Curvature of the Mind

Tag: chaos

  • Disintegration

    Disintegration

    The tighter you hold on, the more things fly apart. Related Images:

  • Chaos #1

    Chaos #1

    I’m starting a new series based on chaotic dynamical systems. Related Images:

  • Islands of stability

    Islands of stability

    This time I mapped the pendulum angle and time onto the surface of a cone to create a tunnel effect. For the parameter space I’m looking at, you can really see how the paths will converge for a while and then suddenly diverge wildly. Related Images:

  • Sensitive dependence on initial conditions

    Sensitive dependence on initial conditions

    This next demo highlights the butterfly effect. These curves show the same pendulum as before, this version has the time axis wrapped around the center of the screen and the exponential of the angle as the radius. All the pendulums start at a very similar initial position and for some driving functions they diverge wildly…

  • Now we’re getting somewhere

    Now we’re getting somewhere

    Ok, I’ve made a few tweaks. Removed a close path call that was adding an extra random line. I’ve played around with the 3d projection and I’ve tweaked the color scheme, line width and alpha settings. Lorenz attractor Related Images: