REPRESENTATION SCHEMES FOR INVESTIGATING NON-LINEAR PROCESSES

Abstract

Research is concerned with systems of ordinary differential equations. A framework is developed in which a statistical approach to the analysis of the equation is natural. One seeks the correlations of the solution terms of the correlations of initial conditions and/or forcing functions. General representation schemes are developed for his purpose. It is shown that general schemes can converge for arbitrarily large but finite time. In some special cases, all-time representations are obtained.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0296163

Entities

People

  • Donald B. Devorkin

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Brownian Motion
  • Complex Variables
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geophysics
  • Integral Equations
  • Linear Systems
  • Mathematical Analysis
  • Power Series
  • Statistics
  • Theorems
  • Time Intervals
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis