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
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE