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

Dynamic Equilibrium02:20

Dynamic Equilibrium

52.6K
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
52.6K
Euler Equations of Motion01:19

Euler Equations of Motion

298
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
298
Euler's Equations of Motion01:28

Euler's Equations of Motion

540
In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
540
Equation of Rotational Dynamics01:08

Equation of Rotational Dynamics

8.8K
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...
8.8K
Dynamics of Circular Motion01:30

Dynamics of Circular Motion

13.7K
An object undergoing circular motion, like a race car, is accelerating because it is changing the direction of its velocity. This centrally directed acceleration is called centripetal acceleration. This acceleration acts along the radius of the curved path (thus is also referred to as radial acceleration).
Any acceleration must be produced by some force. Therefore, any force or combination of forces can cause centripetal acceleration. A few examples include the tension in the rope on a...
13.7K
Kinematic Equations - II01:17

Kinematic Equations - II

9.8K
The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
9.8K

You might also read

Related Articles

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

Sort by
Same author

Large language models instantiate evolutionarily robust strategies of cooperation.

PNAS nexus·2026
Same author

Bivalent impact of social networks on overarming: Insights on the alignment between social and individual interests.

Science advances·2026
Same author

Evolutionary branching and consistency in group cooperation.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

On the optimal integration of intelligent agents into network systems to steer cooperation.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Social imitation dynamics of vaccination driven by vaccine effectiveness and beliefs.

PLoS computational biology·2025
Same author

Indirect reciprocity in the public goods game with collective reputations.

Journal of the Royal Society, Interface·2025
Same journal

Chronic limb loading results in remarkable load carriage economy in growing fowl.

Proceedings. Biological sciences·2026
Same journal

Motion-from-structure in face perception: expectations of natural face motion depend on face shape.

Proceedings. Biological sciences·2026
Same journal

Unification and generalization of models of zygote survival.

Proceedings. Biological sciences·2026
Same journal

Phenological type- and diameter-dependent effects of individual light availability and interannual climate variation on tree growth.

Proceedings. Biological sciences·2026
Same journal

Interaction range of common goods shapes Black Queen dynamics beyond the cheater-cooperator narrative.

Proceedings. Biological sciences·2026
Same journal

Stingray spine diversity reflects performance trade-offs linked to puncture and breakability.

Proceedings. Biological sciences·2026
See all related articles

Related Experiment Video

Updated: Aug 22, 2025

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.0K

Evolutionary Kuramoto dynamics.

Elizabeth A Tripp1, Feng Fu2,3, Scott D Pauls2

  • 1Department of Mathematics, Sacred Heart University, Fairfield, CT 06825, USA.

Proceedings. Biological Sciences
|November 9, 2022
PubMed
Summary
This summary is machine-generated.

Biological systems use time-keeping mechanisms, like the mammalian master-clock. This study models coupled oscillators to understand the evolution of synchronization, finding that high synchronization occurs when benefits outweigh costs.

Keywords:
evolutionary game theoryoscillatory dynamicssynchronization

More Related Videos

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.6K
Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.2K

Related Experiment Videos

Last Updated: Aug 22, 2025

Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

Following the Dynamics of Structural Variants in Experimentally Evolved Populations

Published on: February 3, 2023

1.0K
Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.6K
Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

2.2K

Area of Science:

  • Evolutionary Biology
  • Theoretical Biology
  • Computational Neuroscience

Background:

  • Biological systems exhibit diverse time-keeping mechanisms, from cellular molecular clocks to organism-wide master clocks like the suprachiasmatic nucleus in mammals.
  • The widespread presence of biological timing systems suggests significant evolutionary advantages, yet the evolutionary development of these systems remains poorly understood.

Purpose of the Study:

  • To introduce and analyze a novel evolutionary game theoretic framework for modeling the behavior and evolution of coupled oscillator systems.
  • To investigate the evolutionary dynamics of oscillator systems based on their phase and communication strategies.

Main Methods:

  • Development of an evolutionary game theoretic model for coupled oscillators, each with a phase and a communication strategy.
  • Analysis of evolutionary success by balancing the benefits of synchronization against the costs of inter-oscillator connections.
  • Simulation of system dynamics under varying conditions to observe emergent game-like behaviors (e.g., Prisoner's Dilemma, coordination games).

Main Results:

  • The model demonstrates complex behaviors analogous to classical game theory scenarios, influenced by the changing dynamics of the oscillator landscape.
  • A key finding reveals a simple condition for achieving complete synchronization: when the benefit of synchronization exceeds twice the cost of connections.
  • The study identifies a direct relationship between connectivity, communication strategies, and the degree of phase synchronization in evolving oscillator systems.

Conclusions:

  • The evolutionary game theoretic framework provides valuable insights into the development of synchronization in biological timing systems.
  • Optimal synchronization is achievable under specific benefit-cost ratios, highlighting the interplay between cooperation and resource investment.
  • The findings suggest that robust communication and connectivity are crucial for the evolution of synchronized biological timing mechanisms.