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Partial synchronization in populations of pulse-coupled oscillators
Abstract
I study the long-term behavior of populations of nonlinear oscillators with all-to-all, noninstantaneous, pulse coupling. With fast enough excitatory coupling both the fully synchronized and the asynchronous state are unstable. In this case individual units fire quasiperiodically even though the network as a whole shows a periodic firing pattern. The behavior of networks with three or more units is different in this regard from that of two-unit networks. With inhibitory coupling the network can break up into a variable number of fully synchronized clusters. For fast inhibition the number of clusters tends to be large, while the number of clusters is smaller for slow inhibition. \textcopyright{} 1996 The American Physical Society.
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Cited by
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Yeung, M. K. S., & Strogatz, S. H. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.648 · Cited by 601
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
Metadata
- Authors
- Vreeswijk, C. V.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1996-11-01
- Volume
- 54
- Issue
- 5
- Pages
- 5522-5537
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2102917484
- Cited by
- 292
- References
- 0
- FWCI
- 12.71
- Type
- journal article
- Language
- en
- Open access
- closed
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