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Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
Open accessAbstract
Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and merge death islands in the parameter space. Furthermore, when the variance of the distribution is larger than a threshold, the death region becomes unbounded and amplitude death can occur for any average value of delay. These phenomena are observed even with a small spread of delays, for different distribution functions, and an arbitrary number of oscillators.
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Cites
The Geometry of Biological Time
Winfree, A. T. (1980) · doi:10.1007/978-3-662-22492-2 · Cited by 3,613
Cited by
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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
Noori, R., Park, D., Griffiths, J. D., Bells, S., Frankland, P. W., Mabbott, D., & Lefebvre, J. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1916646117 · Cited by 137
Metadata
- Authors
- Atay, F. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-08-27
- Volume
- 91
- Issue
- 9
- Pages
- 094101-094101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2095196670
- Cited by
- 320
- References
- 1
- FWCI
- 10.91
- Type
- journal article
- Language
- en
- Open access
- green
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