Research Catalog

Title

Strange nonchaotic attractors : dynamics between order and chaos in quasiperiodically forced systems / Ulrike Feudel, Sergey Kuznetsov, Arkady Pikovsky.

Author

Feudel, Ulrike.

Publication

New Jersey ; London : World Scientific Publishing, [2006], ©2006.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Kuznet︠s︡ov, S. P. (Sergeĭ Petrovich), 1951-
• Pikovsky, Arkady, 1956-

Description

xi, 213 pages : illustrations; 24 cm.

Summary

"This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov experiments, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed."--BOOK JACKET.

Series Statement

World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 56

Uniform Title

World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 56.

Subjects

• Differentiable dynamical systems
• Chaotic behavior in systems
• Attractors (Mathematics)
• Nonlinear systems

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Introduction -- 2. Models -- 3. Rational approximations -- 4. Stability and instability -- 5. Fractal and statistical properties -- 6. Bifurcations in quasiperiodically forced systems and transitions to SNA -- 7. Renormalization group approach to the onset of SNA in maps with the golden-mean quasiperiodic driving.

ISBN

9812566333

LCCN

9789812566331

OCLC

• ocm70671280
• SCSB-5269281

Owning Institutions

Columbia University Libraries