Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators

D. V. Senthilkumar*, K. Suresh, V. K. Chandrasekar, Wei Zou, Syamal K. Dana, Thamilmaran Kathamuthu, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticle

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Abstract

We experimentally demonstrate that a processing delay, a finite response time, in the coupling can revoke the stability of the stable steady states, thereby facilitating the revival of oscillations in the same parameter space where the coupled oscillators suffered the quenching of oscillation. This phenomenon of reviving of oscillations is demonstrated using two different prototype electronic circuits. Further, the analytical critical curves corroborate that the spread of the parameter space with stable steady state is diminished continuously by increasing the processing delay. Finally, the death state is completely wiped off above a threshold value by switching the stability of the stable steady state to retrieve sustained oscillations in the same parameter space. The underlying dynamical mechanism responsible for the decrease in the spread of the stable steady states and the eventual reviving of oscillation as a function of the processing delay is explained using analytical results. Published by AIP Publishing.

Original languageEnglish
Article number043112
Number of pages5
JournalChaos
Volume26
Issue number4
Early online date22 Apr 2016
DOIs
Publication statusPublished - Apr 2016

Keywords

  • LIMIT-CYCLE OSCILLATORS
  • DELAY-INDUCED DEATH
  • AMPLITUDE DEATH
  • SYSTEMS

Cite this

Senthilkumar, D. V., Suresh, K., Chandrasekar, V. K., Zou, W., Dana, S. K., Kathamuthu, T., & Kurths, J. (2016). Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. Chaos, 26(4), [043112]. https://doi.org/10.1063/1.4947081

Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. / Senthilkumar, D. V.; Suresh, K.; Chandrasekar, V. K.; Zou, Wei; Dana, Syamal K.; Kathamuthu, Thamilmaran; Kurths, Juergen.

In: Chaos, Vol. 26, No. 4, 043112, 04.2016.

Research output: Contribution to journalArticle

Senthilkumar, DV, Suresh, K, Chandrasekar, VK, Zou, W, Dana, SK, Kathamuthu, T & Kurths, J 2016, 'Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators', Chaos, vol. 26, no. 4, 043112. https://doi.org/10.1063/1.4947081
Senthilkumar DV, Suresh K, Chandrasekar VK, Zou W, Dana SK, Kathamuthu T et al. Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. Chaos. 2016 Apr;26(4). 043112. https://doi.org/10.1063/1.4947081
Senthilkumar, D. V. ; Suresh, K. ; Chandrasekar, V. K. ; Zou, Wei ; Dana, Syamal K. ; Kathamuthu, Thamilmaran ; Kurths, Juergen. / Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. In: Chaos. 2016 ; Vol. 26, No. 4.
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abstract = "We experimentally demonstrate that a processing delay, a finite response time, in the coupling can revoke the stability of the stable steady states, thereby facilitating the revival of oscillations in the same parameter space where the coupled oscillators suffered the quenching of oscillation. This phenomenon of reviving of oscillations is demonstrated using two different prototype electronic circuits. Further, the analytical critical curves corroborate that the spread of the parameter space with stable steady state is diminished continuously by increasing the processing delay. Finally, the death state is completely wiped off above a threshold value by switching the stability of the stable steady state to retrieve sustained oscillations in the same parameter space. The underlying dynamical mechanism responsible for the decrease in the spread of the stable steady states and the eventual reviving of oscillation as a function of the processing delay is explained using analytical results. Published by AIP Publishing.",
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AU - Kathamuthu, Thamilmaran

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N2 - We experimentally demonstrate that a processing delay, a finite response time, in the coupling can revoke the stability of the stable steady states, thereby facilitating the revival of oscillations in the same parameter space where the coupled oscillators suffered the quenching of oscillation. This phenomenon of reviving of oscillations is demonstrated using two different prototype electronic circuits. Further, the analytical critical curves corroborate that the spread of the parameter space with stable steady state is diminished continuously by increasing the processing delay. Finally, the death state is completely wiped off above a threshold value by switching the stability of the stable steady state to retrieve sustained oscillations in the same parameter space. The underlying dynamical mechanism responsible for the decrease in the spread of the stable steady states and the eventual reviving of oscillation as a function of the processing delay is explained using analytical results. Published by AIP Publishing.

AB - We experimentally demonstrate that a processing delay, a finite response time, in the coupling can revoke the stability of the stable steady states, thereby facilitating the revival of oscillations in the same parameter space where the coupled oscillators suffered the quenching of oscillation. This phenomenon of reviving of oscillations is demonstrated using two different prototype electronic circuits. Further, the analytical critical curves corroborate that the spread of the parameter space with stable steady state is diminished continuously by increasing the processing delay. Finally, the death state is completely wiped off above a threshold value by switching the stability of the stable steady state to retrieve sustained oscillations in the same parameter space. The underlying dynamical mechanism responsible for the decrease in the spread of the stable steady states and the eventual reviving of oscillation as a function of the processing delay is explained using analytical results. Published by AIP Publishing.

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