Three interactive demos of deterministic chaos: systems with no randomness at all that are nonetheless impossible to predict. From the period-doubling route into chaos and the Lyapunov exponent that measures it, to the real chaotic tumbling of Saturn's moon Hyperion. Rebuilt from my undergraduate computational-physics coursework.
One value splits into two, four, eight… Zoom the fractal tree and watch Feigenbaum's 4.669 emerge.
Open demo →Trace a single trajectory as a cobweb, and read the Lyapunov exponent that tells stability from chaos.
Open demo →Saturn's moon Hyperion has no fixed day. Map the Poincaré section of its chaotic spin.
Open demo →