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This Concept Map, created with IHMC CmapTools, has information related to: a7. Dependance on Initial Conditions, The trajectory divergence in the chaotic regime means that two neighboring values of x0 differing by only the minutest of magnitudes, such as the forth or fifth decimal point, can evolve to vastly different trajectories under the same value of the control parameter. Eventually there is no relationship at all between the two trajectories. ???? Long-term prediction is impossible, The trajectory divergence in the chaotic regime means that two neighboring values of x0 differing by only the minutest of magnitudes, such as the forth or fifth decimal point, can evolve to vastly different trajectories under the same value of the control parameter. Eventually there is no relationship at all between the two trajectories. ???? Short term predictions, however, can be reliable., The trajectory divergence in the chaotic regime means that two neighboring values of x0 differing by only the minutest of magnitudes, such as the forth or fifth decimal point, can evolve to vastly different trajectories under the same value of the control parameter. Eventually there is no relationship at all between the two trajectories. ???? This trait is called extremely sensitive dependence on initial conditions. This characteristic is sometimes seen as the fundamental cause of chaos., In chaotic systems, however, it is just the opposite. Evolving trajectories diverge. ???? The trajectory divergence in the chaotic regime means that two neighboring values of x0 differing by only the minutest of magnitudes, such as the forth or fifth decimal point, can evolve to vastly different trajectories under the same value of the control parameter. Eventually there is no relationship at all between the two trajectories.