Mobility and density induced amplitude death in metapopulation networks of coupled oscillators

Shen, Chuansheng; Chen, Hanshuang; Hou, Zhonghuai

doi:10.1063/1.4901581

Cited by 11 publications

(4 citation statements)

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“…Most of the subsequent work has focused on static networks [4]. However, in recent years, synchronization in temporal, or time-evolving, networks has received increasing attention, more specifically, in networks whose nodes represent physical agents that move in an environment and interact with local neighbors [6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Control of Synchronization Regimes in Networks of Mobile Interacting Agents

2017

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We investigate synchronization in a population of mobile pulse-coupled agents with a view towards implementations in swarm-robotics systems and mobile sensor networks. Previous theoretical approaches dealt with range and nearest-neighbor interactions. In the latter case, a synchronization-hindering regime for intermediate agent mobility is found. We investigate the robustness of this intermediate regime under practical scenarios. We show that synchronization in the intermediate regime can be predicted by means of a suitable metric of the phase response curve. Furthermore, we study more-realistic K-nearest-neighbor and cone-of-vision interactions, showing that it is possible to control the extent of the synchronizationhindering region by appropriately tuning the size of the neighborhood. To assess the effect of noise, we analyze the propagation of perturbations over the network and draw an analogy between the response in the hindering regime and stable chaos. Our findings reveal the conditions for the control of clock or activity synchronization of agents with intermediate mobility. In addition, the emergence of the intermediate regime is validated experimentally using a swarm of physical robots interacting with cone-of-vision interactions.

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Section: Introductionmentioning

confidence: 99%

Control of Synchronization Regimes in Networks of Mobile Interacting Agents

2017

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“…In the case of AD, oscillations are suppressed due to the stabilization of an otherwise unstable homogeneous steady state (HSS). 3 Hitherto, conditions such as frequency mismatch, [6][7][8][9][10][11][12] coupling with propagation delay, [13][14][15][16][17][18][19][20][21][22][23][24] and dynamic and conjugate interactions, [25][26][27] etc., have been identified to produce AD. In contrast, OD is manifested by stabilizing an inhomogeneous steady state (IHSS), where units populate different branches of the same stable IHSS.…”

Section: Introductionmentioning

confidence: 99%

Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment

Zou

Šebek

Kiss

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Amplitude death (AD) and oscillation death (OD) are two structurally different oscillation quenching phenomena in coupled nonlinear systems. As a reverse issue of AD and OD, revival of oscillations from deaths attracts an increasing attention recently. In this paper, we clearly disclose that a time delay in the self-feedback component of the coupling destabilizes not only AD but also OD, and even the AD to OD transition in paradigmatic models of coupled Stuart-Landau oscillators under diverse death configurations. Using a rigorous analysis, the effectiveness of this self-feedback delay in revoking AD is theoretically proved to be valid in an arbitrary network of coupled Stuart-Landau oscillators with generally distributed propagation delays. Moreover, the role of self-feedback delay in reviving oscillations from AD is experimentally verified in two delay-coupled electrochemical reactions.

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“…(a) E-mail: dibakar@isical.ac.in Most of the previous works on this phenomenon have assumed the interactions between the nodes to be invariant for all the course of time. However, due to its relevancy in diverse fields including physical, biological, social and engineering systems [2][3][4], especially in consensus problem [5], power transmission system [6], person-to-person communication [7][8][9] etc, there has been strong urge in involving time-varying connections, particularly in dynamical networks [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] of late.…”

mentioning

confidence: 99%

“…As far as the fascinating process of oscillation quenching is concerned, in recent studies [13][14][15][16][17], the concept of amplitude death has been investigated theoretically and experimentally in time-varying networks of static nodes. But studies so far, to the best of our knowledge, have mainly considered the variation of links over time, while keeping the spatial positions of the nodes fixed in space, except the work reported in [18] where mobility-induced amplitude death in coupled oscillators is studied under the metapopulation concept.…”

mentioning

confidence: 99%

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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Mobility and density induced amplitude death in metapopulation networks of coupled oscillators

Cited by 11 publications

References 70 publications

Control of Synchronization Regimes in Networks of Mobile Interacting Agents

Control of Synchronization Regimes in Networks of Mobile Interacting Agents

Revival of oscillations from deaths in diffusively coupled nonlinear systems: Theory and experiment

Amplitude death and resurgence of oscillation in networks of mobile oscillators

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