FWCI
- 29.28
- Type
- journal article
- Language
- en
- Open access
- green
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