Movie gallery

Movies from various projects - some of them from research projects, some from work projects, and some just for fun. Click on the screenshots to view the movies.

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• Accumulated movement - Demo movies made for artist Mikael Lundberg's Telefonplan proposal. Mikael's proposal won the competition, although I am not quite sure if any part of the proposal has been implemented at Telefonplan yet.
  A fixed camera was used to record material for about six hours, and I wrote a program to accumulate the differences from one frame to the next, and creating a visual representation of the accumulated movement. Portions of the fixed view where there is a lot of activity (e.g. where many people walk) will accumulate a lot of movement, and in that way creating paths in the image.
  
  [5MB]
  This movie shows traces formed by movement in real time.
  
  
  [4.1MB]
  A time lapse movie of accumulated movement. The captured video fade out and the accumulated traces fade in. Contains approximately 6 hours worth of accumulated movement.
  
  
• Time lapse movies and a few notes on how they were made.
  I have also posted the time lapse movies on youtube, where they are quite popular. Together the tomato and tea time lapses have over 2 million video views there now (2011).
  
  
  [5.4MB]
  Time lapse movie of mould growing in a tea cup. The movie correspond to about 2 weeks of real time.
  
  
  
  [5.6MB]
  Time lapse movie of a tomato. The movie correspond to over 2 months of real time.
  
  
  
  [4.1MB]
  Time lapse movie of salt crystals forming on the rim of a container. A surprising amount of salt "climbs" the walls of the container up to the rim.
  
  
  
  [1.8MB]
  Time lapse movie of an christmas decorated orange.
  
  
  
• A Gray-Scott reaction-diffusion system. This system is an example of a mechanism for pattern formation (morphogenesis). A reaction diffusion applet (and some additional information on this model) is also available on this site. This system can generate a wide variety of patterns depending on parameter settings, and the movies below shows a few examples.
  

  [11MB]	[7.6MB]

  Forms labyrinth like patterns. The second movie show the same process, but at a different scale.
  
  

  [14MB]	[7.4MB]

  Pulses. The second movie show the same process, but at a different scale.
  
  

  [11MB]	[7.6MB]

  Self-replicating spots. The spots grow until they burst into two new spots in a way that is reminiscent of cellular division. The second movie show the same process, but at a different scale.
  
  

  [11MB]	[7.8MB]

  Spiral waves. The parameter settings that produce the spiral waves are very close to the ones that produce the self-replicating spots.
  
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  [16MB]
  In this movie the system parameters are not fixed, and instead a slow transition from one parameter setting to another is shown.
  
  
• Transitions from order to chaos in random oscillator networks when the coupling strength is increased. In these videos delay embedding was used to obtain visual representations of the dynamics. The two different animations show networks with different distributions of the intrinsic oscillator frequencies.
  
  [9.9MB]
  
  
  [11MB]
  
  
  
• Changes in the attractor of a size 30 random Lotka-Volterra map when the magnitude of the coupling matrix is increased (Note that this is not the same as increasing the coupling strength, since the average of the couplings is not zero). Delay embedding was used to obtain visual representations of the dynamics.
  
  [8.4MB]
  This model appear to have non-chaotic windows in much the same ways as the logistic map has. The end of the movie is very close to the boundary where the map starts diverging. Measured Lyapunov exponents are shown at the top of each frame.
  
  
• Changing basins of attraction for a system with a pendulum and two magnets.
  
  [2.5MB]
  The basins of attractions comes from a system consisting of a pendulum and two magnets. The pendulum is attracted by the magnets, and since the pendulum is damped it will slowly lose energy, slow down, and eventually come to rest by one of the magnets. Points that are colored red correspond to initial conditions where the pendulum comes to rest by the left magnet, while blue points correspond to initial conditions where the pendulum comes to rest by the right magnet. Increasing the strength of the magnets gives birth to new red and blue areas, whereas changing the damping changes the shape of the red/blue areas by stretching, shrinking and bending them. This system is an example of a chaotic system, and the typical sensitive dependence on initial conditions (AKA the butterfly effect) can be seen by the rapidly changing and complicated boundary (which is actually a fractal) between red and blue areas.
  A java simulation of the pendulum and two magnets is also available on this site.
  
  
  
• Animations of sequences of closely related Julia sets. In my opinion Julia sets corresponding to points near the border of the Mandelbrot set provides the most interesting patterns, so most of the videos either stay close to the border or approaches the border during the animation.
  
  [23MB]
  Vanilla z = z^2 + c Julia sets.
  
  
  [7.1MB]
  Vanilla z = z^2 + c Julia sets. Moves outward in a spiral in the c-plane.
  
  
  [4.0MB]
  Vanilla z = z^2 + c Julia sets. Moves outward in a spiral in the c-plane.
  
  
  [4.0MB]
  Vanilla z = z^2 + c Julia sets. Moves outward in a spiral in the c-plane.
  
  
  [42MB]
  Vanilla z = z^2 + c Julia sets. Moves outward in a spiral in the c-plane.
  
  
  [3.9MB]
  Vanilla z = z^2 + c Julia sets. Moves outward in a spiral in the c-plane.
  
  
  [16MB]
  Formula variant z = z^4 + c Julia sets.
  
  
  [4.4MB]
  Vanilla z = z^2 + c Julia sets. Moves in a semi-circle of radius 0.26 centered at c = -1.0 + 0.0i.
  
  

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