Synchronization and desynchronization in the Olami-Feder-Christensen earthquake model and potential implications for real seismicity

Hergarten, Stefan; Krenn, Roland

doi:10.5194/npg-18-635-2011

Cited by 25 publications

(9 citation statements)

References 38 publications

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“…These asperity events form spatio-temporal clusters with pronounced characteristic features. The processes of synchronization and desynchronization in the OFC model with short-term correlations among events were also observed [38]. It was suggested that synchronization in the model drives it into a state with scale-invariant power-law distributed events while desynchronization results in the occurrence of aftershocks and foreshocks.…”

Section: The Olami-feder-christensen (Ofc) Modelmentioning

confidence: 83%

Record-breaking avalanches in driven threshold systems

2013

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Record-breaking avalanches generated by the dynamics of several driven nonlinear threshold models are studied. Such systems are characterized by intermittent behavior, where a slow buildup of energy is punctuated by an abrupt release of energy through avalanche events, which usually follow scale-invariant statistics. From the simulations of these systems it is possible to extract sequences of record-breaking avalanches, where each subsequent record-breaking event is larger in magnitude than all previous events. In the present work, several cellular automata are analyzed, among them the sandpile model, the Manna model, the Olami-Feder-Christensen (OFC) model, and the forest-fire model to investigate the record-breaking statistics of model avalanches that exhibit temporal and spatial correlations. Several statistical measures of record-breaking events are derived analytically and confirmed through numerical simulations. The statistics of record-breaking avalanches for the four models are compared to those of record-breaking events extracted from the sequences of independent and identically distributed (i.i.d.) random variables. It is found that the statistics of record-breaking avalanches for the above cellular automata exhibit behavior different from that observed for i.i.d. random variables, which in turn can be used to characterize complex spatiotemporal dynamics. The most pronounced deviations are observed in the case of the OFC model with a strong dependence on the conservation parameter of the model. This indicates that avalanches in the OFC model are not independent and exhibit spatiotemporal correlations.

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Section: The Olami-feder-christensen (Ofc) Modelmentioning

confidence: 83%

Record-breaking avalanches in driven threshold systems

2013

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“…Hence, b ≈ 1 means that the exponent γ is around γ = 1.6-1.7. The above are some of the reasons why the OFC model is considered to be the prime example [106] for a supposedly SOC system for earthquakes, but the question of whether real earthquakes are described or not by SOC models of this type, or whether other kinds of mechanisms, e.g., [107][108][109], need to be involved, still remains unsolved [82,86,100,[110][111][112][113][114].…”

Section: Olami-feder-christensen Earthquake Modelmentioning

confidence: 99%

Entropy in Natural Time and the Associated Complexity Measures

Sarlis

2017

Entropy

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Natural time is a new time domain introduced in 2001. The analysis of time series associated with a complex system in natural time may provide useful information and may reveal properties that are usually hidden when studying the system in conventional time. In this new time domain, an entropy has been defined, and complexity measures based on this entropy, as well as its value under time-reversal have been introduced and found applications in various complex systems. Here, we review these applications in the electric signals that precede rupture, e.g., earthquakes, in the analysis of electrocardiograms, as well as in global atmospheric phenomena, like the El Niño/La Niña Southern Oscillation.

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“…The model is an extended version of the OFC model, which itself is a kind of paradigm for SOC in non-conserved systems (Hergarten and Krenn, 2011), but it works differently from the original OFC model as a finite value of the driving rate ν is applied. By increasing the values of ν, which quantifies the rate of approaching instability, the system undergoes a smooth transition from a correlated regime characterized by power laws to an uncorrelated regime in frequency-size statistics (Piegari et al, 2009a).…”

Section: Discussionmentioning

confidence: 99%

Recurrence time distribution and temporal clustering properties of a cellular automaton modelling landslide events

Piegari

Maio

Avella

2013

Nonlin. Processes Geophys.

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Abstract. Reasonable prediction of landslide occurrences in a given area requires the choice of an appropriate probability distribution of recurrence time intervals. Although landslides are widespread and frequent in many parts of the world, complete databases of landslide occurrences over large periods are missing and often such natural disasters are treated as processes uncorrelated in time and, therefore, Poisson distributed. In this paper, we examine the recurrence time statistics of landslide events simulated by a cellular automaton model that reproduces well the actual frequency-size statistics of landslide catalogues. The complex time series are analysed by varying both the threshold above which the time between events is recorded and the values of the key model parameters. The synthetic recurrence time probability distribution is shown to be strongly dependent on the rate at which instability is approached, providing a smooth crossover from a power-law regime to a Weibull regime. Moreover, a Fano factor analysis shows a clear indication of different degrees of correlation in landslide time series. Such a finding supports, at least in part, a recent analysis performed for the first time of an historical landslide time series over a time window of fifty years.

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Synchronization and desynchronization in the Olami-Feder-Christensen earthquake model and potential implications for real seismicity

Cited by 25 publications

References 38 publications

Record-breaking avalanches in driven threshold systems

Record-breaking avalanches in driven threshold systems

Entropy in Natural Time and the Associated Complexity Measures

Recurrence time distribution and temporal clustering properties of a cellular automaton modelling landslide events

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