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

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...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2016-04, Vol.26 (4), p.043112-043112
Main Authors: Senthilkumar, D. V., Suresh, K., Chandrasekar, V. K., Zou, Wei, Dana, Syamal K., Kathamuthu, Thamilmaran, Kurths, Jürgen
Format: Article
Language:English
Subjects:
Circuits
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Delay
ELECTRONIC CIRCUITS
Electronics
MATHEMATICAL METHODS AND COMPUTING
Nonlinear Dynamics
NONLINEAR PROBLEMS
OSCILLATIONS
OSCILLATORS
Parameters
Response time
Stability
Steady state
STEADY-STATE CONDITIONS
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Summary: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4947081