# Chaotic transient

It seems very strange that quadratic maps pass from regular to chaotic
dynamics by infinitesimal change of *c* value. But
strange Cantor repeller results in chaotic transient
orbits (with positive Lyapunov exponent *L > 0*).
These orbits appear for *c* values corresponding to regular dynamics
windows. For large *n* these orbits go to attracting cycle. Chaotic
transient length depends strongly on starting point *x*_{o }.
*c = -1.5749* corresponds to the superstable period-*7* cycle.
Chaotic transient length grows for more narrow windows of regular dynamics.
Therefore for tiny windows (near any chaotic *c* value) one can
distinguish regular or chaotic dynamics only for very long iterations.

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*updated* 8 Nov 2006