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Complete Asymptotic Analysis of a Two-Nation Arms Race Model with Piecewise Constant Nonlinearities
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-05
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A discrete time two-nation arms race model involving a piecewise constant nonlinear control function is formulated and studied.
By elementary but novel arguments, we are able to give a complete analysis of its asymptotic behavior when the threshold parameter in the control function varies from 0+ to ∞.
We show that all solutions originated from positive initial values tend to limit one or two cycles.
An implication is that when devastating weapons are involved, “terror equilibrium” can be achieved and escalated race avoided.
It is hoped that our analysis will provide motivation for further studying of discrete-time equations with piecewise smooth nonlinearities.
American Psychological Association (APA)
Hou, Chengmin& Cheng, Sui Sun. 2012. Complete Asymptotic Analysis of a Two-Nation Arms Race Model with Piecewise Constant Nonlinearities. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-495340
Modern Language Association (MLA)
Hou, Chengmin& Cheng, Sui Sun. Complete Asymptotic Analysis of a Two-Nation Arms Race Model with Piecewise Constant Nonlinearities. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-495340
American Medical Association (AMA)
Hou, Chengmin& Cheng, Sui Sun. Complete Asymptotic Analysis of a Two-Nation Arms Race Model with Piecewise Constant Nonlinearities. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-495340
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495340