Chimera States in Mechanical Oscillator Networks
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Chimera States in Mechanical Oscillator Networks. / Martens, Erik Andreas; Thutupalli, Shashi; Fourrière, Antoine; Hallatschek, Oskar.
In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 110, No. 26, 2013, p. 10563-10567.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Chimera States in Mechanical Oscillator Networks
AU - Martens, Erik Andreas
AU - Thutupalli, Shashi
AU - Fourrière, Antoine
AU - Hallatschek, Oskar
PY - 2013
Y1 - 2013
N2 - The synchronization of coupled oscillators is a fascinating manifestation of self- organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. While it was long thought that synchrony or disorder were mutually exclusive steady states for a network of identical oscillators, numerous the- oretical studies in recent years revealed the intriguing possibility of ‘chimera states’, in which the symmetry of the oscillator population is broken into a synchronous and an asynchronous part. However, a striking lack of empirical evidence raises the question of whether chimeras are indeed characteristic to natural systems. This calls for a palpable realization of chimera states without any fine-tuning, from which physical mechanisms underlying their emergence can be uncovered. Here, we devise a simple experiment with mechanical oscillators coupled in a hierarchical network to show that chimeras emerge naturally from a competition between two antagonistic synchronization patterns. We identify a wide spectrum of complex states, encompassing and extending the set of previously described chimeras. Our mathematical model shows that the self-organization observed in our experiments is controlled by elementary dynamical equations from mechanics that are ubiquitous in many natural and technological systems. The symmetry breaking mechanism revealed by our experiments may thus be prevalent in systems exhibiting collective behaviour, such as power grids, opto-mechanical crystals or cells communicating via quorum sensing in microbial populations.
AB - The synchronization of coupled oscillators is a fascinating manifestation of self- organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. While it was long thought that synchrony or disorder were mutually exclusive steady states for a network of identical oscillators, numerous the- oretical studies in recent years revealed the intriguing possibility of ‘chimera states’, in which the symmetry of the oscillator population is broken into a synchronous and an asynchronous part. However, a striking lack of empirical evidence raises the question of whether chimeras are indeed characteristic to natural systems. This calls for a palpable realization of chimera states without any fine-tuning, from which physical mechanisms underlying their emergence can be uncovered. Here, we devise a simple experiment with mechanical oscillators coupled in a hierarchical network to show that chimeras emerge naturally from a competition between two antagonistic synchronization patterns. We identify a wide spectrum of complex states, encompassing and extending the set of previously described chimeras. Our mathematical model shows that the self-organization observed in our experiments is controlled by elementary dynamical equations from mechanics that are ubiquitous in many natural and technological systems. The symmetry breaking mechanism revealed by our experiments may thus be prevalent in systems exhibiting collective behaviour, such as power grids, opto-mechanical crystals or cells communicating via quorum sensing in microbial populations.
KW - Chimera states,kuramoto model,mechanical oscillators,nonlocal coupling,oscillator network
U2 - 10.1073/pnas.1302880110
DO - 10.1073/pnas.1302880110
M3 - Journal article
C2 - 23759743
VL - 110
SP - 10563
EP - 10567
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
SN - 0027-8424
IS - 26
ER -
ID: 71129692