Revival of oscillations via common environment

Yadav, Manish; Sharma, Amit; Shrimali, Manish Dev; Sinha, Sudeshna

doi:10.1007/s11071-017-4010-3

Cited by 11 publications

(2 citation statements)

References 34 publications

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“…The idea is rooted in phenomena where a common medium influences oscillators, such as in the population of yeast cells [20], where acetaldehyde is used as a common medium, or in mechanical oscillators in a fluid environment [21]. Studies on the effect of an external environment on coupled Stuart-Landau oscillators has revealed phenomena such as the revival of oscillations in a group of oscillators at steady state by coupling to an oscillating group via a common environment [22], phase-flip transitions in a system of oscillators diffusively coupled to the environment [23] and co-existence of in-phase oscillations and oscillation death in environmentally coupled oscillators [24].…”

Section: Coupled Oscillatorsmentioning

confidence: 99%

Environment-induced symmetry breaking of the oscillation-death state

2018

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We investigate the impact of a common external system, which we call a common environment, on the Oscillator Death (OD) states of a group of Stuart-Landau oscillators. The group of oscillators yield a completely symmetric OD state when uncoupled to the external system, i.e. the two OD states occur with equal probability. However, remarkably, when coupled to a common external system this symmetry is significantly broken. For exponentially decaying external systems, the symmetry breaking is very pronounced for low environmental damping and strong oscillator-environment coupling. This is evident through the sharp transition from the symmetric to asymmetric state occurring at a critical oscillator-environment coupling strength and environmental damping rate. Further, we consider time-varying connections to the common external environment, with a fraction of oscillator-environment links switching on and off. Interestingly, we find that the asymmetry induced by environmental coupling decreases as a power law with increase in fraction of such on-off connections. The suggests that blinking oscillator-environment links can restore the symmetry of the OD state. Lastly, we demonstrate the generality of our results for a constant external drive, and find marked breaking of symmetry in the OD states there as well. When the constant environmental drive is large, the asymmetry in the OD states is very large, and the transition between the symmetric and asymmetric state with increasing oscillator-environment coupling is very sharp. So our results demonstrate an environmental coupling-induced mechanism for the prevalence of certain OD states in a system of oscillators, and suggests an underlying process for obtaining certain states preferentially in ensembles of oscillators with environment-mediated coupling.

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Section: Coupled Oscillatorsmentioning

confidence: 99%

Environment-induced symmetry breaking of the oscillation-death state

2018

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“…is concept has been presented in [19]. Since then, the restoration of rhythmicity and revival of oscillation have been investigated widely with the numerical, theoretical, and experimental method [20][21][22][23][24][25]. For example, a scheme for reviving the oscillation states from the quenching states in the coupled dynamical networks has been proposed, and an experiment of chemical reaction was performed to verify this method [26].…”

Section: Introductionmentioning

confidence: 99%

A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network

Yao

2020

Complexity

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Oscillatory behavior is absolutely necessary for the normal functioning of various organisms and their performance. Therefore, it is necessary to protect the oscillatory behavior in an aging network which consists of oscillatory and nonoscillatory nodes. In this work, we investigate numerically and theoretically the effect of time delay on oscillatory behaviors in a network which includes active and inactive Stuart–Landau oscillators. Interestingly, we find a chimera oscillatory state where a part of oscillators is a steady state while other oscillators preserve oscillatory motion; such dynamical behaviors are considered generally to be impossible for globally coupled systems when the coupling strength is sufficiently large. Furthermore, our results reveal that time delay can effectively inhibit aging transition and recover the oscillatory behavior from the aging network.

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