Related Experiment Video
Updated: May 24, 2026
08:13
SwarmSight: Real-time Tracking of Insect Antenna Movements and Proboscis Extension Reflex Using a Common Preparation and Conventional Hardware
Published on: December 25, 2017
Time-delayed autosynchronous swarm control
James D Biggs1, Derek J Bennet, S Kokou Dadzie
1Advanced Space Concepts Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow, United Kingdom. james.biggs@strath.ac.uk
Summary
This study explores self-propelling particle swarms using a Morse potential model with time delays. Results show swarm behavior, including stationary and rotating patterns, depends on time-delay parameters and spring potentials.
Area of Science:
- Physics
- Complex Systems
- Statistical Mechanics
Background:
- Self-propelling particle models are crucial for understanding collective behaviors in nature.
- Time-delayed interactions can significantly alter system dynamics.
- Morse potential models offer a realistic framework for inter-particle forces.
Purpose of the Study:
- To investigate emergent swarm behaviors in a Morse potential model with time-delayed interactions.
- To analyze the influence of time-delay parameters and spring potentials on swarm dynamics.
- To characterize different swarm states, including stationary, rotating, and vortex formations.
Main Methods:
- Development of a general Morse potential model for self-propelling particles.
- Inclusion of a time-delayed term and a spring potential in the model.
- Analysis of mean-field equations to derive analytical solutions.
- Numerical simulations to validate analytical findings and observe swarm behavior.
Main Results:
- Swarm behavior is tunable via time-delay parameters, enabling stationary or rotating swarms.
- Without a spring potential, center-of-mass motion is governed by a multivalued function.
- A non-zero spring potential leads to vortex formation around a stationary center of mass.
- Discrete bifurcations cause the center of mass to trace elliptical paths.
Conclusions:
- The time-delayed Morse potential model effectively captures diverse emergent swarm behaviors.
- Spring potentials are key to achieving stable vortex structures and stationary centers of mass.
- Analytical predictions of center-of-mass dynamics are consistent with numerical simulations.
Related Concept Videos
01:21Time and frequency -Domain Interpretation of Phase-lag Control
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
01:30Simplified 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...
In this model, each generator is connected to a...
01:22Phase-lead and Phase-lag Controllers
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
02:37Restarting Stalled Replication Forks
DNA replication is initiated at sites containing predefined DNA sequences known as origins of replication. DNA is unwound at these sites by the minichromosome maintenance (MCM) helicase and other factors such as Cdc45 and the associated GINS complex.The unwound single strands are protected by replication protein A (RPA) until DNA polymerase starts synthesizing DNA at the 5’ end of the strand in the same direction as the replication fork. To prevent the replication fork from falling apart, a...
02:37Restarting Stalled Replication Forks
DNA replication is initiated at sites containing predefined DNA sequences known as origins of replication. DNA is unwound at these sites by the minichromosome maintenance (MCM) helicase and other factors such as Cdc45 and the associated GINS complex.The unwound single strands are protected by replication protein A (RPA) until DNA polymerase starts synthesizing DNA at the 5’ end of the strand in the same direction as the replication fork. To prevent the replication fork from falling apart, a...
01:59Lagging Strand Synthesis
During replication, the complementary strands in double-stranded DNA are synthesized at different rates. Replication first begins on the leading strand. Replication starts later, occurs more slowly, and proceeds discontinuously on the lagging strand.
There are several major differences between synthesis of the leading strand and synthesis of the lagging strand. 1) Leading strand synthesis happens in the direction of replication fork opening, whereas lagging strand synthesis happens in the...
There are several major differences between synthesis of the leading strand and synthesis of the lagging strand. 1) Leading strand synthesis happens in the direction of replication fork opening, whereas lagging strand synthesis happens in the...