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- Bruno Eckhardt, Holger Faisst, Armin Schmiegel, Tobias M Schneider
- Philosophical transactions. Series A…
- 2008

Plane Couette flow and pressure-driven pipe flow are two examples of flows where turbulence sets in while the laminar profile is still linearly stable. Experiments and numerical studies have shown that the transition has features compatible with the formation of a strange saddle rather than an attractor. In particular, the transition depends sensitively on… (More)

- Tobias M Schneider, Bruno Eckhardt, James A Yorke
- Physical review letters
- 2007

The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturbation amplitude we study the edge of chaos which separates perturbations that decay towards the laminar profile and perturbations that trigger turbulence. Using the lifetime as an… (More)

- Holger Faisst, Bruno Eckhardt
- Physical review letters
- 2003

A family of three-dimensional traveling waves for flow through a pipe of circular cross section is identified. The traveling waves are dominated by pairs of downstream vortices and streaks. They originate in saddle-node bifurcations at Reynolds numbers as low as 1250. All states are immediately unstable. Their dynamical significance is that they provide a… (More)

- Joseph D Skufca, James A Yorke, Bruno Eckhardt
- Physical review letters
- 2006

We study the transition between laminar and turbulent states in a Galerkin representation of a parallel shear flow, where a stable laminar flow and a transient turbulent flow state coexist. The regions of initial conditions where the lifetimes show strong fluctuations and a sensitive dependence on initial conditions are separated from the ones with a smooth… (More)

- Tobias M Schneider, John F Gibson, Maher Lagha, Filippo De Lillo, Bruno Eckhardt
- Physical review. E, Statistical, nonlinear, and…
- 2008

We apply the iterated edge-state tracking algorithm to study the boundary between laminar and turbulent dynamics in plane Couette flow at Re=400. Perturbations that are not strong enough to become fully turbulent or weak enough to relaminarize tend toward a hyperbolic coherent structure in state space, termed the edge state, which seems to be unique up to… (More)

- Tobias M Schneider, Bruno Eckhardt, Jürgen Vollmer
- Physical review. E, Statistical, nonlinear, and…
- 2007

Numerical and experimental studies of transitional pipe flow have shown the prevalence of coherent flow structures that are dominated by downstream vortices. They attract special attention because they contribute predominantly to the increase of the Reynolds stresses in turbulent flow. In the present study we introduce a convenient detector for these… (More)

- Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott
- Nature
- 2005

Soon after the crowd streamed on to London's Millennium Bridge on the day it opened, the bridge started to sway from side to side: many pedestrians fell spontaneously into step with the bridge's vibrations, inadvertently amplifying them. Here we model this unexpected and now notorious phenomenon--which was not due to the bridge's innovative design as was… (More)

- Björn Hof, Jerry Westerweel, Tobias M Schneider, Bruno Eckhardt
- Nature
- 2006

Generally, the motion of fluids is smooth and laminar at low speeds but becomes highly disordered and turbulent as the velocity increases. The transition from laminar to turbulent flow can involve a sequence of instabilities in which the system realizes progressively more complicated states, or it can occur suddenly. Once the transition has taken place, it… (More)

- Felix Dempwolff, Felix K Schmidt, +12 authors Peter L Graumann
- PLoS genetics
- 2016

Biological membranes have been proposed to contain microdomains of a specific lipid composition, in which distinct groups of proteins are clustered. Flotillin-like proteins are conserved between pro-and eukaryotes, play an important function in several eukaryotic and bacterial cells, and define in vertebrates a type of so-called detergent-resistant… (More)

- Thomas Niedermayer, Bruno Eckhardt, Peter Lenz
- Chaos
- 2008

Synchronization and wave formation in one-dimensional ciliary arrays are studied analytically and numerically. We develop a simple model for ciliary motion that is complex enough to describe well the behavior of beating cilia but simple enough to study collective effects analytically. Beating cilia are described as phase oscillators moving on circular… (More)