Strange Nonchaotic Attractors: Dynamics Between Order And Chaos in Quasiperiodically Forced Systems (Nonlinear Science)

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Название:Strange Nonchaotic Attractors: Dynamics Between Order And Chaos in Quasiperiodically Forced Systems (Nonlinear Science)

Автор: Ulrike Feudel, Sergey Kuznetsov, Arkady Pikovsky

Издательство: World Scientific Publishing Company

ISBN: 9812566333

Дата издания:2006-04-26

Страниц: 228

Язык:Английский

Формат:djvu

Размер:2.00 MB

From Preface:

This book is devoted to strange nonchaotic attractors - dynamical states that appear in quasiperiodically forced systems and lie in between chaos and order. They have been discovered in a seminal paper by Grebogi, Ott,

Pelikan, and Yorke [1984]. Since then these objects have been observed experimentally and have been found in different models. Although a complete mathematical description of SNAs is still to be done, many of their properties are well understood on a physical level, and this is the subject of our book.

We try to describe here strange nonchaotic attractors on a level accessible for graduate students having a basic knowledge of nonlinear dynamics. We show how different tools of nonlinear dynamics, like bifurcation analysis

and Lyapunov exponents, work for these systems. ...