9887

Model of a Firefly Swarm

Using techniques of swarm modeling, it is possible to make a somewhat unrealistic model of firefly behavior.
Concretely, the following differential equations that describe the velocity change of firefly in a swarm of fireflies are solved in a discrete time-step approximation.
For a swarm of fireflies, the parameters and are the interaction strengths, and are the correlation lengths, α and β are the interaction power laws, is the air resistance, and the random variable ξi is interpreted as wind turbulence.
  • Contributed by: Michael Trott with permission of Springer
  • From: The Mathematica GuideBook for Programming, second edition by Michael Trott (© Springer, 2008).

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

H. Levine, W.-J. Rappel, and I. Cohen, "Self-Organization in Systems of Self-Propelled Particles," Physical Review E, 63, 017101 2000.

PERMANENT CITATION

Contributed by: Michael Trott with permission of Springer
From: The Mathematica GuideBook for Programming, second edition by Michael Trott (© Springer, 2008).
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+