Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
Frictional Forces on Flat Belts01:28

Frictional Forces on Flat Belts

Flat belts are commonly used in various industrial applications for transmitting power from one pulley to another. When a flat belt is wrapped around a set of pulleys, it experiences different tensions at the driving pulley ends due to the friction between the belt and pulley surface. When the pulley moves in a counterclockwise direction, the tension T2 on the opposite side of the pulley where the belt is moving away from is higher than the tension T1 on the side where the belt is moving...
Continuous Charge Distributions01:17

Continuous Charge Distributions

Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Simplified Synchronous Machine Model01:30

Simplified Synchronous Machine Model

The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Ethics of Digital Touch.

IEEE transactions on haptics·2025
Same author

Effectiveness of immersive VR therapy in reducing stress-associated symptoms in Ukraine.

European journal of psychotraumatology·2025
Same author

It Sounds Cool: Exploring Sonification of Mid-Air Haptic Textures Exploration on Texture Judgments, Body Perception, and Motor Behaviour.

IEEE transactions on haptics·2023
Same author

"I See Where This is Going": A Psychophysical Study of Directional Mid-Air Haptics and Apparent Tactile Motion.

IEEE transactions on haptics·2023
Same author

Using Virtual Objects With Hand-Tracking: The Effects of Visual Congruence and Mid-Air Haptics on Sense of Agency.

IEEE transactions on haptics·2023
Same author

Does It par-Tickle?: Investigating the Relationship Between Mid-Air Haptics and Visual Representations of Surface Textures.

IEEE transactions on haptics·2023
Same journal

Multiscale dynamics of special memristive ion channels in a neural circuit.

Chaos (Woodbury, N.Y.)·2026
Same journal

Symmetry-protected delay spectroscopy in oscillator networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Mesoscale community organization governs epidemic onset and spread in metapopulations.

Chaos (Woodbury, N.Y.)·2026
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: May 20, 2026

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
05:04

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

Published on: September 21, 2017

Quantifying intermittency in the open drivebelt billiard.

Carl P Dettmann1, Orestis Georgiou

  • 1School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom. Carl.Dettmann@bris.ac.uk

Chaos (Woodbury, N.Y.)
|July 5, 2012
PubMed
Summary
This summary is machine-generated.

This study explores chaotic dynamics in a novel "drivebelt" billiard, revealing unique intermittent properties and escape rates. Multiple unstable orbits lead to new effects, differing from traditional straight stadiums.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

Related Experiment Videos

Last Updated: May 20, 2026

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
05:04

Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task

Published on: September 21, 2017

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
08:18

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control

Published on: August 15, 2020

Area of Science:

  • Mathematical Physics
  • Dynamical Systems
  • Chaos Theory

Background:

  • Stadium billiards exhibit complex dynamics, including hyperbolicity and mixing.
  • Marginally unstable periodic orbits (MUPOs) are known to cause intermittency in dynamical systems.

Purpose of the Study:

  • To investigate the intermittent properties of chaotic trajectories in a drivebelt billiard.
  • To analyze the escape rates and survival probability of particles within this system.
  • To compare the drivebelt billiard's properties with the conventional straight stadium.

Main Methods:

  • Analysis of chaotic trajectories and escape dynamics.
  • Calculation of the leading order coefficient for survival probability P(t).
  • Examination of the role of marginally unstable periodic orbits (MUPOs).

Main Results:

  • The drivebelt billiard exhibits intermittency due to MUPOs, similar to straight stadiums.
  • The survival probability P(t) shows algebraic decay for fixed hole size and exponential decay in the natural scaling limit.
  • Multiple families of MUPOs in the drivebelt case lead to qualitatively new effects and oblique marginal periodic orbits.

Conclusions:

  • The drivebelt billiard presents unique chaotic behaviors and escape dynamics distinct from straight stadiums.
  • The presence of multiple MUPO families offers new avenues for research and potential applications.
  • Oblique marginal periodic orbits enable applications utilizing total internal reflection, such as in microlasers.