Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems

Download or read book Strange Nonchaotic Attractors: Dynamics Between Order And Chaos In Quasiperiodically Forced Systems written by Arkady S Pikovsky and published by World Scientific. This book was released on 2006-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 exponents, 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.