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physics.flu-dyn2019
Fluctuations of Lyapunov Exponents in homogeneous and isotropic turbulence
Richard Ho, Andres Armua, Arjun Berera
In the context of the analysis of the chaotic properties of homogeneous and isotropic turbulence, direct numerical simulations are used to study the fluctuations of the finite time…
nlin.CD2019
High dimensional chaotic systems which behave like random walks in state space
Richard D. J. G. Ho
By analysing an n-dimensional generalisation of Thomas's cyclically symmetric attractor we find that this chaotic dynamical system behaves like a random walk constrained onto the s…
physics.flu-dyn2019
Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence
Y. Charles Li, Richard D. J. G. Ho, Arjun Berera +1
Ruelle predicted that the maximal amplification of perturbations in homogeneous isotropic turbulence is exponential (where is the maximal Liapunov e…