Imperfect chimera states for coupled pendula

The phenomenon of chimera states in the systems of coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interest. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Her...

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Bibliographic Details
Published in:Scientific reports 2014-09, Vol.4 (1), p.6379-6379, Article 6379
Main Authors: Kapitaniak, Tomasz, Kuzma, Patrycja, Wojewoda, Jerzy, Czolczynski, Krzysztof, Maistrenko, Yuri
Format: Article
Language:English
Subjects:
639/705/1041
639/766/530/2803
Asymmetry
Experiments
Humanities and Social Sciences
Mathematical models
multidisciplinary
Oscillators
Science
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Summary:The phenomenon of chimera states in the systems of coupled, identical oscillators has attracted a great deal of recent theoretical and experimental interest. In such a state, different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Here, considering the coupled pendula, we find another pattern, the so-called imperfect chimera state, which is characterized by a certain number of oscillators which escape from the synchronized chimera's cluster or behave differently than most of uncorrelated pendula. The escaped elements oscillate with different average frequencies (Poincare rotation number). We show that imperfect chimera can be realized in simple experiments with mechanical oscillators, namely Huygens clock. The mathematical model of our experiment shows that the observed chimera states are controlled by elementary dynamical equations derived from Newton's laws that are ubiquitous in many physical and engineering systems.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep06379