Exponential Leveling for Stochastically Perturbed Dynamical Systems.

Abstract

This paper considers solutions of a differential equation in a bounded domain which is bounded in epsilon > 0. Assumptions are made that all solutions of the ODE converge to a single linearly asymptotically stable critical point in omega without leaving omega. Proof is given based on the standard probabilistic interpretation of u to epsilon power, of an exponential leveling property.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA090169

Entities

People

  • Martin Day

Organizations

  • Brown University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Brownian Motion
  • Coefficients
  • Differential Equations
  • Equations
  • Leveling
  • Mathematics
  • Probability
  • Rhode Island
  • Scientific Research
  • Standards

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.