output
19932022
most citedThe complex network of global cargo ship movements

982 citations

Showing chao-dynShow all

5 papers · 1 filter

chao-dyn1999★ 77 cited

Transition to turbulence in a shear flow

Bruno Eckhardt, Alois Mersmann

We analyze the properties of a 19 dimensional Galerkin approximation to a parallel shear flow. The laminar flow with a sinusoidal shape is stable for all Reynolds numbers Re. For s…

chao-dyn1997★ 112 cited

Fractal Stability Border in Plane Couette Flow

Armin Schmiegel, Bruno Eckhardt

We study the dynamics of localised perturbations in plane Couette flow with periodic lateral boundary conditions. For small Reynolds number and small amplitude of the initial state…

chao-dyn1995★ 116 cited

Approach to ergodicity in quantum wave functions

Bruno Eckhardt, Shmuel Fishman, Jonathan Keating +3

According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the ene…

chao-dyn1995★ 27 cited

Semiclassical form factor of matrix element fluctuations

Bruno Eckhardt, Joerg Main

We analyze within a semiclassical approximation the form factor for the fluctuations of quantum matrix elements around their classical average. We find two contributions: one is pr…

chao-dyn1993★ 5 cited

Continued-fraction expansion of eigenvalues of generalized evolution operators in terms of periodic orbits

Hirokazu Fujisaka, Hideto Shigematsu, Bruno Eckhardt

A new expansion scheme to evaluate the eigenvalues of the generalized evolution operator (Frobenius-Perron operator) relevant to the fluctuation spectrum and poles of the o…