52 citations · 76 across the 3 of their papers we have counts for
4 papers · 1 filter
Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence
Edward M. Redfern, Andrei L. Lazer, Dan Lucas
This paper demonstrates the efficient extraction of unstable recurrent flows from two-dimensional turbulence by using nonlinear triads to diagnose recurrence in direct numerical si…
Precession resonance in water waves
Dan Lucas, Miguel D Bustamante, Marc Perlin
We describe the theory and present numerical evidence for a new type of nonlinear resonant interaction between gravity waves on the surface of deep water. The resonance constitutes…
Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow
Dan Lucas, Rich Kerswell
Motivated by recent success in the dynamical systems approach to transitional flow, we study the efficiency and effectiveness of extracting simple invariant sets (recurrent flows)…
Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems
Miguel D. Bustamante, Brenda Quinn, Dan Lucas
A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in m…