Critical Switching in Globally Attractive Chimeras
We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we refer to as subchimeras, in which one cluster is synchronized a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-02-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.10.011044 |
| _version_ | 1818929432038998016 |
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| author | Yuanzhao Zhang Zachary G. Nicolaou Joseph D. Hart Rajarshi Roy Adilson E. Motter |
| author_facet | Yuanzhao Zhang Zachary G. Nicolaou Joseph D. Hart Rajarshi Roy Adilson E. Motter |
| author_sort | Yuanzhao Zhang |
| collection | DOAJ |
| description | We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we refer to as subchimeras, in which one cluster is synchronized and the other is incoherent. Despite each subchimera being linearly stable, switching chimeras are extremely sensitive to noise: Arbitrarily small noise triggers and sustains persistent switching between the two symmetric subchimeras. The average switching frequency scales as a power law with the noise intensity, which is in contrast with the exponential scaling observed in typical stochastic transitions. Rigorous numerical analysis reveals that the power-law switching behavior originates from intermingled basins of attraction associated with the two subchimeras, which, in turn, are induced by chaos and symmetry in the system. The theoretical results are supported by experiments on coupled optoelectronic oscillators, which demonstrate the generality and robustness of switching chimeras. |
| first_indexed | 2024-12-20T03:44:42Z |
| format | Article |
| id | doaj.art-8caefa8b3f0a4ee784681ca6e180ebf2 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-20T03:44:42Z |
| publishDate | 2020-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-8caefa8b3f0a4ee784681ca6e180ebf22022-12-21T19:54:38ZengAmerican Physical SocietyPhysical Review X2160-33082020-02-0110101104410.1103/PhysRevX.10.011044Critical Switching in Globally Attractive ChimerasYuanzhao ZhangZachary G. NicolaouJoseph D. HartRajarshi RoyAdilson E. MotterWe report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we refer to as subchimeras, in which one cluster is synchronized and the other is incoherent. Despite each subchimera being linearly stable, switching chimeras are extremely sensitive to noise: Arbitrarily small noise triggers and sustains persistent switching between the two symmetric subchimeras. The average switching frequency scales as a power law with the noise intensity, which is in contrast with the exponential scaling observed in typical stochastic transitions. Rigorous numerical analysis reveals that the power-law switching behavior originates from intermingled basins of attraction associated with the two subchimeras, which, in turn, are induced by chaos and symmetry in the system. The theoretical results are supported by experiments on coupled optoelectronic oscillators, which demonstrate the generality and robustness of switching chimeras.http://doi.org/10.1103/PhysRevX.10.011044 |
| spellingShingle | Yuanzhao Zhang Zachary G. Nicolaou Joseph D. Hart Rajarshi Roy Adilson E. Motter Critical Switching in Globally Attractive Chimeras Physical Review X |
| title | Critical Switching in Globally Attractive Chimeras |
| title_full | Critical Switching in Globally Attractive Chimeras |
| title_fullStr | Critical Switching in Globally Attractive Chimeras |
| title_full_unstemmed | Critical Switching in Globally Attractive Chimeras |
| title_short | Critical Switching in Globally Attractive Chimeras |
| title_sort | critical switching in globally attractive chimeras |
| url | http://doi.org/10.1103/PhysRevX.10.011044 |
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