44 citations · 113 across the 8 of their papers we have counts for
8 papers
Finding periodic orbits in projected quantum many-body dynamics
Elena Petrova, Marko Ljubotina, Gökhan Yalnız +1
Describing general quantum many-body dynamics is a challenging task due to the exponential growth of the Hilbert space with system size. The time-dependent variational principle (T…
Discontinuous transition to shear flow turbulence
Bowen Yang, Yi Zhuang, Gökhan Yalnız +3
Depending on the type of flow, the transition to turbulence can take one of two forms: either turbulence arises from a sequence of instabilities or from the spatial proliferation o…
Direct path from turbulence to time-periodic solutions
Chaitanya S. Paranjape, Gökhan Yalnız, Yohann Duguet +2
Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How th…
Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows
Elena Marensi, Gökhan Yalnız, Björn Hof
The first long-lived turbulent structures observable in planar shear flows take the form of localized stripes, inclined with respect to the mean flow direction. The dynamics of the…
Aging and memory of transitional turbulence
Vasudevan Mukund, Chaitanya S. Paranjape, Michael Philip Sitte +2
The recent classification of the onset of turbulence as a directed percolation (DP) phase transition has been applied to all major shear flows including pipe, channel, Couette and…
Symmetry-reduced Dynamic Mode Decomposition of Near-wall Turbulence
Elena Marensi, Gökhan Yalnız, Björn Hof +1
Data-driven dimensionality reduction methods such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) have proven to be useful for exploring complex pheno…
Coarse graining the state space of a turbulent flow using periodic orbits
Gökhan Yalnız, Björn Hof, Nazmi Burak Budanur
We show that turbulent dynamics that arise in simulations of the three-dimensional Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing can be described as…
Inferring symbolic dynamics of chaotic flows from persistence
Gökhan Yalnız, Nazmi Burak Budanur
We introduce "state space persistence analysis" for deducing the symbolic dynamics of time series data obtained from high-dimensional chaotic attractors. To this end, we adapt a to…