Although chaotic behaviour had often been observed numerically
earlier, the first mathematical proof of the existence, with
positive probability (persistence) of strange attractors was given
by Benedicks and Carleson for the Henon family, at the beginning of
1990's. Later, Mora and Viana demonstrated that a strange attractor
is also persistent in generic one-parameter families of
diffeomorphims on a surface which unfolds homoclinic tangency. This
book is about the persistence of any number of strange attractors
in saddle-focus connections. The coexistence and persistence of any
number of strange attractors in a simple three-dimensional scenario
are proved, as well as the fact that infinitely many of them exist
simultaneously.
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