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Chimera States in Three Populations of Pendulum-Like Elements with Inertia

Received: 24 January 2019     Accepted: 6 March 2019     Published: 19 March 2019
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Abstract

The aim of this study is to investigate the chimera states in three populations of pendulum-like elements with inertia in varying network topology. Considering the coupling strength between oscillators within each population is stronger than the inter-population coupling, we search for the chimera states in three populations of pendulum-like elements under the ring and the chain structures by adjusting the inertia and the damping parameter. The numerical evidence is presented showing that chimera states exist in a narrow interval of inertia in ring and chain structures. It is found that chimera states cease to exist with the decreasing of damping parameter. Furthermore, it is revealed that there is a linear relationship between the inertia (m) and damping parameter threshold (εth) in the two network structures.

Published in American Journal of Physics and Applications (Volume 7, Issue 1)
DOI 10.11648/j.ajpa.20190701.15
Page(s) 27-33
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Chimera States, Inertia, Network Topology

References
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Cite This Article
  • APA Style

    Hao Yin. (2019). Chimera States in Three Populations of Pendulum-Like Elements with Inertia. American Journal of Physics and Applications, 7(1), 27-33. https://doi.org/10.11648/j.ajpa.20190701.15

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    ACS Style

    Hao Yin. Chimera States in Three Populations of Pendulum-Like Elements with Inertia. Am. J. Phys. Appl. 2019, 7(1), 27-33. doi: 10.11648/j.ajpa.20190701.15

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    AMA Style

    Hao Yin. Chimera States in Three Populations of Pendulum-Like Elements with Inertia. Am J Phys Appl. 2019;7(1):27-33. doi: 10.11648/j.ajpa.20190701.15

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  • @article{10.11648/j.ajpa.20190701.15,
      author = {Hao Yin},
      title = {Chimera States in Three Populations of Pendulum-Like Elements with Inertia},
      journal = {American Journal of Physics and Applications},
      volume = {7},
      number = {1},
      pages = {27-33},
      doi = {10.11648/j.ajpa.20190701.15},
      url = {https://doi.org/10.11648/j.ajpa.20190701.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20190701.15},
      abstract = {The aim of this study is to investigate the chimera states in three populations of pendulum-like elements with inertia in varying network topology. Considering the coupling strength between oscillators within each population is stronger than the inter-population coupling, we search for the chimera states in three populations of pendulum-like elements under the ring and the chain structures by adjusting the inertia and the damping parameter. The numerical evidence is presented showing that chimera states exist in a narrow interval of inertia in ring and chain structures. It is found that chimera states cease to exist with the decreasing of damping parameter. Furthermore, it is revealed that there is a linear relationship between the inertia (m) and damping parameter threshold (εth) in the two network structures.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Chimera States in Three Populations of Pendulum-Like Elements with Inertia
    AU  - Hao Yin
    Y1  - 2019/03/19
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ajpa.20190701.15
    DO  - 10.11648/j.ajpa.20190701.15
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
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    EP  - 33
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20190701.15
    AB  - The aim of this study is to investigate the chimera states in three populations of pendulum-like elements with inertia in varying network topology. Considering the coupling strength between oscillators within each population is stronger than the inter-population coupling, we search for the chimera states in three populations of pendulum-like elements under the ring and the chain structures by adjusting the inertia and the damping parameter. The numerical evidence is presented showing that chimera states exist in a narrow interval of inertia in ring and chain structures. It is found that chimera states cease to exist with the decreasing of damping parameter. Furthermore, it is revealed that there is a linear relationship between the inertia (m) and damping parameter threshold (εth) in the two network structures.
    VL  - 7
    IS  - 1
    ER  - 

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Author Information
  • School of Science, Xi’an University of Posts and Telecommunications, Xi’an, China

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