Nonlinear climate dynamics: From deterministic behaviour to stochastic excitability and chaos

DV Alexandrov, IA Bashkirtseva, M Crucifix… - Physics Reports, 2021 - Elsevier
Glacial–interglacial cycles are global climatic changes which have characterized the last 3
million years. The eight latest glacial–interglacial cycles represent changes in sea level over …

[图书][B] Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments

VS Anishchenko, V Astakhov, A Neiman, T Vadivasova… - 2007 - Springer
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 …

Characterizing strange nonchaotic attractors

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 …

[图书][B] Strange nonchaotic attractors: Dynamics between order and chaos in quasiperiodically forced systems

U Feudel, S Kuznetsov, A Pikovsky - 2006 - books.google.com
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 …

The birth of strange nonchaotic attractors

JF Heagy, SM Hammel - Physica D: Nonlinear Phenomena, 1994 - Elsevier
A mechanism is described for the development of strange nonchaotic attractors from two-
frequency quasiperiodic attractors in quasiperiodically driven maps. This mechanism is …

Strange non-chaotic attractor in a quasiperiodically forced circle map

U Feudel, J Kurths, AS Pikovsky - Physica D: Nonlinear Phenomena, 1995 - Elsevier
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 …

Correlations and spectra of strange nonchaotic attractors

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 …

Observation of a strange nonchaotic attractor in a multistable potential

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

SP Kuznetsov, AS Pikovsky, U Feudel - Physical Review E, 1995 - APS
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 …

Mechanism for the intermittent route to strange nonchaotic attractors

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 …