## The Dripping Faucet as a Model Chaotic System |

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amount analog appear associated attractor average becomes behavior bits causal channel chaotic coarse communication complete compute conditional connection considering constructed continuous coordinate corresponding curve defined described determinism deterministic difference dimension dimensionality discrete discussed distance distribution P(x drop interval dynamics effect element entropy example expect experiment experimental fact falls faucet figure finite flow rate fluid function future given higher idea illustrated increase independent indicated information stored initial invariant iteration knowledge length less limit loss matrix measurement motion msec noise observed obtained occur one-dimensional particular partition past periodic physical plot position possible predictability present probability problem produced properties purely quantity question random remains representing resolution resulting scale sense simple single slope space stochastic stored information stream string structure symbol takes theory tion transition true variables varying yield