Dynamical system

English: A dynamical system is a discrete-time or continuous-time specification of a behavior of a complex entity expressed using differential equations or transition function, specifying for each state the entity to which states it can move.

Various

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  The logistic function at r ≈ 2.7, where iterates converge to a single point
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  The bifurcation diagram of the logistic function
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  The first few iterates at the point of vanishing derivative (x=0.5)

Vector field

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Attractor

See also Attractor

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  A fixed point attractor
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  A limit-cycle attractor
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  A strange attractor