Add to ORKGChaotic attractors arising in physical systems are often nonhyperbolic. We compare two sources of nonhyperbolicity: (1) tangencies between stable and unstable manifolds, and (2) unstable dimension variability. We study the effects of noise on chaotic attractors with these nonhyperbolic behaviors by investigating the scaling laws for the Hausdorff distance between the noisy and the deterministic attractors. Whereas in the presence of tangencies, interactive noise yields attractor deformations, attractors with only dimension variability are robust, despite the fact that shadowing is grossly violated
We study the geometric and topological properties of strange non-chaotic attractors created in non-s...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Chaotic attractors arising in physical systems are often nonhyperbolic. We compare two sources of no...
We evoke the idea of representation of the chaotic attractor by the set of unstable periodic orbits ...
Results are reported concerning the transition to chaos in random dynamical systems. In particular, ...
The dynamical response of an underdamped Duffing oscillator to a quasiperiodic force is investigated...
(Communicated by Stefano Boccaletti) Abstract. This study presents a survey of the results obtained ...
A simple method is proposed to estimate the correlation dimension of a noisy chaotic attractor. The ...
this paper, that there exists a class of models of chaotic processes, for which severe obstruction ...
The treatment of noise in chaotic time series remains a challenging subject in nonlinear time series...
We investigate the sensitive dependence of asymptotic attractors on both initial conditions and para...
Noise-induced escape from the basin of attraction of a quasi-hyperbolic chaotic attractor in the Lor...
I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forc...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We study the geometric and topological properties of strange non-chaotic attractors created in non-s...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....
Chaotic attractors arising in physical systems are often nonhyperbolic. We compare two sources of no...
We evoke the idea of representation of the chaotic attractor by the set of unstable periodic orbits ...
Results are reported concerning the transition to chaos in random dynamical systems. In particular, ...
The dynamical response of an underdamped Duffing oscillator to a quasiperiodic force is investigated...
(Communicated by Stefano Boccaletti) Abstract. This study presents a survey of the results obtained ...
A simple method is proposed to estimate the correlation dimension of a noisy chaotic attractor. The ...
this paper, that there exists a class of models of chaotic processes, for which severe obstruction ...
The treatment of noise in chaotic time series remains a challenging subject in nonlinear time series...
We investigate the sensitive dependence of asymptotic attractors on both initial conditions and para...
Noise-induced escape from the basin of attraction of a quasi-hyperbolic chaotic attractor in the Lor...
I comment on how chaos might be defined. A sample of dynamical systems that have quasi-periodic forc...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We study the geometric and topological properties of strange non-chaotic attractors created in non-s...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
An important component of the mathematical definition of chaos is sensitivity to initial conditions....