Detecting strange attractors in turbulence

TL;DR: Through applying the RDE framework to data from both representative models and real-world systems, it is revealed that a high-dimension feature is no longer an obstacle but a source of information crucial to accurate prediction for short-term data, even under noise deterioration.

TL;DR: In this paper, the authors examined the dynamics of two-dimensional steep and breaking standing waves generated by Faraday-wave resonance and found that the breaking events (spray, air entrainment, and plunging) approximately double the wave dissipation.

TL;DR: In this tutorial the chaotic behavior of the fractional-order Chua's circuit is investigated from the time-domain point of view using the Adomian decomposition method.

TL;DR: In this article, a new statistical wind forecasting tool based on Principal Component Analysis (PCA) is presented, which is trained on past data to predict the wind speed using an ensemble of dynamically similar past events, at the same time the method provides a prediction of the likely forecasting error.

TL;DR: The Hopf bifurcation refers to the development of periodic orbits ("self-oscillations") from a stable fixed point, as a parameter crosses a critical value as mentioned in this paper.

TL;DR: In this article, a topological entropy for affine maps of Lie groups and certain homogeneous spaces is defined and compared with measure theoretic entropy for Haar measure and affine map of compact metrizable groups.

TL;DR: In this paper, the authors used the technique of laser-Doppler velocimetry to study the transition to turbulence in a fluid contained between concentric cylinders with the inner cylinder rotating.