Accession Number:
AD0296163
Title:
REPRESENTATION SCHEMES FOR INVESTIGATING NON-LINEAR PROCESSES
Descriptive Note:
Corporate Author:
MASSACHUSETTS INST OF TECH CAMBRIDGE
Personal Author(s):
Report Date:
1962-12-01
Pagination or Media Count:
99.0
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 andor 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.
Descriptors:
- *NONLINEAR DIFFERENTIAL EQUATIONS
- *DIFFERENTIAL EQUATIONS
- *FLUID MECHANICS
- *FLUID FLOW
- *NONLINEAR SYSTEMS
- CORRELATION TECHNIQUES
- FUNCTIONS(MATHEMATICS)
- SERIES(MATHEMATICS)
- COMPLEX VARIABLES
- STATISTICAL PROCESSES
- STATISTICAL ANALYSIS
- OPERATORS(MATHEMATICS)
- TENSOR ANALYSIS
- DISTRIBUTION
- MATRICES(MATHEMATICS)
Subject Categories:
- Operations Research