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Qualitative Dynamics Export

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dynamics qualitative

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t. Motivated by this observation, the rst attempts to describe dynamical systems were to think of them as periodic. However, periodicity is almost never quite exact. What one tends to observe is recurrence. A recurrence of a point of a dynamical system is a return of that point to a neighborhood of where it started. How close the point must return is up to us: we can choose a volume of any size and shape as long as it encloses , and call it the neighborhood M 0 . For chaotic dynamical...


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