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Chimera states in heterogeneous networks
Open accessAbstract
Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronize with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical oscillators, but here we study these states in heterogeneous models for which the natural frequencies of the oscillators are chosen from a distribution. For a model consisting of two subnetworks, we obtain exact results by reduction to a finite set of differential equations, and for a network of oscillators in a ring, we generalize known results. We find that heterogeneity can destroy chimerae, destroy all states except chimerae, or destabilize chimerae in Hopf bifurcations, depending on the form of the heterogeneity.
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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
Tognoli, E., & Kelso, J. A. S. (2014) · Neuron · doi:10.1016/j.neuron.2013.12.022 · Cited by 718
Mathematical framework for large-scale brain network modeling in The Virtual Brain
Sanz-Leon, P., Knock, S. A., Spiegler, A., & Jirsa, V. K. (2015) · NeuroImage · doi:10.1016/j.neuroimage.2015.01.002 · Cited by 356
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
Metadata
- Authors
- Laing, C. R.
- Venue
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Publisher
- AIP Publishing
- Published
- 2009-02-10
- Volume
- 19
- Issue
- 1
- Pages
- 013113-013113
- ISSN
- 1054-1500 (ISSN-L)
- 1089-7682
- OpenAlex
- W1978972813
- Cited by
- 216
- References
- 0
- FWCI
- 16.11
- Type
- journal article
- Language
- en
- Open access
- green
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