All Outputs (2)

Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence (2024)
Journal Article
Redfern, E. M., Lazer, A. L., & Lucas, D. (in press). Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence. Physical Review Fluids, 9(12), Article 124401. https://doi.org/10.1103/physrevfluids.9.124401

This paper demonstrates the efficient extraction of unstable recurrent flows from two-dimensional turbulence by using nonlinear triads to diagnose recurrence in direct numerical simulations. Nearly recurrent episodes are identified from simulations a... Read More about Dynamically relevant recurrent flows obtained via a nonlinear recurrence function from two-dimensional turbulence.

Stabilisation of exact coherent structures in two-dimensional turbulence using time-delayed feedback (2022)
Journal Article
Lucas, D., & Yasuda, T. (2022). Stabilisation of exact coherent structures in two-dimensional turbulence using time-delayed feedback. Physical Review Fluids, https://doi.org/10.1103/PhysRevFluids.7.014401

Time-delayed feedback control, attributed to Pyragas (1992 Physics Letters 170(6) 421-428), is a method known to stabilise periodic orbits in low dimensional chaotic dynamical systems. A system of the form $\dot{\mathbf{x}}(t)=f(\mathbf{x})$ has an a... Read More about Stabilisation of exact coherent structures in two-dimensional turbulence using time-delayed feedback.