We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …
AS Pikovsky, U Feudel - Chaos: An Interdisciplinary Journal of …, 1995 - pubs.aip.org
Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation …
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 …
A mechanism is described for the development of strange nonchaotic attractors from two- frequency quasiperiodic attractors in quasiperiodically driven maps. This mechanism is …
We show that in the quasiperiodically forced circle map strange non-chaotic attractors can appear for non-linearities far from the border of chaos. The destruction of a two-frequency …
AS Pikovsky, U Feudel - Journal of Physics A: Mathematical and …, 1994 - iopscience.iop.org
We consider correlations and spectra of strange nonchaotic attractors in quasiperiodically driven nonlinear systems. It is demonstrated that a self-similar autocorrelation function and a …
T Zhou, F Moss, A Bulsara - Physical Review A, 1992 - APS
Attractors which are not chaotic but nevertheless display ''strange''geometric properties have been the subject of a number of studies since they were studied in certain quasiperiodically …
Birth of a strange nonchaotic attractor: A renormalization group analysis Page 1 PHYSICAL REVIEW E VOLUME 51, NUMBER 3 MARCH 1995 Birth of a strange nonchaotic attractor …
SY Kim, W Lim, E Ott - Physical Review E, 2003 - APS
Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically …