+612 9045 4394
 
CHECKOUT
Coexistence and Persistence of Strange Attractors : Studies in Economic Ethics and Philosophy - Antonio Pumarino

Coexistence and Persistence of Strange Attractors

Studies in Economic Ethics and Philosophy

Paperback Published: 23rd May 1997
ISBN: 9783540627319
Number Of Pages: 194

Share This Book:
Ships in 5 to 9 business days

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.

Introductionp. 1
Saddle-Focus Connectionsp. 11
The Unimodal Familyp. 21
Contractive Directionsp. 53
Critical Points of the Bidimensional Mapp. 73
The Inductive Processp. 89
The Binding Pointp. 119
The Binding Periodp. 135
The Exclusion of Parametersp. 153
Numerical experimentsp. 191
Bibliographyp. 193
Indexp. 195
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540627319
ISBN-10: 3540627316
Series: Studies in Economic Ethics and Philosophy
Audience: General
Format: Paperback
Language: English
Number Of Pages: 194
Published: 23rd May 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.14
Weight (kg): 0.3