Coherence and Chaos in Integrable PDEs (Partial Differential Equations)

Abstract

The results of the efforts for grant AFOSR-88-0195 are: (1) numerically identified low dimensional chaotic attractors with spatially coherent structures; (2) measured the properties of the chaos; (3) identified the sources and types of chaos; (4) determined natural coordinates for the attractor which are associated with the simple spatial patterns in chaos; AND (5) used these coordinates to calculate reduced systems of equations which have the same routes to chaos and qualitatively-and quatitatively-similar strange attractors.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1991
Accession Number
ADA239264

Entities

People

  • Edward Overman

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Data Analysis
  • Differential Equations
  • Energy
  • Energy Transfer
  • Equations
  • Geometry
  • Partial Differential Equations
  • Perturbation Theory
  • Perturbations
  • Power Spectra
  • Radiation
  • Sequences
  • Spectra
  • Subatomic Particles
  • Trajectories
  • Truncation

Readers

  • Calculus or Mathematical Analysis
  • Neural Network Machine Learning.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.