Birth of strange nonchaotic attractors in a piecewise linear oscillator
J Duan, W Zhou, D Li, C Grebogi - Chaos: An Interdisciplinary Journal …, 2022 - pubs.aip.org
Nonsmooth systems are widely encountered in engineering fields. They have abundant
dynamical phenomena, including some results on the complex dynamics in such systems …
dynamical phenomena, including some results on the complex dynamics in such systems …
Generation mechanisms of strange nonchaotic attractors and multistable dynamics in a class of nonlinear economic systems
G Li, J Duan, D Li, N Wang - Nonlinear Dynamics, 2023 - Springer
In this paper, we study strange nonchaotic attractors (SNAs) and multistable dynamics in a
class of nonlinear economic systems. For quasiperiodically forced case, the generation and …
class of nonlinear economic systems. For quasiperiodically forced case, the generation and …
Quasiperiodically forced interval maps with negative Schwarzian derivative
TH Jäger - Nonlinearity, 2003 - iopscience.iop.org
In the study of quasiperiodically forced systems invariant graphs have a special significance.
In some cases, it was already possible to deduce statements about the invariant graphs of …
In some cases, it was already possible to deduce statements about the invariant graphs of …
How chaotic are strange non-chaotic attractors?
We show that the classic examples of quasiperiodically forced maps with strange non-
chaotic attractors described by Grebogi et al and Herman in the mid-1980s have some …
chaotic attractors described by Grebogi et al and Herman in the mid-1980s have some …
Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations
D Cheban, C Mammana - Nonlinear Analysis: Theory, Methods & …, 2004 - Elsevier
The article is devoted to the study of quasi-linear nonautonomous difference equations:
invariant manifolds, compact global attractors, almost periodic and recurrent solutions and …
invariant manifolds, compact global attractors, almost periodic and recurrent solutions and …
Amorphic complexity
G Fuhrmann, M Gröger, T Jäger - Nonlinearity, 2016 - iopscience.iop.org
We introduce amorphic complexity as a new topological invariant that measures the
complexity of dynamical systems in the regime of zero entropy. Its main purpose is to detect …
complexity of dynamical systems in the regime of zero entropy. Its main purpose is to detect …
On the structure of strange non-chaotic attractors in pinched skew products
TH Jäger - Ergodic theory and Dynamical systems, 2007 - cambridge.org
The existence of non-continuous invariant graphs (or strange non-chaotic attractors) in
quasiperiodically forced systems has generated great interest, but there are still very few …
quasiperiodically forced systems has generated great interest, but there are still very few …
Non-smooth saddle-node bifurcations II: Dimensions of strange attractors
G Fuhrmann, M Gröger, T Jäger - Ergodic Theory and Dynamical …, 2018 - cambridge.org
We study the geometric and topological properties of strange non-chaotic attractors created
in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By …
in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By …
Nonautonomous saddle-node bifurcations: Random and deterministic forcing
V Anagnostopoulou, T Jäger - Journal of Differential Equations, 2012 - Elsevier
We study the effect of external forcing on the saddle-node bifurcation pattern of interval
maps. By replacing fixed points of unperturbed maps by invariant graphs, we obtain direct …
maps. By replacing fixed points of unperturbed maps by invariant graphs, we obtain direct …
Transitive sets for quasi-periodically forced monotone maps
J Stark - Dynamical Systems, 2003 - Taylor & Francis
There has been considerable interest in recent years in quasi-periodically forced systems,
partly due to the fact that these commonly exhibit strange non-chaotic attractors. Relatively …
partly due to the fact that these commonly exhibit strange non-chaotic attractors. Relatively …