On the nature of turbulence

By David Ruelle, Floris Takens. 1971

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Michael Ghil
2. J. Nathan Kutz
3. D. Kondrashov
4. Steven L. Brunton
5. Joshua L. Proctor
6. Nikolay V. Kuznetsov
7. Mickaël D. Chekroun
8. Gennady A. Leonov

Citations in the corpus

• Discovering governing equations from data by sparse identification of nonlinear dynamical systems (2015, background): “Proc Natl Acad Sci USA 110(46):18368–18373.”
• ADVANCED SPECTRAL METHODS FOR CLIMATIC TIME SERIES (2002, background): “Irregularity in observed time series had traditionally been attributed to the above mentioned random “pumping” of a linear system by infinitely many (independent) degrees of freedom (DOF).”
• Measuring Dynamical Prediction Utility Using Relative Entropy (2002, background): “This pioneering study led over the following decades to the extensive study of chaotic dynamics (e.g., Ruelle and Takens 1971; Grassberger 1983; Eckmann and Ruelle 1985).”
• Theoretical perspective on the route to turbulence in a pipe (2016, background): “Ruelle & Takens (1971) specifically proposed a connection between chaotic dynamics and turbulence.”