Coexistence and Persistence of Strange Attractors (Paperback, 1997 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1658
Release date:	2001
First published:	1997
Authors:	Antonio Pumarino • Angel J. Rodriguez
Dimensions:	235 x 155 x 11mm (L x W x T)
Format:	Paperback
Pages:	194
Edition:	1997 ed.
ISBN-13:	978-3-540-62731-9
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
LSN:	3-540-62731-6
Barcode:	9783540627319

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