Title: Coexistence and Persistence of Strange Attractors (Lecture Notes in Mathematics, 1658)
Publisher: Springer
Publication Date: 1997
Language: English
ISBN 10: 3540627316
ISBN 13: 9783540627319
Binding: Soft cover
Condition: New

About this title

Synopsis

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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