Characteristic trajectories of generalized Lanchester equations
By: John M. Wozencraft, and Paul H. Moose
Contributors: Moose, Paul H.; Naval Postgraduate School (U.S.). Dept. of Electrical and Computer Engineering
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1987
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 58
Subjects: ATTRITION; TRAJECTORIES; LANCHESTER EQUATIONS
Other titles: NPS-62-87-014.
Description: Generalized Lanchester-type differential equations are used to model attrition processes. This system of non-linear equations has multiple equilibrium solutions, which can be determined by a numerical technique called the Continuation Method when the problem's dimensionality is moderate. System dynamics are investigated and shown to depend critically on a domain of attraction defined by a tube which connects the non-negative equilibrium points and contains the dominant eigenvector at those points. Principles are presented and illustrated for mapping NM-dimensional systems into equivalent two- dimensional systems. This capability is especially important when aggregating subsystems have only four mapping NM-dimensional systems into equivalent two- dimensional systems. This capability i especially important when aggregating subsystems in multi-level systems modeling. It is shown that the two-dimensional Lanchester systems have only four distinct modes of behaviour, depending on the number of real positive equilibrium points that they have. A method is described and illustrated for reallocating attrition as state variables approach zero in order to guarantee their non-negativity.
Notes: Title from cover.

"NPS-62-87-014."

"June 1987."

"1 Oct 85 - 1 Jun 87."

AD A185 762.

Includes bibliographical references (p. 55)

aq/aq cc:9116 06/07/99.