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Coexistence and Persistence of Strange Attractors

By: Antonio Pumarino,Angel J. Rodriguez

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Coexistence and Persistence of Strange Attractors

By: Antonio Pumarino,Angel J. Rodriguez

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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Page Count

203

Publisher

Springer

Published Date

ISBN 10

3540684964

ISBN 13

9783540684961

Coexistence and Persistence of Strange Attractors

By: Antonio Pumarino,Angel J. Rodriguez

Write a review Read reviews Take a Quiz Solve Book Puzzle

Coexistence and Persistence of Strange Attractors

By: Antonio Pumarino,Angel J. Rodriguez

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Write a review

Solve jigsaw puzzle

Age

Page Count

203

Publisher

Springer

Published Date

ISBN 10

3540684964

ISBN 13

9783540684961

Book's by Antonio Pumarino

Coexistence and Persistence of Strange Attractors

Coexistence and Persistence of Strange Attractors

Coexistence and Persistence of Strange Attractors

Coexistence and Persistence of Strange Attractors

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