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Human heart rate is known to display complex fluctuations. Evidence of multifractality in heart rate fluctuations in healthy state has been reported [Ivanov et al., Nature {\bf 399}, 461 (1999)]. This multifractal character could be…

Chaotic Dynamics · Physics 2009-11-13 Emily S. C. Ching , Yue-Kin Tsang

Evidence of discrete scale invariance (DSI) in daytime healthy heart rate variability (HRV) is presented based on the log-periodic power law scaling of the heart beat interval increment. Our analysis suggests multiple DSI groups and a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Der Chyan Lin

We introduce a segmentation algorithm to probe temporal organization of heterogeneities in human heartbeat interval time series. We find that the lengths of segments with different local values of heart rates follow a power-law…

We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such…

Biological Physics · Physics 2016-09-08 Malvin C. Teich , Steven B. Lowen , Bradley M. Jost , Karin Vibe-Rheymer , Conor Heneghan

We study the Heart Rate Variability (HRV) using scale specific variance and scaling exponents as measures of healthy and cardiac impaired individuals. Our results show that the variance and the scaling exponent are uncorrelated. We find…

Human heart rate fluctuates in a complex and non-stationary manner. Elaborating efficient and adequate tools for the analysis of such signals has been a great challenge for the researchers during last decades. Here, an overview of the main…

Medical Physics · Physics 2007-05-23 J. Kalda , M. Sakki , M. Vainu , M. Laan

We analyze heartbeat interval recordings from two independent databases: (a) 19 healthy young (avg. age 25.7 years) and 16 healthy elderly subjects (avg. age 73.8 years) during 2h under resting conditions from the Fantasia database; and (b)…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Daniel T. Schmitt , Plamen Ch. Ivanov

The probability density function (PDF) for critical wavefunction amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of…

Disordered Systems and Neural Networks · Physics 2009-03-13 Alberto Rodriguez , Louella J. Vasquez , Rudolf A. Roemer

The view that the probability density function (PDF) of a key statistical variable, anomalously scaled by size or time, could furnish a hallmark of universal behavior contrasts with the circumstance that such density sensibly depends on…

Statistical Mechanics · Physics 2025-04-01 Gianluca Teza , Attilio L. Stella

Atmospheric wind speeds and their fluctuations at different locations (onshore and offshore) are examined. One of the most striking features is the marked intermittency of probability density functions (PDF) of velocity differences -- no…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 F. Böttcher , St. Barth , J. Peinke

Recent evidence suggests that physiological signals under healthy conditions may have a fractal temporal structure. We investigate the possibility that time series generated by certain physiological control systems may be members of a…

The notion of scale-invariant dynamics is well established at late times in quantum chaotic systems, as illustrated by the emergence of a ramp in the spectral form factor (SFF). Building on the results of the preceding Letter [Phys. Rev.…

Statistical Mechanics · Physics 2024-01-03 Miroslav Hopjan , Lev Vidmar

Scale-free behavior as well as oscillations are frequently observed in the activity of many natural systems. One important example is the cortical tissues of mammalian brain where both phenomena are simultaneously observed. Rhythmic…

Disordered Systems and Neural Networks · Physics 2018-08-29 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

Recent observation for scale invariant neural avalanches in the brain have been discussed in details in the scientific literature. We point out, that these results do not necessarily imply that the properties of the underlying neural…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudius Gros , Dimitrije Markovic

The phenomenology of velocity statistics in turbulent flows, up to now, relates to different models dealing with either signed or unsigned longitudinal velocity increments, with either inertial or dissipative fluctuations. In this paper, we…

Statistical Mechanics · Physics 2007-05-23 L. Chevillard , B. Castaing , E. Leveque , A. Arneodo

It is shown that the heart rate variability (HRV) in healthy and diseased humans possesses a hierarchical structure of the She-Leveque (SL) form. This structure, first found in measurements in turbulent fluid flows, implies further details…

Chaotic Dynamics · Physics 2009-11-10 Emily S. C. Ching , D. C. Lin , C. Zhang

In this paper, we study the statistical evolution of the large-scale structure (LSS), focusing on the joint probability distribution function (PDF) of the coarse-grained cosmic field and its role in constructing effective dynamics. As the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Xin Wang

We consider continuous space-time decay-surge population models which are semi- stochastic processes for which deterministically declining populations, bound to fade away, are rein- vigorated at random times by bursts or surges of random…

Probability · Mathematics 2021-11-09 Branda Goncalves , Thierry Huillet , Eva Löcherbach

Persistence is defined as the probability that the local value of a fluctuating field remains at a particular state for a certain amount of time, before being switched to another state. The concept of persistence has been found to have many…

Fluid Dynamics · Physics 2020-07-30 Subharthi Chowdhuri , Tamás Kalmár-Nagy , Tirtha Banerjee

The notions of self-organised criticality (SOC) and turbulence are traditionally considered to be applicable to disjoint classes of phenomena. Nevertheless, scale-free burst statistics is a feature shared by turbulent as well as…

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