Crowd Synchrony and Quorum Sensing in Delay-Coupled Lasers

Zamora-Munt, Jordi; Masoller, Cristina; García-Ojalvo, Jordi; Roy, Rajarshi

doi:10.1103/physrevlett.105.264101

Cited by 96 publications

(87 citation statements)

References 31 publications

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“…While in many cases coupling merely coordinates dynamical regimes that are already present in the isolated elements, in others it underlies the emergence of novel behaviors that would not exist in the absence of interaction between the elements [4,5]. In the brain, examples of such emergent behavior exist at the microscopic scale of networks of neurons, in the form of, for instance, collective oscillations arising from a balance between excitation and inhibition [6,7] and recurrent up/down dynamics [8].…”

Section: Introductionmentioning

confidence: 99%

Collective excitability in a mesoscopic neuronal model of epileptic activity

2018

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Aquesta és una còpia de la versió author's final draft d'un article publicat a la revista [Physical Review E]. URL d'aquest document a UPCommons E-prints:http://hdl.handle.net/2117/113120Article publicat / Published paper: Maciej J., Pons, A.J. and García-Ojalvo, J. (2018) The brain can be understood as a collection of interacting neuronal oscillators, but the extent to which its sustained activity is due to coupling among brain areas is still unclear. Here we study the joint dynamics of two cortical columns described by Jansen-Rit neural mass models, and show that coupling between the columns gives rise to stochastic initiations of sustained collective activity, which can be interpreted as epileptic events. For large enough coupling strengths, termination of these events results mainly from the emergence of synchronization between the columns, and thus is controlled by coupling instead of noise. Stochastic triggering and noise-independent durations are characteristic of excitable dynamics, and thus we interpret our results in terms of collective excitability.

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Section: Introductionmentioning

confidence: 99%

Collective excitability in a mesoscopic neuronal model of epileptic activity

2018

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“…laser with feedback [1][2][3][4]), vehicle systems [5], to neural networks [6], information processing [7], and many others [8]. A finite propagation velocity of the information introduces in such systems a new relevant scale, which is comparable or higher than the intrinsic timescales.…”

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confidence: 99%

“…The spatial coordinates in (3) can be rewritten as x =x − δū and y =ȳ − |b|δū, wherex = εt,ȳ = ε 2 t, andū = ε 3 t. As a consequence, we can infer the existence of a (fast) drift along the vector V d = (−1, −|b|) in the "naive" coordinates (x,ȳ). The corrected coordinates (3) eliminate this drift so that the remaining variables are governed by the Ginzburg-Landau equation (2).…”

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confidence: 99%

Pattern Formation in Systems with Multiple Delayed Feedbacks

Yanchuk

Giacomelli

2014

Phys. Rev. Lett.

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Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce a class of systems with multiple, hierarchically long time delays, and using a suitable space-time representation we uncover features otherwise hidden in their temporal dynamics. The behaviour in the case of two delays is shown to "encode" two-dimensional spiral defects and defects turbulence. A multiple scale analysis sets the equivalence to a complex Ginzburg-Landau equation, and a novel criterium for the attainment of the long-delay regime is introduced. We also demonstrate this phenomenon for a semiconductor laser with two delayed optical feedbacks.Systems with time delays are common in many fields, ranging from optics (e.g. laser with feedback [1-4]), vehicle systems [5], to neural networks [6], information processing [7], and many others [8]. A finite propagation velocity of the information introduces in such systems a new relevant scale, which is comparable or higher than the intrinsic timescales. It has been shown that the complexity of such systems, e.g. the dimension of attractors, is finite and it grows linearly with time delay [9]; moreover, the spectrum of Lyapunov exponents approaches a continuous limit for long delay [10][11][12]. As a result, in this case essentially high-dimensional phenomena can occur such as spatio-temporal chaos [13], square waves [8], Eckhaus destabilization [14], or coarsening [3]. In the above mentioned situations, the system involves one long delay, which can be interpreted as the size of a onedimensional, spatially extended system [13,15]. This approach has proven to be instrumental in explaining new phenomena in systems with time delays [16,17].In this Letter, we show that many new challenging problems arise when a system is subject to several delayed feedbacks acting on different scales. In contrast to the single delay situation, essentially new phenomena occur, related to higher spatial dimensions involved in the dynamics, such as spirals or defect turbulence. As an illustration, we consider a specific physical system, namely, a model of a semiconductor laser with two optical feedbacks.A simple paradigmatic setup for the multiple delays case is the following systeṁEq.(1) describes a very general situation: the interplay of the oscillatory instability (Hopf bifurcation) and two delayed feedbacks z τi = z(t − τ i ), that we consider acting on different timescales 1 τ 1 τ 2 . The variable z(t) is complex, and the parameters a, b, and c determine the instantaneous, τ 1 -, and τ 2 -feedback rates, respectively. The instantaneous part of the system (without feedback) is known as the normal form for the Hopf bifurcation.The following basic questions arise: what kind of new phenomena can be observed in systems with several delayed feedbacks? Can one relate the dynamics of such systems to spatially extended systems with several spatial dimensions? In the case of positive answer, under which condi...

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“…Three-laser systems have been shown experimentally to undergo a route to synchronization via clustering, 22 while theoretical studies have addressed the collective behavior of higher numbers of coupled lasers. 23,24 The tendency is to move towards larger systems that can be used as experimental models of complex networks of dynamical elements. 1 An outstanding issue in these networks is how information is transmitted between pairs of nodes.…”

Section: Introductionmentioning

confidence: 99%

Dual-lag synchronization between coupled chaotic lasers due to path-delay interference

Tiana-Alsina

García-López

Torrent

et al. 2011

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We study experimentally the synchronization dynamics of two semiconductor lasers coupled unidirectionally via two different delayed paths. The emitter laser operates in a chaotic regime characterized by low-frequency fluctuations due to optical feedback and induces a synchronized dynamical activity in the receiver laser, which operates in the continuous-wave regime when uncoupled. Different delays in the two coupling paths lead to the coexistence of two time lags in the synchronized dynamics of the oscillators. This dual-lag synchronization degrades the average synchronization quality of the system of coupled lasers and hinders the transmission of information between them. Numerical simulation results agree with the experimental observations, and allow us to explore this phenomenon in a wide parameter range, and quantify the degree of signal transmission degradation caused by this chaotic path-delay interference.

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Crowd Synchrony and Quorum Sensing in Delay-Coupled Lasers

Cited by 96 publications

References 31 publications

Collective excitability in a mesoscopic neuronal model of epileptic activity

Collective excitability in a mesoscopic neuronal model of epileptic activity

Pattern Formation in Systems with Multiple Delayed Feedbacks

Dual-lag synchronization between coupled chaotic lasers due to path-delay interference

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