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SIAM Review / Volume 44 / Issue 1

SIAM Rev. 44, pp. 74-92 (19 pages)

Convergence, Oscillations, and Chaos in a Discrete Model of Combat

Hassan Sedaghat

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A piecewise smooth mapping of the three-dimensional Euclidean space is derived from a discrete-time model of combat. The mathematical analysis of this mapping focuses on the effects of discontinuity caused by the defender's withdrawal strategy---a prime component of the original model. Both the asymptotics and the transient behavior are discussed, and all the behavior types noted in the title are established as possible outcomes.

© 2002 Society for Industrial and Applied Mathematics

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AMS Subject Headings

39A11, 37E99, 37N99

PUBLICATION DATA

ISSN

0036-1445 (print)  
1095-7200 (online)

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$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1137/S003614450138299X

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