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The differences in initial conditions do cause the trajectories to diverge, but in certain systems they don't just diverge, they also get pulled into the orbit
by Aqueous 14y ago
The differences in initial conditions do cause the trajectories to diverge, but in certain systems they don't just diverge, they also get pulled into the orbit of an attractor, such as the Lorenz attractor. So, the behavior overall, despite being seemingly chaotic, is actually predictable and ordered.
- MaysonL 14y agoAssumning there aren't multiple competing attractors.
- defen 14y agoTo what extent is that actually useful if I want to know the specific state of the system at some point in the future, though? Even if I know the attractor I still can't measure the current state accurately enough to simulate its future state.