Accession Number:

ADA030696

Title:

The Distribution of Cycle Lengths in a Class of Abstract Systems

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF STATISTICS

Personal Author(s):

• Gelfand, Alan E.
• Walker, Crayton C.

Report Date:

1976-08-11

Pagination or Media Count:

21.0

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.

Descriptors:

• *MATHEMATICAL MODELS
• *TRANSFORMATIONS(MATHEMATICS)
• SYSTEMS APPROACH
• DISTRIBUTION THEORY

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE