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

Hao Yin

doi:doi:10.11648/j.ajpa.20190701.15

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

Hao Yin

Published in American Journal of Physics and Applications (Volume 7, Issue 1)

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 (ε_th) 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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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
SP  - 27
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

Hao Yin

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

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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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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
SP  - 27
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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