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

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.

Authors:
 [1];  [2];  [3];  [2];  [4];  [5];  [6];  [7];  [8];  [9];  [10];  [11];  [12]
  1. School of Physics, Indian Institute of Science Education and Research, Thiruvananthapuram 695016 (India)
  2. (India)
  3. Department of Physics, Anjalai Ammal-Engineering College, Kovilvenni 614 403, Tamilnadu (India)
  4. Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401 (India)
  5. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074 (China)
  6. (China)
  7. CSIR-Indian Institute of Chemical Biology, Kolkata 700032 (India)
  8. Centre for Nonlinear Dynamics, Bharathidasan University, Trichy 620024, Tamilnadu (India)
  9. Potsdam Institute for Climate Impact Research, Telegrafenberg, Potsdam D-14415 (Germany)
  10. (Germany)
  11. (United Kingdom)
  12. (Russian Federation)
Publication Date:
OSTI Identifier:
22596868
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 26; Journal Issue: 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ELECTRONIC CIRCUITS; NONLINEAR PROBLEMS; OSCILLATIONS; OSCILLATORS; STEADY-STATE CONDITIONS

Citation Formats

Senthilkumar, D. V., E-mail: skumarusnld@gmail.com, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401, Suresh, K., Centre for Nonlinear Dynamics, Bharathidasan University, Trichy 620024, Tamilnadu, Chandrasekar, V. K., Zou, Wei, Centre for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, Dana, Syamal K., Kathamuthu, Thamilmaran, Kurths, Jürgen, Institute of Physics, Humboldt University Berlin, Berlin D-12489, Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, and Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod. Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. United States: N. p., 2016. Web. doi:10.1063/1.4947081.
Senthilkumar, D. V., E-mail: skumarusnld@gmail.com, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401, Suresh, K., Centre for Nonlinear Dynamics, Bharathidasan University, Trichy 620024, Tamilnadu, Chandrasekar, V. K., Zou, Wei, Centre for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, Dana, Syamal K., Kathamuthu, Thamilmaran, Kurths, Jürgen, Institute of Physics, Humboldt University Berlin, Berlin D-12489, Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, & Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod. Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators. United States. doi:10.1063/1.4947081.
Senthilkumar, D. V., E-mail: skumarusnld@gmail.com, Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401, Suresh, K., Centre for Nonlinear Dynamics, Bharathidasan University, Trichy 620024, Tamilnadu, Chandrasekar, V. K., Zou, Wei, Centre for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, Dana, Syamal K., Kathamuthu, Thamilmaran, Kurths, Jürgen, Institute of Physics, Humboldt University Berlin, Berlin D-12489, Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, and Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod. 2016. "Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators". United States. doi:10.1063/1.4947081.
@article{osti_22596868,
title = {Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators},
author = {Senthilkumar, D. V., E-mail: skumarusnld@gmail.com and Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613 401 and Suresh, K. and Centre for Nonlinear Dynamics, Bharathidasan University, Trichy 620024, Tamilnadu and Chandrasekar, V. K. and Zou, Wei and Centre for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074 and Dana, Syamal K. and Kathamuthu, Thamilmaran and Kurths, Jürgen and Institute of Physics, Humboldt University Berlin, Berlin D-12489 and Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX and Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod},
abstractNote = {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.},
doi = {10.1063/1.4947081},
journal = {Chaos (Woodbury, N. Y.)},
number = 4,
volume = 26,
place = {United States},
year = 2016,
month = 4
}
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