- Dowell, E.H. and Virgin, L.N., On spatial chaos, asymptotic modal analysis, and turbulence,
Trans. ASME, J. Appl. Mech. (USA), vol. 57 no. 4
pp. 1094 - 7 .
(last updated on 2007/04/10)
In low-dimensional systems exhibiting chaos the response is temporally random (uncorrelated), but spatially deterministic (correlated). A mechanism has been identified by which the response of a continuum system may be both temporally and spatially uncorrelated, i.e. `turbulent'. The explanation of the mechanism is based upon recent work in chaos of low-to-moderate dimensional systems and also asymptotic modal analysis of high-dimensional systems. The conjectured mechanism and explanation has been confirmed by numerical experiments for a nonlinear system previously studied in the literature
chaos;classical mechanics of continuous media;turbulence;