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Coexistence and Persistence of Strange Attractors

Rodriguez, Angel J. / Pumarino, Antonio
Coexistence and Persistence of Strange Attractors
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. T...

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