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We study dynamics of the inverted pendulum on the wheel on a soft surface and under a proportional-integral-derivative controller. The behaviour of such pendulum is modelled by a system with a differential inclusion. If the the system has a…

Systems and Control · Electrical Eng. & Systems 2020-06-12 O. M. Kiselev

We study the static equilibrium of an elastic sphere held in a rigid groove by gravity and frictional contacts, as determined by contact mechanics. As a function of the opening angle of the groove and the tilt of the groove with respect to…

Condensed Matter · Physics 2009-10-31 Thomas C. Halsey , Deniz Ertas

Modeling each hit as a multivariate event in racket sports and conducting sequential analysis aids in assessing player/team performance and identifying successful tactics for coaches and analysts. However, the complex correlations among…

Databases · Computer Science 2023-07-27 Jiang Wu , Dongyu Liu , Ziyang Guo , Yingcai Wu

This paper investigates the relationship between the contact angle of a spherical bubble attached to a tube submerged in a container and the jet speed induced by an impulsive acceleration at its base. While it has been well established that…

Fluid Dynamics · Physics 2026-02-04 Hiroyuki Miyoshi , Hiroya Watanabe , Ishin Kikuchi , Yoshiyuki Tagawa

The mathematical model representing the equation of motion of a pendulum is nonlinear. Solutions that satisfy the equation cannot be represented by elementary functions, such as trigonometric functions. To solve such problems, it is common…

Classical Physics · Physics 2019-02-19 Kazunori Shinohara

The transition to turbulence in many shear flows proceeds along two competing routes, one linked with finite-amplitude disturbances and the other one originating from a linear instability, as in e.g. boundary layer flows. The dynamical…

Fluid Dynamics · Physics 2020-12-30 Miguel Beneitez , Yohann Duguet , Dan S. Henningson

This paper presents an alternative way to the dynamic modeling of a rotational inverted pendulum using the classic mechanics known as Euler-Lagrange allows to find motion equations that describe our model. It also has a design of the basic…

Chaotic Dynamics · Physics 2017-04-11 J. L. Duarte , B. Montero , P. A. Ospina-Henao , E. Gonzalez

The model of non-ballistic jet motion proposed in 2008 provides a simple explanation to the inward jet motion and bent jet. Recently, evidences of such a non-radial motion increase rapidly, and more complicated morphologies appear. On the…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Biping Gong , S. W. Kong , F. Xue , Yaping Li , Y. F. Huang

We describe an exponential Fermi accelerator in a two-dimensional billiard with a moving slit. We have found a mechanism of trapping regions which provides the exponential acceleration for almost all initial conditions with sufficiently…

Dynamical Systems · Mathematics 2020-04-22 Jing Zhou

This paper investigates the potential for stabilizing an inverted pendulum without electric devices, using gravitational potential energy. We propose a wheeled mechanism on a slope, specifically, a wheeled double pendulum, whose second…

Classical Physics · Physics 2015-09-17 Katsutoshi Yoshida , Munehisa Sekikawa , Kenta Hosomi

Saffman and Turner (1957) argued that the collision rate for droplets in turbulence increases as the turbulent strain rate increases. But the numerical simulations of Dhanasekaran et al. (2021) in a steady straining flow show that the…

Fluid Dynamics · Physics 2022-06-22 A. Dubey , K. Gustavsson , G. Bewley , B. Mehlig

The baseball game is often seen as many contests that are performed between individuals. The duel between the pitcher and the batter, for example, is considered the engine that drives the sport. The pitchers use a variety of strategies to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Nina Wiedemann , Carlos Dietrich , Claudio T. Silva

The present paper reports on wind tunnel tests and analyses carried out to investigate the effect of the static angle of attack on the aerodynamic stability of a twin-box bridge deck section. It is found that the critical wind speed for…

Fluid Dynamics · Physics 2024-10-24 Maja Rønne , Allan Larsen , Jens H. Walther , Søren V. Larsen

We demonstrate that a weak nonlinear magnetic entrance edge induces a tennis-racket (Dzhanibekov) instability in the shell-resolved orbital pseudospin dynamics of twisted electrons propagating in a nominally uniform solenoidal field.…

Quantum Physics · Physics 2026-04-08 S. S. Baturin

With the rapid development of electronic science and technology, the research on wearable devices is constantly updated, but for now, it is not comprehensive for wearable devices to recognize and analyze the movement of specific sports.…

Signal Processing · Electrical Eng. & Systems 2023-09-15 Zhuo-yong Shi , Ye-tao Jia , Ke-xin Zhang , Ding-han Wang , Long-meng Ji , Yong Wu

Developing table tennis robots that mirror human speed, accuracy, and ability to predict and respond to the full range of ball spins remains a significant challenge for legged robots. To demonstrate these capabilities we present a system to…

Robotics · Computer Science 2025-10-13 David Nguyen , Zulfiqar Zaidi , Kevin Karol , Jessica Hodgins , Zhaoming Xie

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

The framework of transition state theory (TST) provides a powerful way for analyzing the dynamics of physical and chemical reactions. While TST has already been successfully used to obtain reaction rates for systems with a single…

Chemical Physics · Physics 2021-02-26 Johannes Reiff , Matthias Feldmaier , Jörg Main , Rigoberto Hernandez

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

This paper presents an empirical investigation of the relation between decision speed and decision quality for a real-world setting of cognitively-demanding decisions in which the timing of decisions is endogenous: professional chess.…

General Economics · Economics 2022-01-27 Uwe Sunde , Dainis Zegners , Anthony Strittmatter