Quenching, aging, and reviving in coupled dynamical networks

Zou, Wei; Senthilkumar, D. V.; Zhan, Meng; Kurths, Jürgen

doi:10.1016/j.physrep.2021.07.004

Cited by 81 publications

(42 citation statements)

References 432 publications

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“…The presence of undesirable self-sustained oscillations in many practical systems has been a matter of concern for researchers over the years. Notorious examples of such oscillations include wobbling bridges [1], fluttering aircraft wings [2], rumbling combustors [3,4], oscillatory prey-predator populations [5,6], and stock market fluctuations [7]. The presence of these oscillations can have catastrophic consequences such as destruction of bridges, structural damage to aircraft and combustors, extinction of species, and financial crisis, respectively.…”

Section: Introductionmentioning

confidence: 99%

Self-coupling: An Effective Method to Mitigate Thermoacoustic Instability

Srikanth¹,

Sahay²,

Pawar³

et al. 2021

Preprint

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The presence of undesirable large-amplitude self-sustained oscillations in combustors -called thermoacoustic instability -can lead to performance loss and structural damage to components of gas turbine and rocket engines. Traditional feedback controls to mitigate thermoacoustic instability possess electromechanical components, which are expensive to maintain regularly and unreliable in the harsh environments of combustors. In this study, we demonstrate the quenching of thermoacoustic instability through self-coupling -a method wherein a hollow tube is used to provide acoustic selffeedback to a thermoacoustic system. Through experiments and modeling, we identify the optimal coupling conditions for attaining amplitude death, i.e., complete suppression of thermoacoustic instabilities, in a horizontal Rijke tube. We examine the effect of both system and coupling parameters on the occurrence of amplitude death. We thereby show that the parametric regions of amplitude death occur when the coupling tube length is an odd multiple of the length of the Rijke tube. The optimal location of the coupling tube for achieving amplitude death is near the anti-node position of the acoustic standing wave in the Rijke tube. We also find that self-coupling mitigates thermoacoustic instability in a Rijke tube more effectively than mutual coupling of two identical Rijke tubes. Furthermore, our model shows that the combined application of self and mutual coupling in two identical Rijke tubes can completely suppress oscillations that are not quenched by the individual application of either self or mutual coupling. Thus, we believe that self-coupling can prove to be a simple, cost-effective solution for mitigating thermoacoustic instability in gas turbine combustors.

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Section: Introductionmentioning

confidence: 99%

Self-coupling: An Effective Method to Mitigate Thermoacoustic Instability

Srikanth¹,

Sahay²,

Pawar³

et al. 2021

Preprint

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“…We note in passing that in the context of our model, OD refers to a state in which r(t) at long times has a non-zero timeindependent value, while OD refers to quenching of oscillations in coupled dynamical networks 41 .…”

Section: Oscillation Death (Od) Statementioning

confidence: 99%

The Sakaguchi-Kuramoto model in presence of asymmetric interactions that break phase-shift symmetry

Manoranjani,

Gupta,

Chandrasekar

2021

Preprint

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“…Complex systems abound in nature, both in the forms of man-made systems and natural systems, including power grid, internet, social network, neural network, and so on. Depending on the network geometries, system parameters, and interaction among the dynamical ensembles, such complex systems exhibit various collective behaviors, including synchronization [1,2,3], clustering [4,5], solitary state [6,7,8,9], chimera [10,11,12,13,14,15,16], and oscillation quenching [17,18,19,20,21,22,23]. Each of these dynamical states implies a great significance with the many real-world instances.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, deterioration or degrading of dynamical activity is also a severe issue which exists in many complex networks, for instance, cascading failure of power grids, and decreasing efficiency of living organisms are a few examples of such degradations [22,34,35]. Originally, this was reported by Daido et al in globally coupled oscillators [36].…”

Section: Introductionmentioning

confidence: 99%

Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging

Sathiyadevi,

Premraj,

Banerjee

et al. 2022

Preprint

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We explore the aging transition in a network of globally coupled Stuart-Landau oscillators under a discrete time-dependent coupling. In this coupling, the connections among the oscillators are turned ON and OFF in a systematic manner, having either a symmetric or an asymmetric time interval. We discover that depending upon the time period and duty cycle of the ON-OFF intervals, the aging region shrinks drastically in the parameter space, therefore promoting restoration of oscillatory dynamics from the aging. In the case of symmetric discrete coupling (where the ON-OFF intervals are equal), the aging zone decreases significantly with the resumption of dynamism with an increasing time period of the ON-OFF intervals. On the other hand, in the case of asymmetric coupling (where the ON-OFF intervals are not equal), we find that the ratio of the ON and OFF intervals controls the aging dynamics: the aging state is revoked more effectively if the interval of the OFF state is greater than the ON state. Finally, we study the transition in aging using a discrete pulse coupling: we note that the pulse interval plays a crucial role in determining the aging region. For all the cases of discrete time-dependent couplings, the aging regions are shrinking and the

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Quenching, aging, and reviving in coupled dynamical networks

Cited by 81 publications

References 432 publications

Self-coupling: An Effective Method to Mitigate Thermoacoustic Instability

Self-coupling: An Effective Method to Mitigate Thermoacoustic Instability

The Sakaguchi-Kuramoto model in presence of asymmetric interactions that break phase-shift symmetry

Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging

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