5 papers
The real butterfly effect: from the pop culture to mathematics and physics
Victor de Jesus Valadão, Erik Aurell, Guido Boffetta +3
The "butterfly effect", introduced over half a century ago by Edward Lorenz, has shifted from a cornerstone of dynamical systems to a popular metaphor, yet its true physical manife…
Growth of small localized perturbations in Surface Quasi-Geostrophic turbulence
V. J. Valadão, M. Cencini, F. De Lillo +2
The ``butterfly effect'', i.e. the growth of a localized infinitesimal perturbation, is the fundamental property of chaotic systems. While the butterfly effect is today an obvious…
Lagrangian chaos and the enstrophy cascade in Ekman-Navier-Stokes two-dimensional turbulence
Francesco Michele Ventrella, Victor de Jesus Valadão, Guido Boffetta +2
Two-dimensional turbulence with linear (Ekman) friction exhibits spectral properties that deviate from the classical Kraichnan prediction for the direct enstrophy cascade. In parti…
Scaling and Predictability in Surface Quasi-Geostrophic Turbulence
V. J. Valadão, F. De Lillo, S. Musacchio +1
Turbulent flows are strongly chaotic and unpredictable, with a Lyapunov exponent that increases with the Reynolds number. Here, we study the chaoticity of the Surface Quasi-geostro…
Spectrum correction in Ekman-Navier-Stokes turbulence
V. J. Valadão, G. Boffetta, F. De Lillo +2
The presence of a linear friction drag affects significantly the dynamics of turbulent flows in two-dimensions. At small scales, it induces a correction to the slope of the energy…