Coexistence and persistence of strange attractors
Author(s)
Bibliographic Information
Coexistence and persistence of strange attractors
（Lecture notes in mathematics, 1658 . Instituto de matemática Pura e Aplicada,
Springer, c1997
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1658RM970608
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Note
Includes bibliography (p. [193]-194) and index
Description and Table of Contents
Description
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.
Table of Contents
Saddle-focus connections.- The unimodal family.- Contractive directions.- Critical points of the bidimensional map.- The inductive process.- The binding point.- The binding period.- The exclusion of parameters.
by "Nielsen BookData"
