Dynamical Characteristics of Weak Turbulence.

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.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1987
Accession Number
ADA186724

Entities

People

  • John Guckenheimer

Organizations

  • Cornell University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Chemical Reactors
  • Classification
  • Differential Equations
  • Equations
  • Flow
  • Fluid Flow
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Security
  • Turbulent Boundary Layer
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Mechanics and Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.