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一类具有周期脉冲的非线性军备竞赛博弈的动力学研究

张志攀 阳平华

兵工自动化Issue(7):11-15,5.
兵工自动化Issue(7):11-15,5.DOI:10.7690/bgzdh.2014.07.004

一类具有周期脉冲的非线性军备竞赛博弈的动力学研究

Research on Dynamics of a Nonlinear Arms Race Game Under Periodic Pulse

张志攀 1阳平华1

作者信息

  • 1. 军械工程学院基础部,石家庄 050003
  • 折叠

摘要

Abstract

In allusion to the problem that Saperstein model have deficiencies in the model design, studied the stability of arms race while one part is periodic interfered. Considering a self-restricting variable Saperstein model and then studying the effects of the self-restricting variable, we analyze the stability of equilibrium points of dynamics equations. On the basis of the analysis, considering a periodic pulse functions Saperstein model, we construct the Poincaré map of two dimension discrete dynamics equations, and calculate Floquet multipliers of periodic solutions. The result shows that the improved model’s calculation results agree with Matlab simulation graphics, and it can provides reference to further understand the arms race functional mechanism.

关键词

军备竞赛/萨珀斯坦模型/周期脉冲/Floquet理论

Key words

arms race/Saperstein model/periodic pulse/Floquet theory

分类

军事科技

引用本文复制引用

张志攀,阳平华..一类具有周期脉冲的非线性军备竞赛博弈的动力学研究[J].兵工自动化,2014,(7):11-15,5.

兵工自动化

OACSTPCD

1006-1576

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