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The human foot serves as the critical interface between the body and environment during locomotion. Existing musculoskeletal models typically oversimplify foot-ground contact mechanics, limiting their ability to accurately simulate human…

Robotics · Computer Science 2025-08-19 Haixin Gong , Chen Zhang , Yanan Sui

Most legged robots are built with leg structures from serially mounted links and actuators and are controlled through complex controllers and sensor feedback. In comparison, animals developed multi-segment legs, mechanical coupling between…

Robotics · Computer Science 2023-02-09 Abhishek Chatterjee , An Mo , Bernadett Kiss , Emre Cemal Gönen , Alexander Badri-Spröwitz

The biomechanics of the human body gives subjects a high degree of freedom in how they can execute movement. Nevertheless, subjects exhibit regularity in their movement patterns. One way to account for this regularity is to suppose that…

Quantitative Methods · Quantitative Biology 2018-12-11 Stuart Hagler

Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of…

Probability · Mathematics 2009-12-24 Federico Dalmao , Ernesto Mordecki

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

Even the simplest of animals exhibit behavioral sequences with complex temporal dynamics. Prominent amongst the proposed organizing principles for these dynamics has been the idea of a hierarchy, wherein the movements an animal makes can be…

Biological Physics · Physics 2017-02-08 Gordon J. Berman , William Bialek , Joshua W. Shaevitz

We introduce here three complementary models to analyze the role of predation pressure in avian coloniality. Different explanations have been proposed for the existence of colonial breeding behavior in birds, but field studies offer no…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea , J. L. Tella

A droplet bouncing on the surface of a vibrating liquid bath can move horizontally guided by the wave it produces on impacting the bath. The wave itself is modified by the environment, and thus the interactions of the moving droplet with…

Fluid Dynamics · Physics 2019-07-19 Rahil N. Valani , Anja C. Slim

We present a new walking foot-placement controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions…

Robotics · Computer Science 2018-11-12 Salman Faraji , Philippe Muellhaupt , Auke J. Ijspeert

This paper presents a framework for dynamic object catching using a quadruped robot's front legs while it stands on its rear legs. The system integrates computer vision, trajectory prediction, and leg control to enable the quadruped to…

Robotics · Computer Science 2024-10-11 André Schakkal , Guillaume Bellegarda , Auke Ijspeert

Our understanding of the neural basis of locomotor behavior can be informed by careful quantification of animal movement. Classical descriptions of legged locomotion have defined discrete locomotor gaits, characterized by distinct patterns…

Neurons and Cognition · Quantitative Biology 2022-03-02 Ana I. Gonçalves , Jacob A. Zavatone-Veth , Megan R. Carey , Damon A. Clark

We analyze a model for a walker moving on a ratchet potential. This model is motivated by the properties of transport of motor proteins, like kinesin and myosin. The walker consists of two feet represented as two particles coupled…

Statistical Mechanics · Physics 2009-11-11 Jose L. Mateos

Walking animals, like stick insects, cockroaches or ants, demonstrate a fascinating range of locomotive abilities and complex behaviors. The locomotive behaviors can consist of a variety of walking patterns along with adaptation that allow…

Neural and Evolutionary Computing · Computer Science 2016-08-08 Sakyasingha Dasgupta , Dennis Goldschmidt , Florentin Wörgötter , Poramate Manoonpong

Pivoting gait is efficient for manipulating a big and heavy object with relatively small manipulating force, in which a robot iteratively tilts the object, rotates it around the vertex, and then puts it down to the floor. However, pivoting…

Robotics · Computer Science 2021-06-08 Ang Zhang , Keisuke Koyama , Weiwei Wan , Kensuke Harada

We propose a non-equilibrium continuum dynamical model for the collective motion of large groups of biological organisms (e.g., flocks of birds, slime molds, etc.) Our model becomes highly non-trivial, and different from the equilibrium…

adap-org · Physics 2015-06-30 Yuhai Tu , John Toner

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

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous…

Adaptation and Self-Organizing Systems · Physics 2021-10-08 Emiliano Cristiani , Marta Menci , Marco Papi , Léonard Brafman

Tracking multiple moving targets allows quantitative measure of the dynamic behavior in systems as diverse as animal groups in biology, turbulence in fluid dynamics and crowd and traffic control. In three dimensions, tracking several…

The effect of rotational constraint on the properties of lattice models like the self-avoiding walk, lattice animals and percolation is discussed. The results obtained so far, using a variety of exact and approximate techniques, are…

Statistical Mechanics · Physics 2008-02-03 Indrani Bose

We consider a random walker whose motion is tethered around a focal point. We use two models that exhibit the same spatial dependence in the steady state but widely different dynamics. In one case, the walker is subject to a deterministic…

Statistical Mechanics · Physics 2019-01-11 Luca Giuggioli , Shamik Gupta , Matt Chase