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We present a new framework to generate human-like lower-limb trajectories in periodic and non-periodic walking conditions. In our method, walking dynamics is encoded in 3LP, a linear simplified model composed of three pendulums to model…

Robotics · Computer Science 2018-03-28 Salman Faraji , Auke Jan Ijspeert

Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems, but have not been fully explored in high-dimensional networks. Here we study large networks…

Disordered Systems and Neural Networks · Physics 2016-12-21 Célian Bimbard , Erwan Ledoux , Srdjan Ostojic

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

Statistical Mechanics · Physics 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

In this paper we study the number of returns to the coordinate hyperplanes for multidimensional nearest-neighbour random walks. While one-dimensional results on returns are classical, much less is known in higher dimensions. We analyse the…

Probability · Mathematics 2025-12-24 Rodolphe Garbit , Kilian Raschel

A common yet potentially dangerous task is the act of crossing the street. Pedestrian accidents contribute a significant amount to the high number of annual traffic casualties, which is why it is crucial for pedestrians to use safety…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Eric Liang , Mark Stamp

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

Many models account for the traffic flow of road users but few take the details of local interactions into consideration and how they could deteriorate into safety-critical situations. Building on the concept of sensorimotor control, we…

Machine Learning · Computer Science 2021-10-22 Yi-Shin Lin , Aravinda Ramakrishnan Srinivasan , Matteo Leonetti , Jac Billington , Gustav Markkula

The increasing number of mass events involving large crowds calls for a better understanding of the dynamics of dense crowds. Inquiring into the possibility of a mechanical description of these dynamics, we experimentally study the crossing…

The simulation of pedestrian crowd that reflects reality is a major challenge for researches. Several crowd simulation models have been proposed such as cellular automata model, agent-based model, fluid dynamic model, etc. It is important…

Multiagent Systems · Computer Science 2017-08-15 Wonho Kang , Youngnam Han

Digital twins (DTs) for urban transportation systems have gained increasing attention; however, their systematic evaluation in safety-critical scenarios remains limited. This paper presents a multi-pedestrian safety warning system at urban…

Machine Learning · Computer Science 2026-05-20 Yongjie Fu , Qi Gao , Mahshid Ghasemi Dehkordi , Gil Zussman , Xuan Di

In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells. We first show that one excitable and one oscillatory cell…

Dynamical Systems · Mathematics 2019-06-05 Derek Orr , Bard Ermentrout

Humans, as both pedestrians and drivers, generally skillfully navigate traffic intersections. Despite the uncertainty, danger, and the non-verbal nature of communication commonly found in these interactions, there are surprisingly few…

Human-Computer Interaction · Computer Science 2019-04-09 Jack Terwilliger , Michael Glazer , Henri Schmidt , Josh Domeyer , Heishiro Toyoda , Bruce Mehler , Bryan Reimer , Lex Fridman

Equation-free methods make possible an analysis of the evolution of a few coarse-grained or macroscopic quantities for a detailed and realistic model with a large number of fine-grained or microscopic variables, even though no equations are…

Dynamical Systems · Mathematics 2014-02-04 Christian Marschler , Jan Sieber , Poul G. Hjorth , Jens Starke

Pedestrian tracking has long been considered an important problem, especially in security applications. Previously,many approaches have been proposed with various types of sensors. One popular method is Pedestrian Dead Reckoning(PDR) [1]…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Mahdi Elhousni , Xinming Huang

Pedestrians and vehicles often share the road in complex inner city traffic. This leads to interactions between the vehicle and pedestrians, with each affecting the other's motion. In order to create robust methods to reason about…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Daniela A. Ridel , Nachiket Deo , Denis Wolf , Mohan M. Trivedi

We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition $T_G$ of a purely dynamical nature. Above the glass transition the dynamics is not fully ergodic and…

Condensed Matter · Physics 2009-10-22 Gabriele Migliorini , Felix Ritort

Quadrupeds transition spontaneously to various gait patterns (e.g., walk, trot, pace, gallop) in response to the locomotion speed. The generation of these gait patterns has been the subject of debate for a long time. We propose a coupled…

Quantitative Methods · Quantitative Biology 2013-10-30 Atsushi Tero , Masakazu Akiyama , Dai Owaki , Takeshi Kano , Akio Ishiguro , Ryo Kobayashi

Theoretical studies of synchronization are usually based on models of coupled phase oscillators which, when isolated, have constant angular frequency. Stochastic discrete versions of these uniform oscillators have also appeared in the…

Data Analysis, Statistics and Probability · Physics 2012-01-30 Vladimir R. V. Assis , Mauro Copelli

Hybrid systems, such as bipedal walkers, are challenging to control because of discontinuities in their nonlinear dynamics. Little can be predicted about the systems' evolution without modeling the guard conditions that govern transitions…

Robotics · Computer Science 2019-03-04 Aleksandra Kalinowska , Thomas A. Berrueta , Adam Zoss , Todd Murphey

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos