Synchronization of Moving Chaotic Agents

Frasca, Mattia; Buscarino, Arturo; Rizzo, Alessandro; Fortuna, Luigi; Boccaletti, Stefano

doi:10.1103/physrevlett.100.044102

Cited by 192 publications

(198 citation statements)

References 15 publications

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“…This leads to the emergence of spin-waves in one dimension [29,30] and topological defects [31] in two dimensions. These facts, that relate synchronization theory and statistical mechanics, were often overlooked in studies of motile oscillators [32][33][34][35][36][37][38]. Here, we discuss how the motion of these topological excitations and the corresponding annihilation dynamics is affected by the motion of the oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…Whereas various previous studies focused on deterministic oscillators [32][33][34][35][36], we examine fluctuation-induced properties of synchronized states such as correlation functions and study synchronization from a statistical me-chanics perspective. In particular, we systematically derive a field theory from the oscillator model and demonstrate that oscillators moving diffusively exhibit a defectmediated transition from incoherence to quasi long-range order (QLRO) analogous to the Berezinskii-KosterlitzThouless (BKT) transition [39,40] in two dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Superdiffusion, large-scale synchronization, and topological defects

2016

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We study an ensemble of random walkers carrying internal noisy phase oscillators which are synchronized among the walkers by local interactions. Due to individual mobility, the interaction partners of every walker change randomly, hereby introducing an additional, independent source of fluctuations, thus constituting the intrinsic nonequilibrium nature of the temporal dynamics. We employ this paradigmatic model system to discuss how the emergence of order is affected by motion of individual entities. In particular, we consider both, normal diffusive motion and superdiffusion. A non-Hamiltonian field theory including multiplicative noise terms is derived which describes the nonequilibrium dynamics at the macroscale. This theory reveals a defect-mediated transition from incoherence to quasi long-range order for normal diffusion of oscillators in two dimensions, implying a power-law dependence of all synchronization properties on system size. In contrast, superdiffusive transport suppresses the emergence of topological defects, thereby inducing a continuous synchronization transition to long-range order in two dimensions. These results are consistent with particle-based simulations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Superdiffusion, large-scale synchronization, and topological defects

2016

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“…Network theory [14][15][16][17][18] is therefore the natural framework to investigate the emerging population-scale properties of the system. However, previous research has so far focused mainly on static random geometric networks [11,12], or on the opposite case of rapidly changing structures [19,20]. Only very recently has the more general case of time-dependent networks been fully addressed, for the specific case of the synchronization of mobile oscillators [21].…”

Section: Introductionmentioning

confidence: 99%

Consensus in networks of mobile communicating agents

Baronchelli

Dı́az-Guilera

2012

Phys. Rev. E

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Populations of mobile and communicating agents describe a vast array of technological and natural systems, ranging from sensor networks to animal groups. Here, we investigate how a group-level agreement may emerge in the continuously evolving network defined by the local interactions of the moving individuals. We adopt a general scheme of motion in two dimensions and we let the individuals interact through the minimal naming game, a prototypical scheme to investigate social consensus. We distinguish different regimes of convergence determined by the emission range of the agents and by their mobility, and we identify the corresponding scaling behaviors of the consensus time. In the same way, we rationalize also the behavior of the maximum memory used during the convergence process, which determines the minimum cognitive/storage capacity needed by the individuals. Overall, we believe that the simple and general model presented in this paper can represent a helpful reference for a better understanding of the behavior of populations of mobile agents.

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“…The model arises from the interaction of mobile agents proposed by Frasca et al [15], and can be widely used to explore various practical problems, e.g., clock synchronization in mobile robots [16], synchronized bulk oscillations [17], and task coordination of swarming animals [18]. We adopt the constraint of fast switching to derive synchronization conditions.…”

Section: Introductionmentioning

confidence: 99%

Global Synchronization of Moving Agent Networks with Time-varying Topological Structure

Wang¹,

Kong²,

Wang³

2012

Proceedings of the 2012 2nd International Conference on Computer and Information Applications (ICCIA 2012)

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Abstract-The synchronization of moving agent networks with linear coupling in a two dimensional space is investigated. Base on the Lyapunov stability theory, a criterion for the synchronization is achieved via designed decentralized controllers. And, an example of typical moving agent network, having the Rössler system at each node, has been used to demonstrate and verify the design proposed. And, the numerical simulation results show the effectiveness of proposed synchronization approaches.

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Synchronization of Moving Chaotic Agents

Cited by 192 publications

References 15 publications

Superdiffusion, large-scale synchronization, and topological defects

Superdiffusion, large-scale synchronization, and topological defects

Consensus in networks of mobile communicating agents

Global Synchronization of Moving Agent Networks with Time-varying Topological Structure

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