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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Coexistence and Persistence of Strange Attractors

Coexistence and Persistence of Strange Attractors

Pumarino, Antonio
Rodriguez, Angel J.

Paperback

Series: Lecture Notes in Mathematics, Book 1658

Sports GeneralGeneral Mathematics

ISBN10: 3540627316
ISBN13: 9783540627319
Publisher: Springer Nature
Published: May 23 1997
Pages: 194
Weight: 0.67
Height: 0.45 Width: 6.14 Depth: 9.21
Language: English
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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