8 citations · 14 across the 5 of their papers we have counts for
5 papers
An abundance of periodic orbits in two-dimensional turbulence revealed by a diffusion-based generative model
Jeremy P Parker, Tobias M Schneider
Unstable periodic orbits offer a route to reconstructing the statistical properties of chaotic systems, including turbulence. Short periodic orbits are particularly important in pe…
Local and global bifurcations to large-scale oblique patterns in inclined layer convection
Zheng Zheng, Sajjad Azimi, Florian Reetz +1
In the inclined layer convection system, thermal convection in a Rayleigh--Bénard cell tilted against gravity, the flow is subject to competing buoyancy and shear forces. For varyi…
Natural convection in a vertical channel. Part 3. Bifurcations of many (additional) unstable periodic orbits and their dynamical relevance
Zheng Zheng, Laurette S. Tuckerman, Tobias M. Schneider
Vertical thermal convection system exhibits weak turbulence and spatio-temporally chaotic behaviour. In this system, we report seven equilibria and 26 periodic orbits, all new and…
Natural convection in a vertical channel. Part 1. Wavenumber interaction and Eckhaus instability in a narrow domain
Zheng Zheng, Laurette S. Tuckerman, Tobias M. Schneider
In a vertical channel driven by an imposed horizontal temperature gradient, numerical simulations have previously shown steady, time-periodic and chaotic dynamics. We explore the o…
Natural convection in a vertical channel. Part 2. Oblique solutions and global bifurcations in a spanwise-extended domain
Zheng Zheng, Laurette S. Tuckerman, Tobias M. Schneider
Vertical thermal convection is a non-equilibrium system in which both buoyancy and shear forces play a role in driving the convective flow. Beyond the onset of convection, the driv…