title: Geometry of the edge of chaos in a low-dimensional turbulent shear flow model.
abstract: We investigate the geometry of the edge of chaos for a nine-dimensional sinusoidal shear flow model and show how the shape of the edge of chaos changes with increasing Reynolds number. Furthermore, we numerically compute the scaling of the minimum perturbation required to drive the laminar attracting state into the turbulent region. We find this minimum perturbation to scale with the Reynolds number as Re(-2).
authors.affiliation: University of Maryland, College Park, Maryland 20742, USA.
authors.forename: Madhura
authors.initials: M
authors.lastname: Joglekar
authors.affiliation: Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky University Oldenburg, PF 2503, D-26111 Oldenburg, Germany.
authors.forename: Ulrike
authors.initials: U
authors.lastname: Feudel
authors.affiliation: University of Maryland, College Park, Maryland 20742, USA.
authors.forename: James A
authors.initials: JA
authors.lastname: Yorke