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Chimera states as chaotic spatiotemporal patterns
Abstract
Chimera states are a recently new discovered dynamical phenomenon that appears in arrays of nonlocally coupled oscillators and displays a spatial pattern of coherent and incoherent regions. We report here an additional feature of this dynamical regime: an irregular motion of the position of the coherent and incoherent regions, i.e., we reveal the nature of the chimera as a spatiotemporal pattern with a regular macroscopic pattern in space, and an irregular motion in time. This motion is a finite-size effect that is not observed in the thermodynamic limit. We show that on a large time scale, it can be described as a Brownian motion. We provide a detailed study of its dependence on the number of oscillators N and the parameters of the system.
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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
Compte, A. (2000) · Cerebral Cortex · doi:10.1093/cercor/10.9.910 · Cited by 1,143
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
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
Metadata
- Authors
- Omel’chenko, O. E., Wolfrum, M., & Maistrenko, Y. L.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2010-06-25
- Volume
- 81
- Issue
- 6
- Pages
- 065201-065201
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2033516940
- Cited by
- 158
- References
- 2
- FWCI
- 8.01
- Type
- journal article
- Language
- en
- Open access
- closed
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- Omel’chenko, O. E., Wolfrum, M., & Maistrenko, Y. L. (2010). Chimera states as chaotic spatiotemporal patterns. Physical Review E. https://doi.org/10.1103/physreve.81.065201
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