Restoration of oscillation in network of oscillators in presence of direct and indirect interactions

Majhi, Soumen; Bera, Bidesh K.; Bhowmick, Sourav K.; Ghosh, Dibakar

doi:10.1016/j.physleta.2016.08.036

Cited by 24 publications

(11 citation statements)

References 39 publications

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“…In the present article, we introduce a feedback parameter γ in the coupling function for reviving the oscillation state from amplitude death state, the influence of which in doing so has been validated earlier [39][40][41][42] for networks possessing stationary connections.…”

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confidence: 81%

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Amplitude death and resurgence of oscillation in networks of mobile oscillators

Majhi¹,

Ghosh²

2017

EPL

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The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic systems exhibit significant changes in the interaction pattern as time varies. In this article, we study the emergence of amplitude death in a dynamical network composed of time-varying interaction amidst a collection of random walkers in a finite region of three dimensional space. We consider an oscillator for each walker and demonstrate that depending upon the network parameters and hence the interaction between them, global oscillation in the network gets suppressed. In this framework, vision range of each oscillator decides the number of oscillators with which it interacts. In addition, with the use of an appropriate feedback parameter in the coupling strategy, we articulate how the suppressed oscillation can be resurrected in the systems' parameter space. The phenomenon of amplitude death and the resurgence of oscillation is investigated taking limit cycle and chaotic oscillators for broad ranges of parameters, like interaction strength k between the entities, vision range r and the speed of movement v.

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confidence: 81%

“…This suggests that there should be some proper prescription to resurrect oscillation from such quenched states. Regarding this issue of revival of oscillations, there exists some significant contributions [36][37][38][39][40][41][42].…”

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confidence: 99%

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Majhi¹,

Ghosh²

2017

EPL

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“…Ghosh et al examined the restoration of oscillation process from the mean-field [21] induced death states of coupled systems. Revival of oscillation scenario is also investigated in a network of coupled oscillators in the presence of direct and indirect interactions [22]. Very recently this process has been verified experimentally [23] using processing delay in interaction term of coupled systems.…”

Section: Introductionmentioning

confidence: 96%

Resurgence of oscillation in coupled oscillators under delayed cyclic interaction

2017

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This paper investigates the emergence of amplitude death and revival of oscillations from the suppression states in a system of coupled dynamical units interacting through delayed cyclic mode. In order to resurrect the oscillation from amplitude death state, we introduce asymmetry and feedback parameter in the cyclic coupling forms as a result of which the death region shrinks due to higher asymmetry and lower feedback parameter values for coupled oscillatory systems. Some analytical conditions are derived for amplitude death and revival of oscillations in two coupled limit cycle oscillators and corresponding numerical simulations confirm the obtained theoretical results. We also report that the death state and revival of oscillations from quenched state are possible in the network of identical coupled oscillators. The proposed mechanism has also been examined using chaotic Lorenz oscillator. a

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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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Restoration of oscillation in network of oscillators in presence of direct and indirect interactions

Cited by 24 publications

References 39 publications

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Amplitude death and resurgence of oscillation in networks of mobile oscillators

Resurgence of oscillation in coupled oscillators under delayed cyclic interaction

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

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