Coexistence and persistence of strange attractors. Lecture Notes in Mathematics; Vol. 1658 : Subseries: Instituto de Matematica Pura e Aplicada Rio de Janeiro, Brasil ; Vol. 49.

Pumariño, Antonio:

ISBN 10: 3540627316 / ISBN 13: 9783540627319

Published by Berlin, Springer, 1997

About this Item

VIII, 194 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05109 9783540627319 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2491356

Bibliographic Details

• Title: Coexistence and persistence of strange attractors. Lecture Notes in Mathematics; Vol. 1658 : Subseries: Instituto de Matematica Pura e Aplicada Rio de Janeiro, Brasil ; Vol. 49.
• Publisher: Berlin, Springer
• Publication Date: 1997
• Language: English
• ISBN 10: 3540627316
• ISBN 13: 9783540627319
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

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.