Resonance induced by repulsive interactions in a model of globally coupled bistable systems

Martins, Teresa Vaz; Livina, Valerie N.; Majtey, Ana P.; Toral, Raúl

doi:10.1103/physreve.81.041103

Cited by 24 publications

(21 citation statements)

References 39 publications

(49 reference statements)

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“…Hence, it is important to take this explicitly into account in theoretical studies. Effects of phase-repulsive coupling on neuronal dynamics have also been investigated in the past [40][41][42], where such coupling was considered to be related to inhibitory synapses. For example, it has been shown that a pair of excitable FitzHugh-Nagumo neurons can exhibit various firing patterns including multistability and chaotic firing when elements interact phase-repulsively [40].…”

Section: Introductionmentioning

confidence: 99%

Synchronous Bursts on Scale-Free Neuronal Networks with Attractive and Repulsive Coupling

2011

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This paper investigates the dependence of synchronization transitions of bursting oscillations on the information transmission delay over scale-free neuronal networks with attractive and repulsive coupling. It is shown that for both types of coupling, the delay always plays a subtle role in either promoting or impairing synchronization. In particular, depending on the inherent oscillation period of individual neurons, regions of irregular and regular propagating excitatory fronts appear intermittently as the delay increases. These delay-induced synchronization transitions are manifested as well-expressed minima in the measure for spatiotemporal synchrony. For attractive coupling, the minima appear at every integer multiple of the average oscillation period, while for the repulsive coupling, they appear at every odd multiple of the half of the average oscillation period. The obtained results are robust to the variations of the dynamics of individual neurons, the system size, and the neuronal firing type. Hence, they can be used to characterize attractively or repulsively coupled scale-free neuronal networks with delays.

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Section: Introductionmentioning

confidence: 99%

Synchronous Bursts on Scale-Free Neuronal Networks with Attractive and Repulsive Coupling

2011

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“…Applications of tipping point analysis have been found in geophysics (Lenton et al, 2009(Lenton et al, , 2012aLivina et al, 2010Livina et al, , 2011Livina et al, , 2012Cimatoribus et al, 2013), statistical physics (Vaz Martins et al, 2010;, ecology (Dakos et al, 2012), and structure health monitoring (Livina et al, 2014;Perry et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Tipping point analysis of ocean acoustic noise

Livina

Brouwer²,

Harris

et al. 2018

Nonlin. Processes Geophys.

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Abstract. We apply tipping point analysis to a large record of ocean acoustic data to identify the main components of the acoustic dynamical system and study possible bifurcations and transitions of the system. The analysis is based on a statistical physics framework with stochastic modelling, where we represent the observed data as a composition of deterministic and stochastic components estimated from the data using time-series techniques. We analyse long-term and seasonal trends, system states and acoustic fluctuations to reconstruct a one-dimensional stochastic equation to approximate the acoustic dynamical system. We apply potential analysis to acoustic fluctuations and detect several changes in the system states in the past 14 years. These are most likely caused by climatic phenomena. We analyse trends in sound pressure level within different frequency bands and hypothesize a possible anthropogenic impact on the acoustic environment. The tipping point analysis framework provides insight into the structure of the acoustic data and helps identify its dynamic phenomena, correctly reproducing the probability distribution and scaling properties (power-law correlations) of the time series.

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“…In a broader context, diversity-induced resonance can be generalized to other sources of disorder in the internal dynamics of the system constituents. Interestingly, even repulsive and evolving patterns of interactions can trigger a common collective behavior, be it synchronization [19,20], an amplification of an external signal [17,21] or a nonlinear increase in the volatility of the global dynamics [22]. In a social context, these repulsive interactions would represent contrarians, i.e.…”

Section: Introductionmentioning

confidence: 99%

Diversity-induced resonance in the response to social norms

2013

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In this paper we focus on diversity-induced resonance, which was recently found in bistable, excitable and other physical systems. We study the appearance of this phenomenon in a purely economic model of cooperating and defecting agents. Agent's contribution to a public good is seen as a social norm. So defecting agents face a social pressure, which decreases if free-riding becomes widespread. In this model, diversity among agents naturally appears because of the different sensitivity towards the social norm. We study the evolution of cooperation as a response to the social norm (i) for the replicator dynamics, and (ii) for the logit dynamics by means of numerical simulations. Diversity-induced resonance is observed as a maximum in the response of agents to changes in the social norm as a function of the degree of heterogeneity in the population. We provide an analytical, mean-field approach for the logit dynamics and find very good agreement with the simulations. From a socio-economic perspective, our results show that, counter-intuitively, diversity in the individual sensitivity to social norms may result in a society that better follows such norms as a whole, even if part of the population is less prone to follow them.

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Resonance induced by repulsive interactions in a model of globally coupled bistable systems

Cited by 24 publications

References 39 publications

Synchronous Bursts on Scale-Free Neuronal Networks with Attractive and Repulsive Coupling

Synchronous Bursts on Scale-Free Neuronal Networks with Attractive and Repulsive Coupling

Tipping point analysis of ocean acoustic noise

Diversity-induced resonance in the response to social norms

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