The Distribution of Cycle Lengths in a Class of Abstract Systems

Abstract

uSystems which are built up from functionally identical elements having two inputs and two internal states are subjected to random initial positions and random structural connections such that a random determination of cycle length is achieved. This artifice enables tractable examination of the systems over varying system size. In particular a model is presented for the distribution of the cycle length variable and also the effect of system size on cycle length is considered.

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Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1976
Accession Number
ADA030696

Entities

People

  • Alan E. Gelfand
  • Crayton C. Walker

Organizations

  • Stanford University

Tags

Communities of Interest

  • Autonomy
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Computing-Related Activities
  • Data Science
  • Databases
  • Information Science
  • Mathematical Analysis
  • Measurement
  • Observation
  • Plastic Explosives
  • Probability
  • Probability Density Functions
  • Random Variables
  • Statistical Analysis
  • Statistics
  • Steady State
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Statistical inference.