Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System

Guruparan S.; Ravindran Durai Nayagam B.; Jeyakumari S.; Chinnathambi V.

doi:doi:10.11648/j.ijctc.20150303.11

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Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System

Guruparan S., Ravindran Durai Nayagam B., Jeyakumari S., Chinnathambi V.

Published in International Journal of Computational and Theoretical Chemistry (Volume 3, Issue 3)

Received: 20 May 2015 Accepted: 6 June 2015 Published: 23 June 2015

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Abstract

Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.

Published in	International Journal of Computational and Theoretical Chemistry (Volume 3, Issue 3)
DOI	10.11648/j.ijctc.20150303.11
Page(s)	19-27
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), 2024. Published by Science Publishing Group

Keywords

Brusselator, Various Periodic Forces, Bifurcations, Chaos, Quasiperiodic Orbit

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Guruparan S., Ravindran Durai Nayagam B., Jeyakumari S., Chinnathambi V. (2015). Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. International Journal of Computational and Theoretical Chemistry, 3(3), 19-27. https://doi.org/10.11648/j.ijctc.20150303.11

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ACS Style

Guruparan S.; Ravindran Durai Nayagam B.; Jeyakumari S.; Chinnathambi V. Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. Int. J. Comput. Theor. Chem. 2015, 3(3), 19-27. doi: 10.11648/j.ijctc.20150303.11

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AMA Style

Guruparan S., Ravindran Durai Nayagam B., Jeyakumari S., Chinnathambi V. Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. Int J Comput Theor Chem. 2015;3(3):19-27. doi: 10.11648/j.ijctc.20150303.11

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@article{10.11648/j.ijctc.20150303.11,
  author = {Guruparan S. and Ravindran Durai Nayagam B. and Jeyakumari S. and Chinnathambi V.},
  title = {Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System},
  journal = {International Journal of Computational and Theoretical Chemistry},
  volume = {3},
  number = {3},
  pages = {19-27},
  doi = {10.11648/j.ijctc.20150303.11},
  url = {https://doi.org/10.11648/j.ijctc.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijctc.20150303.11},
  abstract = {Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.},
 year = {2015}
}

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TY  - JOUR
T1  - Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System
AU  - Guruparan S.
AU  - Ravindran Durai Nayagam B.
AU  - Jeyakumari S.
AU  - Chinnathambi V.
Y1  - 2015/06/23
PY  - 2015
N1  - https://doi.org/10.11648/j.ijctc.20150303.11
DO  - 10.11648/j.ijctc.20150303.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 19
EP  - 27
PB  - Science Publishing Group
SN  - 2376-7308
UR  - https://doi.org/10.11648/j.ijctc.20150303.11
AB  - Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.
VL  - 3
IS  - 3
ER  -

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Author Information

Guruparan S.

Department of Chemistry, Sri K. G. S Arts College, Srivaikuntam, Tamilnadu, India
Ravindran Durai Nayagam B.

Department of Chemistry, Pope’s College, Sawyerpuram, Tamilnadu, India
Jeyakumari S.

Department of Physics, Sri K. G. S Arts College, Srivaikuntam, Tamilnadu, India
Chinnathambi V.

Department of Physics, Sri K. G. S Arts College, Srivaikuntam, Tamilnadu, India

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Plain Text BibTeX RIS

APA Style

Guruparan S., Ravindran Durai Nayagam B., Jeyakumari S., Chinnathambi V. (2015). Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. International Journal of Computational and Theoretical Chemistry, 3(3), 19-27. https://doi.org/10.11648/j.ijctc.20150303.11

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ACS Style

Guruparan S.; Ravindran Durai Nayagam B.; Jeyakumari S.; Chinnathambi V. Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. Int. J. Comput. Theor. Chem. 2015, 3(3), 19-27. doi: 10.11648/j.ijctc.20150303.11

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AMA Style

Guruparan S., Ravindran Durai Nayagam B., Jeyakumari S., Chinnathambi V. Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System. Int J Comput Theor Chem. 2015;3(3):19-27. doi: 10.11648/j.ijctc.20150303.11

Copy | Download

@article{10.11648/j.ijctc.20150303.11,
  author = {Guruparan S. and Ravindran Durai Nayagam B. and Jeyakumari S. and Chinnathambi V.},
  title = {Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System},
  journal = {International Journal of Computational and Theoretical Chemistry},
  volume = {3},
  number = {3},
  pages = {19-27},
  doi = {10.11648/j.ijctc.20150303.11},
  url = {https://doi.org/10.11648/j.ijctc.20150303.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijctc.20150303.11},
  abstract = {Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.},
 year = {2015}
}

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TY  - JOUR
T1  - Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System
AU  - Guruparan S.
AU  - Ravindran Durai Nayagam B.
AU  - Jeyakumari S.
AU  - Chinnathambi V.
Y1  - 2015/06/23
PY  - 2015
N1  - https://doi.org/10.11648/j.ijctc.20150303.11
DO  - 10.11648/j.ijctc.20150303.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 19
EP  - 27
PB  - Science Publishing Group
SN  - 2376-7308
UR  - https://doi.org/10.11648/j.ijctc.20150303.11
AB  - Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.
VL  - 3
IS  - 3
ER  -

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