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Chimera States for Coupled Oscillators
Open accessAbstract
Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or globally coupled systems; they are peculiar to the intermediate case of nonlocal coupling. Here we present an exact solution for this state, for a ring of phase oscillators coupled by a cosine kernel. We show that the stable chimera state bifurcates from a spatially modulated drift state, and dies in a saddle-node bifurcation with an unstable chimera state.
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Cited by
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
Panaggio, M. J., & Abrams, D. M. (2015) · Nonlinearity · doi:10.1088/0951-7715/28/3/r67 · Cited by 788
Self-citationRobust detection of dynamic community structure in networks
Bassett, D. S., Porter, M. A., Wymbs, N. F., Grafton, S. T., Carlson, J. M., & Mucha, P. J. (2013) · Chaos: An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.4790830 · Cited by 425
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
Parastesh, F., Jafari, S., Azarnoush, H., Shahriari, Z., Wang, Z., Boccaletti, S., & Perc, M. (2021) · Physics Reports · doi:10.1016/j.physrep.2020.10.003 · Cited by 291
Phase reduction approach to synchronisation of nonlinear oscillators
Nakao, H. (2016) · Contemporary Physics · doi:10.1080/00107514.2015.1094987 · Cited by 278
Metadata
- Authors
- Abrams, D. M., & Strogatz, S. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-10-22
- Volume
- 93
- Issue
- 17
- Pages
- 174102-174102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2033770904
- Cited by
- 1,488
- References
- 0
- FWCI
- 6.68
- Type
- journal article
- Language
- en
- Open access
- green
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