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Abstract:
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Mathematical theory of fractional calculus has
applied to study many fields of physical science recently. In this
paper, this theory has applied further to study on mathematical
model of arms race proposed by Saperstein. The model is in the
discrete form of couple logistic equations. This type of dynamical
system may provide key to understand complex behaviors in
social and political science in term of nonlinear dynamics. The
conflict event that leads to outbreak of war can be identified as
the transition to chaotic state in dynamical system. The
dynamical behaviors of the arms race model explain by phase
space. The numerical calculations of the arms race model have
presented their fractional-order state behaviors. |