111 citations · 376 across the 20 of their papers we have counts for
20 papers
Fluid flow and spatiotemporal chaos in chemically active emulsions
Charu Datt, Jonathan Bauermann, Nazmi Burak Budanur +1
We study phase-separating fluid mixtures as they demix in the presence of chemical reactions that maintain them away from thermodynamic equilibrium. We show that in such chemically…
Prediction and control of spatiotemporal chaos by learning conjugate tubular neighborhoods
Nazmi Burak Budanur
I present a data-driven predictive modeling tool that is applicable to high-dimensional chaotic systems with unstable periodic orbits. The basic idea is using deep neural networks…
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…
Scale-dependent Error Growth in Navier--Stokes Simulations
Nazmi Burak Budanur, Holger Kantz
We estimate the maximal Lyapunov exponent at different resolutions and Reynolds numbers in large eddy (LES) and direct numerical simulations (DNS) of sinusoidally-driven Navier--St…
Explosive Transitions in Epidemic Dynamics
Georg Börner, Malte Schröder, Davide Scarselli +3
Standard epidemic models exhibit one continuous, second order phase transition to macroscopic outbreaks. However, interventions to control outbreaks may fundamentally alter epidemi…
Crises and chaotic scattering in hydrodynamic pilot-wave experiments
George Choueiri, Balachandra Suri, Jack Merrin +3
Theoretical foundations of chaos have have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Loren…
An autonomous compartmental model for accelerating epidemics
Nazmi Burak Budanur, Björn Hof
In Fall 2020, several European countries reported rapid increases in COVID-19 cases along with growing estimates of the effective reproduction rates. Such an acceleration in epidem…
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…
Discontinuous epidemic transition due to limited testing
Davide Scarselli, Nazmi Burak Budanur, Marc Timme +1
High impact epidemics constitute one of the largest threats humanity is facing in the 21st century. Testing, contact tracing and quarantining are critical in slowing down epidemic…
Upper edge of chaos and the energetics of transition in pipe flow
Nazmi Burak Budanur, Elena Marensi, Ashley P. Willis +1
In the past two decades, our understanding of the transition to turbulence in shear flows with linearly stable laminar solutions has greatly improved. Regarding the susceptibility…
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…
State space geometry of the chaotic pilot-wave hydrodynamics
Nazmi Burak Budanur, Marc Fleury
We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of t…
Geometry of transient chaos in streamwise-localized pipe flow turbulence
Nazmi Burak Budanur, Akshunna S. Dogra, Björn Hof
In pipes and channels, the onset of turbulence is initially dominated by localized transients, which lead to sustained turbulence through their collective dynamics. In the present…
Complexity of the laminar-turbulent boundary in pipe flow
Nazmi Burak Budanur, Björn Hof
Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computa…
Destabilizing turbulence in pipe flow
J. Kühnen, B. Song, D. Scarselli +5
Turbulence is the major cause of friction losses in transport processes and it is responsible for a drastic drag increase in flows over bounding surfaces. While much effort is inve…
Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto-Sivashinsky system
Nazmi Burak Budanur, Predrag Cvitanović
Systems such as fluid flows in channels and pipes or the complex Ginzburg-Landau system, defined over periodic domains, exhibit both continuous symmetries, translational and rotati…
Periodic orbit analysis of a system with continuous symmetry - a tutorial
Nazmi Burak Budanur, Daniel Borrero-Echeverry, Predrag Cvitanović
Dynamical systems with translational or rotational symmetry arise frequently in studies of spatially extended physical systems, such as Navier-Stokes flows on periodic domains. In…
Reduction of SO(2) symmetry for spatially extended dynamical systems
Nazmi Burak Budanur, Predrag Cvitanović, Ruslan L. Davidchack +1
Spatially extended systems, such as channel or pipe flows, are often equivariant under continuous symmetry transformations, with each state of the flow having an infinite number of…
Simulation Studies of Charge Transport on Resistive Structures in Gaseous Ionization Detectors
Nazmi Burak Budanur
We developed a tool for the simulation of charge transport on a conducting plate of finite dimensions. This tool is named Chani. Main motivation of developing Chani was to provide…