17 citations · 25 across the 6 of their papers we have counts for
6 papers
Emergence of chaos and fractality in the basin boundary of subcritical shear flow
Baoying Wang, Roger Ayats, Kengo Deguchi +2
From a dynamical systems perspective of subcritical transition in shear flows, the basin boundary separating the laminar and turbulent attractors, along with the edge state that go…
From directed percolation to patterned turbulence
Roger Ayats, Lukasz Klotz, Björn Hof
The transition to turbulence is characterized by an abrupt loss of order and predictability, featuring the intermittent proliferation and decay of localized turbulent structures. E…
Mathematically established chaos and forecast of statistics with recurrent patterns in Taylor-Couette flow
Baoying Wang, Roger Ayats, Kengo Deguchi +2
The transition to chaos in the subcritical regime of counter-rotating Taylor-Couette flow is investigated using a minimal periodic domain capable of sustaining coherent structures.…
Feigenbaum universality in subcritical Taylor-Couette flow
Baoying Wang, Roger Ayats, Kengo Deguchi +2
Feigenbaum universality is shown to occur in subcritical shear flows. Our testing ground is the counter-rotation regime of the Taylor-Couette flow, where numerical calculations are…
Self-sustainment of coherent structures in counter-rotating Taylor-Couette flow
B. Wang, R. Ayats, K. Deguchi +2
We investigate the local self-sustained process underlying spiral turbulence in counter-rotating Taylor-Couette flow using a periodic annular domain, shaped as a parallelogram, two…
Fully nonlinear mode competitions in magnetised Taylor-Couette flow
R. Ayats, K. Deguchi, F. Mellibovsky +1
We study the nonlinear mode competition of various spiral instabilities in magnetised Taylor-Couette flow. The resulting finite-amplitude mixed-mode solution branches are tracked u…