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Chaos theory
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===Non-periodicity=== A chaotic system may have sequences of values for the evolving variable that exactly repeat themselves, giving periodic behavior starting from any point in that sequence. However, such periodic sequences are repelling rather than attracting, meaning that if the evolving variable is outside the sequence, however close, it will not enter the sequence and in fact, will diverge from it. Thus for [[almost all]] initial conditions, the variable evolves chaotically with non-periodic behavior.
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