Accession Number : ADA186724
Title : Dynamical Characteristics of Weak Turbulence.
Descriptive Note : Final rept.,
Corporate Author : CORNELL UNIV ITHACA NY
Personal Author(s) : Guckenheimer, John
PDF Url : ADA186724
Report Date : Aug 1987
Pagination or Media Count : 4
Abstract : This research covered global bifurcations in planar vector fields. In particular, codimension two bifurcations involving a simple saddle point was constructed together with related results applied to Hilbert's 16th problem. Also investigated were dynamical systems with symmetry groups. Notable was the discovery of heteroclinic cycles that are structurally stable within the class of symmetric systems. This has implications for the behavior of the K-S eg and turbulence modelling. Finally some work on ID maps was initiated. Preliminary results on the measure of an attracting set has implications for the famous Henon map. Nine papers were written.
Descriptors : *TURBULENCE, *MATHEMATICAL MODELS, SYMMETRY, DYNAMICS, MODELS, LOW STRENGTH
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE