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Reduced motor control is one of the most frequent features associated with aging and disease. Nonlinear and fractal analyses have proved to be useful in investigating human physiological alterations with age and disease. Similar findings…

Quantitative Methods · Quantitative Biology 2017-09-06 Luiz G. A. Alves , Peter B. Winter , Leonardo N. Ferreira , Renée M. Brielmann , Richard I. Morimoto , Luís A. N. Amaral

Directional-change Intrinsic Time analysis has long revealed scaling laws in market microstructure, but the origin of their stability remains elusive. This article presents evidence that Intrinsic Time can be modeled as a memoryless…

Statistical Finance · Quantitative Finance 2025-11-19 Thomas Houweling

Motile cells often explore natural environments characterized by a high degree of structural complexity. Moreover cell motility is also intrinsically noisy due to spontaneous random reorientation and speed fluctuations. This interplay of…

Many biological phenomena such as locomotion, circadian cycles, and breathing are rhythmic in nature and can be modeled as rhythmic dynamical systems. Dynamical systems modeling often involves neglecting certain characteristics of a…

Dynamical Systems · Mathematics 2016-01-20 M. Mert Ankaralı , Shahin Sefati , Manu S. Madhav , Andrew Long , Amy J. Bastian , Noah J. Cowan

The research on human activity recognition has provided novel solutions to many applications like healthcare, sports, and user profiling. Considering the complex nature of human activities, it is still challenging even after effective and…

Human-Computer Interaction · Computer Science 2023-07-11 Ranjit Kolkar , Geetha V

We study the dynamics of fronts when both inertial effects and external fluctuations are taken into account. Stochastic fluctuations are introduced as multiplicative noise arising from a control parameter of the system. Contrary to the…

Statistical Mechanics · Physics 2009-10-31 Jose M. Sancho , Angel Sanchez

The fractality of human gait, namely, the long-range correlation that characterizes scale-free fluctuations of gait descriptors, such as the stride intervals during steady-state walking, depends on the well-tuned organization of the…

Adaptation and Self-Organizing Systems · Physics 2021-09-07 Chunjiang Fu , Yasuyuki Suzuki , Pietro Morasso , Taishin Nomura

The nonlinear dynamics associated with sliding friction forms a broad interdisciplinary research field that involves complex dynamical processes and patterns covering a broad range of time and length scales. Progress in experimental…

Soft Condensed Matter · Physics 2016-06-02 N. Manini , O. M. Braun , E. Tosatti , R. Guerra , A. Vanossi

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

Nonlinear systems are capable of displaying complex behavior even if this is the result of a small number of interacting time scales. A widely studied case is when complex dynamics emerges out of a nonlinear system being forced by a simple…

Quantitative Methods · Quantitative Biology 2015-06-01 Leandro M. Alonso

Nonlinear dynamical systems, ranging from insect populations to lasers and chemical reactions, might exhibit sensitivity to small perturbations in their control parameters, resulting in uncertainties on the predictability of tunning…

Chaotic Dynamics · Physics 2014-03-10 E. S. Medeiros , I. L. Caldas , M. S. Baptista

Highly nonlinear behavior of a system of discrete sites on a lattice is observed when a specific feedback loop is introduced into models employing coupled map lattices, quantum cellular automata, or the real-valued analogues of the latter.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

Neural recordings are nonstationary time series, i.e. their properties typically change over time. Identifying specific changes, e.g. those induced by a learning task, can shed light on the underlying neural processes. However, such changes…

Quantitative Methods · Quantitative Biology 2013-01-28 Duncan A. J. Blythe , Frank C. Meinecke , Paul von Buenau , Klaus-Robert Mueller

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

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

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

This work presents a non-parametric spatio-temporal model for mapping human activity by mobile autonomous robots in a long-term context. Based on Variational Gaussian Process Regression, the model incorporates prior information of spatial…

Robotics · Computer Science 2022-07-12 Marvin Stuede , Moritz Schappler

The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of…

Chaotic Dynamics · Physics 2020-03-18 Darina Krylosova , Evgeny Seleznev , Nataliya Stankevich

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

Periodic human activities with implicit workflows are common in manufacturing, sports, and daily life. While short-term periodic activities -- characterized by simple structures and high-contrast patterns -- have been widely studied,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Fan Yang , Quanting Xie , Atsunori Moteki , Shoichi Masui , Shan Jiang , Kanji Uchino , Yonatan Bisk , Graham Neubig