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We consider the Czir\'ok model for collective motion of locusts along a one-dimensional torus. In the model, each agent's velocity locally interacts with other agents' velocities in the system, and there is also exogenous randomness to each…

Analysis of PDEs · Mathematics 2018-03-12 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

Construction workers exert intense physical effort and experience serious safety and health risks in hazardous working environments. Quiet stance and kneeling are among the most common postures performed by construction workers during their…

Robotics · Computer Science 2025-02-12 Gayatri Sreenivasan , Chunchu Zhu , Jingang Yi

We propose fractional Fokker-Planck equation for the kinetic description of relaxation and superdiffusion processes in constant magnetic and random electric fields. We assume that the random electric field acting on a test charged particle…

Plasma Physics · Physics 2009-11-07 A. Chechkin , V. Gonchar , M. Szydlowski

Several classes of physical systems exhibit ultraslow diffusion for which the mean squared displacement at long times grows as a power of the logarithm of time ("strong anomaly") and share the interesting property that the probability…

Statistical Mechanics · Physics 2009-11-10 A. V. Chechkin , J. Klafter , I. M. Sokolov

Poor sitting habits have been identified as a risk factor to musculoskeletal disorders and lower back pain especially on the elderly, disabled people, and office workers. In the current computerized world, even while involved in leisure or…

Machine Learning · Computer Science 2022-01-11 Tariku Adane Gelaw , Misgina Tsighe Hagos

This paper focuses on the analysis of human gait cycle dynamics and presents a mathematical model to determine the torque exerted on the lower limb joints throughout the complete gait cycle, including its various phases. The study involved…

Robotics · Computer Science 2023-10-17 Barath Kumar JK , Aswadh Khumar G S

The sit-to-stand movement is a key feature for wide adoption of powered lower limb orthoses for patients with complete paraplegia. In this paper we study the control of the ascending phase of the sit-to-stand movement for a minimally…

Systems and Control · Computer Science 2020-11-26 Octavio Narvaez-Aroche , Pierre-Jean Meyer , Stephen Tu , Andrew Packard , Murat Arcak

Cohort studies are increasingly using accelerometers for physical activity and sedentary behavior estimation. These devices tend to be less error-prone than self-report, can capture activity throughout the day, and are economical. However,…

A key aspect of developing fall prevention systems is the early prediction of a fall before it occurs. This paper presents a statistical overview of results obtained by analyzing 22 activities of daily living to recognize physiological…

Panel data often contain stayers (units with no within-variations) and slow movers (units with little within-variations). In the presence of many slow movers, conventional econometric methods can fail to work. We propose a novel method of…

Econometrics · Economics 2026-01-14 Yuya Sasaki , Takuya Ura

In this work, asymptotically stable state estimation schemes are proposed for rigid body motion, using the framework of geometric mechanics. Rigorous stability analyses of the estimation schemes presented here guarantee the nonlinear…

Optimization and Control · Mathematics 2015-10-20 Maziar Izadi

We theoretically investigate the effect of random fluctuations on the motion of elongated microswimmers near hydrodynamic transport barriers in externally-driven fluid flows. Focusing on the two-dimensional hyperbolic flow, we consider the…

Fluid Dynamics · Physics 2022-02-03 Simon A. Berman , Kevin A. Mitchell

Accurate detection of locomotion transitions, such as walk to sit, walk to stair ascent, and descent, is crucial to effectively control robotic assistive devices, such as lower-limb exoskeletons, as each locomotion mode requires specific…

We study a class of stochastic processes of the type $\frac{d^n x}{dt^n}= v_0\, \sigma(t)$ where $n>0$ is a positive integer and $\sigma(t)=\pm 1$ represents an `active' telegraphic noise that flips from one state to the other with a…

Statistical Mechanics · Physics 2021-01-27 David S. Dean , Satya N. Majumdar , Hendrik Schawe

This study investigates the effects of anthropometric attributes, biological sex, and posture on translational body kinematic responses in translational vibrations. In total, 35 participants were recruited. Perturbations were applied on a…

Machine Learning · Statistics 2023-06-22 M. M. Cvetković , R. Desai , K. N. de Winkel , G. Papaioannou , R. Happee

The pedestrian gait features - body sway frequency, amplitude, stride length, and speed, along with pedestrian personal space and directional bias, are important parameters to be used in different pedestrian dynamics studies. Gait feature…

Physics and Society · Physics 2025-04-03 Kanika Jain , Abhishek Gupta , Indranil Saha Dalal , Anurag Tripathi , Shankar Prawesh

Gait phase-based control is a trending research topic for walking-aid robots, especially robotic lower-limb prostheses. Gait phase estimation is a challenge for gait phase-based control. Previous researches used the integration or the…

Robotics · Computer Science 2022-08-02 Xinxing Chen , Chuheng Chen , Yuxuan Wang , Bowen Yang , Teng Ma , Yuquan Leng , Chenglong Fu

I consider several Langevin and Fokker-Planck classes of dynamics for scalar field theories in contact with a thermal bath at temperature T. These models have been applied recently in the numerical description of the dynamics of second…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luis M. A. Bettencourt

Phase transitions and effects of external noise on many body systems are one of the main topics in physics. In mean field coupled nonlinear dynamical stochastic systems driven by Brownian noise, various types of phase transitions including…

Statistical Mechanics · Physics 2015-05-13 Akihisa Ichiki , Masatoshi Shiino

We study numerically stick slip motions in a model of blocks and springs being pulled slowly. The sliding friction is assumed to change dynamically with a state variable. The transition from steady sliding to stick-slip is subcritical in a…

Chaotic Dynamics · Physics 2009-11-07 Hidetsugu Sakaguchi