Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Budanur, Nazmi Burak"'
Autor:
Budanur, Nazmi Burak
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 to learn coordinate transformations between the trajectories in the pe
Externí odkaz:
http://arxiv.org/abs/2310.12178
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 this apparently discontinuous change from low- to high-dimensional motio
Externí odkaz:
http://arxiv.org/abs/2306.05098
Autor:
Budanur, Nazmi Burak
The term spatiotemporal chaos refers to physical phenomena that exhibit irregular oscillations in both space and time. Examples of such phenomena range from cardiac dynamics to fluid turbulence, where the motion is described by nonlinear partial diff
Externí odkaz:
http://hdl.handle.net/1853/54445
Autor:
Budanur, Nazmi Burak, Kantz, Holger
Publikováno v:
Phys. Rev. E 106, 045102 (2022)
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--Stokes equations in three dimensions. Independent of the Reynolds number
Externí odkaz:
http://arxiv.org/abs/2209.01064
Autor:
Börner, Georg, Schröder, Malte, Scarselli, Davide, Budanur, Nazmi Burak, Hof, Björn, Timme, Marc
Standard epidemic models exhibit one continuous, second order phase transition to macroscopic outbreaks. However, interventions to control outbreaks may fundamentally alter epidemic dynamics. Here we reveal how such interventions modify the type of p
Externí odkaz:
http://arxiv.org/abs/2207.08879
Autor:
Choueiri, George, Suri, Balachandra, Merrin, Jack, Serbyn, Maksym, Hof, Björn, Budanur, Nazmi Burak
Publikováno v:
Chaos 32, 093138 (2022)
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 Lorenz model in dissipative systems. In contrast, many real-world chaotic p
Externí odkaz:
http://arxiv.org/abs/2206.01531
Autor:
Budanur, Nazmi Burak, Hof, Björn
Publikováno v:
PLoS ONE 17(7): e0269975 (2022)
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 epidemic spread is usually attributed to time-dependent effects, e.g. human
Externí odkaz:
http://arxiv.org/abs/2110.06352
Data-driven dimensionality reduction methods such as proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for thes
Externí odkaz:
http://arxiv.org/abs/2101.07516
Autor:
Budanur, Nazmi Burak1 (AUTHOR) nbudanur@pks.mpg.de
Publikováno v:
APL Machine Learning. Mar2024, Vol. 2 Issue 1, p1-13. 13p.
Publikováno v:
Phys. Rev. Lett. 126, 244502 (2021)
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 transient visits to the neighborhoods of unstable time-periodic solut
Externí odkaz:
http://arxiv.org/abs/2007.02584