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Accurate estimation of the human circadian phase plays an important role in personalized health monitoring, but most existing wearable-based approaches operate retrospectively and require full circadian cycle recordings, leading to high…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Mengzhu Xu , Nemanja Cabrilo , Merel van Gilst , Jean-Paul Linnartz

Many records in environmental sciences exhibit asymmetric trajectories and there is a need for simple and tractable models which can reproduce such features. In this paper we explore an approach based on applying both a time change and a…

Methodology · Statistics 2015-10-09 Pierre Ailliot , Bernard Delyon , Valérie Monbet , Marc Prevosto

Background: It has been difficult to demonstrate circadian rhythm in the two parameters of heart rate turbulence, turbulence onset (TO) and turbulence slope (TS). Objective: To devise a new method for detecting circadian rhythm in noisy…

The oscillations observed in many time series, particularly in biomedicine, exhibit morphological variations over time. These morphological variations are caused by intrinsic or extrinsic changes to the state of the generating system,…

Applications · Statistics 2021-03-30 Yu-Ting Lin , John Malik , Hau-Tieng Wu

Skeleton-based gait recognizers excel at modeling spatial configurations but often underuse explicit motion dynamics that are crucial under appearance changes. We introduce a plug-and-play Wavelet Feature Stream that augments any skeleton…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Seoyeon Ko , Yeojin Song , Egene Chung , Luca Quagliato , Taeyong Lee , Junhyug Noh

We report an experimental investigation of the statistical time dynamic of spatial Fourier modes in a fully developped turbulent jet flow. Measurements rely on an original acoustic scattering technique, allowing the direct and continuous…

Statistical Mechanics · Physics 2009-11-11 C. Poulain , N. Mazellier , Y. Gagne , C. Baudet

The cosinor model is frequently used to represent the oscillatory behavior of different genes over time. When data are collected from multiple individuals, the cosinor model is estimated with recorded gene expression levels and the 24 hour…

Applications · Statistics 2024-07-18 Michael T. Gorczyca

This paper presents a novel approach to understanding the role of harmonic dynamics and gaining a deeper appreciation for its impact within and outside of quantum mechanics. This includes consequences of harmonic dynamics and the…

Quantum Physics · Physics 2021-11-22 Donald J. Kouri , Caleb Broodo , Bernhard G. Bodmann , Cameron L. Williams

The oscillations of the human heart rate are inherently complex and non-linear -- they are best described by mathematical chaos, and they present a challenge when applied to the practical domain of cardiovascular health monitoring in…

Machine Learning · Computer Science 2025-11-03 Berken Utku Demirel , Christian Holz

Understanding the real-time evolution of many-electron quantum systems is essential for studying dynamical properties in condensed matter, quantum chemistry, and complex materials, yet it poses a significant theoretical and computational…

Strongly Correlated Electrons · Physics 2024-11-07 Jannes Nys , Gabriel Pescia , Alessandro Sinibaldi , Giuseppe Carleo

Interactions in nature can be described by their coupling strength, direction of coupling and coupling function. The coupling strength and directionality are relatively well understood and studied, at least for two interacting systems,…

Adaptation and Self-Organizing Systems · Physics 2017-02-09 Tomislav Stankovski

Recent advancements in ultrashort and intense X-ray sources have enabled the utilisation of resonant inelastic X-ray scattering (RIXS) as a probing technique for monitoring photoinduced dynamics in molecular systems. To account for dynamic…

Chemical Physics · Physics 2024-03-19 Antonia Freibert , David Mendive-Tapia , Oriol Vendrell , Nils Huse

The dynamics of time-dependent coupled oscillator model for the charged particle motion subjected to a time-dependent external magnetic field is investigated. We used canonical transformation approach for the classical treatment of the…

Quantum Physics · Physics 2015-05-20 Salah Menouar , Mustapha Maamache , Jeong Ryeol Choi

Compared with time independent Hamiltonians, the dynamics of generic quantum Hamiltonians $H(t)$ are complicated by the presence of time ordering in the evolution operator. In the context of digital quantum simulation, this difficulty…

Quantum Physics · Physics 2024-04-08 Jacob Watkins , Nathan Wiebe , Alessandro Roggero , Dean Lee

The circadian clocks keeping time of day in many living organisms rely on self-sustained biochemical oscillations which can be entrained by external cues, such as light, to the 24-hour cycle induced by Earth rotation. However, environmental…

Quantitative Methods · Quantitative Biology 2015-05-20 Benjamin Pfeuty , Quentin Thommen , Marc Lefranc

A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a…

Statistics Theory · Mathematics 2016-04-27 Ingrid Daubechies , Yi Wang , Hau-tieng Wu

Circadian rhythm is the natural biological cycle manifested in human daily routines. A regular and stable rhythm is found to be correlated with good physical and mental health. With the wide adoption of mobile and wearable technology, many…

Human-Computer Interaction · Computer Science 2021-07-12 Congyu Wu , Megan McMahon , Hagen Fritz , David M. Schnyer

Gene expression levels, hormone secretion, and internal body temperature each oscillate over an approximately 24-hour cycle, or display circadian rhythms. Many circadian biology studies have investigated how these rhythms vary across…

To estimate the time, many organisms, ranging from cyanobacteria to animals, employ a circadian clock which is based on a limit-cycle oscillator that can tick autonomously with a nearly 24h period. Yet, a limit-cycle oscillator is not…

Molecular Networks · Quantitative Biology 2018-08-22 Michele Monti , David K Lubensky , Pieter Rein ten Wolde

There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such networks arises from studies of the brain, the heart, ecology,…

Dynamical Systems · Mathematics 2023-08-22 Stephen Coombes , Mustafa Sayli , Rüdiger Thul , Rachel Nicks , Mason A Porter , Yi Ming Lai
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