Dynamics of mobile coupled phase oscillators

Uriu, Koichiro; Ares, Saúl; Oates, Andrew C.; Morelli, Luis G.

doi:10.1103/physreve.87.032911

Cited by 53 publications

(89 citation statements)

References 35 publications

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“…In this paper we study a model that incorporates these two timescales. In contrast to the expectation that mobility favors the relaxation to homogeneous states [14,15,25], here we find that when considered together with coupling delays mobility can also drive the system into heterogeneous states with complex long lived patterns.…”

Section: Introductioncontrasting

confidence: 99%

“…In the absence of delays, mobility can speed up synchronization [15]. Two routes to global synchronization are observed.…”

Section: Resultsmentioning

confidence: 99%

“…The stochastic exchange of positions is modeled as a Poisson process. We introduce a mobility rate λ such that each pair of neighboring oscillators exchange positions with a probability λ/2 per unit time [14,15,23]. With this modeling, the waiting time for the next exchange event for each oscillator is stochastic and its statistics obey an exponential distri- bution with mean 1/λ.…”

Section: Theorymentioning

confidence: 99%

“…The relation of coupling delay and coupling strength determines a shift in collective frequency and multistability [12], and can affect pattern formation [13]. The interplay of coupling strength and mobility sets different regimes of synchronization dynamics from local to mean field behavior [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Mobility-induced persistent chimera states

2017

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We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These chimera states are dynamic and can persist for long times for intermediate mobility values. We discuss the mechanisms leading to the formation of these chimera states in different mobility regimes. This finding could be relevant for natural and technological systems composed of mobile communicating agents.

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Section: Introductioncontrasting

confidence: 99%

“…In the absence of delays, mobility can speed up synchronization [15]. Two routes to global synchronization are observed.…”

Section: Resultsmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mobility-induced persistent chimera states

2017

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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].…”

Section: Introductionmentioning

confidence: 99%

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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The “mechanostat” principle in cell differentiation. The osteochondroprogenitor paradigm

Tyrovola

2018

J of Cellular Biochemistry

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The "mechanostat" principle may be depicted as an oscillating signal of a signaling molecule, in which the amplitude, frequency, cumulative level, delay, and duration of the curve encode the information for concrete cellular responses and biological activities. When the oscillating signal is kept sustained (present delay), cell exit may be performed, whereas when the oscillating signal remains robust, cell proliferation may take place. B-catenin-Wnt signaling pathway has a key role in the differentiation of osteochondroprogenitor cells. Sustained downregulation of the β-catenin-Wnt pathway forces osteochondroprogenitors to a chondrogenic fate instead of an osteoblastic one. Other signaling, for example, bone morphogenetic protein and Notch signaling pathways interact with the Wnt pathway. The crosstalk between biochemical and mechanical stimuli produces the final information that leads to the final cell fate decisions, through the "mechanostat" principle.

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Dynamics of mobile coupled phase oscillators

Cited by 53 publications

References 35 publications

Mobility-induced persistent chimera states

Mobility-induced persistent chimera states

Superdiffusion, large-scale synchronization, and topological defects

The “mechanostat” principle in cell differentiation. The osteochondroprogenitor paradigm

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