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Related papers: Brain activity vs. seismicity: Scaling and memory

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The concept of universality proposes that dynamical systems with the same power law behaviors are equivalent at large scales. We test this hypothesis on the Earth's crust and the epileptic brain, and discover that power laws also govern the…

Biological Physics · Physics 2007-12-27 Ivan Osorio , Mark G. Frei , Didier Sornette , John Milton , Ying-Cheng Lai

The field of study of complex systems holds that the dynamics of complex systems are founded on universal principles that may used to describe a great variety of scientific and technological approaches of different types of natural,…

The concept of memory is of central importance for characterizing complex systems and phenomena. Presence of long-term memories indicates how their dynamics can be less sensitive to initial conditions compared to the chaotic cases. On the…

Geophysics · Physics 2023-07-11 Sumiyoshi Abe , Norikazu Suzuki

The field of study of complex systems considers that the dynamics of complex systems are founded on universal principles that may be used to describe a great variety of scientific and technological approaches of different types of natural,…

Power-law type distributions are extensively found when studying the behaviour of many complex systems. However, due to limitations in data acquisition, empirical datasets often only cover a narrow range of observation, making it difficult…

Data Analysis, Statistics and Probability · Physics 2019-12-11 Víctor Navas-Portella , Álvaro González , Isabel Serra , Eduard Vives , Álvaro Corral

Statistical similarities between earthquakes and other systems that emit cracking noises have been explored in diverse contexts, ranging from materials science to financial and social systems. Such analogies give promise of a unified and…

Geophysics · Physics 2016-06-27 Leandro S. Costa , Ervin K. Lenzi , Renio S. Mendes , Haroldo V. Ribeiro

The statistics of earthquakes in a heterogeneous fault zone is studied analytically and numerically in the mean field version of a model for a segmented fault system in a three-dimensional elastic solid. The studies focus on the interplay…

Disordered Systems and Neural Networks · Physics 2009-10-31 Karin Dahmen , Deniz Ertas , Yehuda Ben-Zion

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

Neurons and Cognition · Quantitative Biology 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

Physics and Society · Physics 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

We analyze regional earthquake energy statistics from the Southern California and Japan seismic catalogs and find scale-invariant energy distributions characterized by an exponent $\tau \simeq 1.67$. To quantify how closely scale-invariant…

Statistical Mechanics · Physics 2025-12-22 K. Duplat , G. Varas , O. Ramos

It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. We study the Acoustic…

Background: Investigation of the functioning of the brain in living systems has been a major effort amongst scientists and medical practitioners. Amongst the various disorder of the brain, epilepsy has drawn the most attention because this…

Medical Physics · Physics 2009-08-03 Md. Nurujjaman , Ramesh Naryanan , A. N. Sekar Iyengar

Nonlinear time series analyses have suggested that the human electroencephalogram (EEG) may share statistical and dynamical properties with chaotic systems. During slow-wave sleep or pathological states like epilepsy, correlation dimension…

Chaotic Dynamics · Physics 2009-04-28 Sami El Boustani , Alain Destexhe

Many studies have analyzed working memory (WM) from electroencephalogram (EEG). However, little is known about changes in the brain neurodynamics among resting-state (RS) according to the WM process. Here, we identified frequency-specific…

Neurons and Cognition · Quantitative Biology 2022-12-13 Gi-Hwan Shin , Young-Seok Kweon , Heon-Gyu Kwak

A new non-parametric statistic is introduced for the characterization of deviations from power laws. It is tested on the distribution of seismic energies given by the Gutenberg-Richter law. Based on the two first statistical log-moments, it…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. Pisarenko , D. Sornette , M. Rodkin

Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record…

Geophysics · Physics 2015-06-26 Joern Davidsen , Peter Grassberger , Maya Paczuski

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic cultures. Here we present a model based on self-organized criticality and taking into account brain plasticity, which is able to reproduce…

Neurons and Cognition · Quantitative Biology 2009-11-13 Lucilla de Arcangelis , Carla Perrone-Capano , Hans J. Herrmann

The Gutenberg-Richter power law distribution of earthquake sizes is one of the most famous example illustrating self-similarity. It is well-known that the Gutenberg-Richter distribution has to be modified for large seismic moments, due to…

Statistical Mechanics · Physics 2022-12-07 D. Sornette , A. Sornette

The underlying dynamics for the electroencephalographic (EEG) recordings from humans but especially epilepsy patients are usually not completely known. However, the ictal activity is claimed to be characterized by synchronous oscillations…

Biological Physics · Physics 2010-08-09 Caglar Tuncay

The field of study of complex systems considers that the dynamics of complex systems are founded on universal principles that may be used to describe a great variety of scientific and technological approaches of different types of natural,…

Geophysics · Physics 2014-01-30 Stelios M. Potirakis , Pavlos I. Zitis , Konstantinos Eftaxias
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