Publications [#282528] of Lawrence N. Virgin

Papers Published

1. Dowell, EH; Virgin, LN, On spatial chaos, asymptotic modal analysis, and turbulence, Journal of Applied Mechanics, vol. 57 no. 4 (January, 1990), pp. 1094-1097, ASME International, ISSN 0021-8936 [Gateway.cgi], [doi]
   (last updated on 2023/06/01)

   Abstract:
   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

   Keywords:
   chaos;classical mechanics of continuous media;turbulence;