- Accumulated movement. Demo movies made for artist Mikael Lundberg's
Telefonplan proposal.
Mikael's proposal won the competition.

[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. - Transitions from order to chaos in random oscillator networks when the coupling strength is increased. 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]
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. Changing the strength of the magnets changes the number of red/blue areas, whereas changing the damping merely changes the shape of the red/blue areas. A java simulation of the system is also available.
- Animations of sequences of closely related Julia sets.

[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.
- A Gray-Scott reaction-diffusion system. This system is an example of a mechanism for pattern formation. A reaction diffusion applet (and some additional information on this model) is also available.
Forms labyrinth like patterns. The second movie show the same process, but at a different scale.

[11MB] [7.6MB]
Pulses. The second movie show the same process, but at a different scale.

[14MB] [7.4MB]
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] [7.6MB]
Spiral waves. Parameter settings are very close to the ones that produce the self-replicating spots.

[11MB] [7.8MB]



[16MB]
A slow transition from one parameter setting to another.
- Time lapse movies and a few notes on how they were made.



[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 orange.