ON THE COMPUTATIONAL DETERMINATION OF THE NATURE OF SOLUTIONS OF NONLINEAR SYSTEMS WITH STOCHASTIC INPUTS

Abstract

Nonlinear dynamics problems prove difficult to investigate analytically or numerically if probabilistic terms are involved in their equations. This paper develops a technique for handling problems of this type that is practical only if a high speed computer is available to perform the attendant computations. The method is general, but was applied to the Van der Pol equation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 06, 1957
Accession Number
AD0606600

Entities

People

  • Mikiso Mizuki
  • Ppaul Brock
  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computations
  • Computers
  • Digital Computers
  • Dynamics
  • Equations
  • Errors
  • Hard Copy
  • Integrals
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Probability
  • Probability Distributions
  • Truncation
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Neural Network Machine Learning.