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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: The almost sure stability of coupled system of stochastic delay differential equations on networks

Figure 1

Computer simulation of the paths of \(\pmb{x_{1}^{(1)}(t)}\) , \(\pmb{x_{2}^{(1)}(t)}\) and \(\pmb{x_{3}^{(1)}(t)}\) for the three discrete-time independent oscillators described by ( 4.37 ) using the Euler-Maruyama method with step size 0.02 and initial values \(\pmb{x_{1}^{(1)}(0)=1}\) , \(\pmb{x_{1}^{(2)}(0)=0.6}\) , \(\pmb{x_{2}^{(1)}(0)=0.4}\) , \(\pmb{x_{2}^{(2)}(0)=0.7}\) , \(\pmb{x_{3}^{(1)}=-0.5}\) , \(\pmb{x_{3}^{(2)}(0)=-0.5}\) .

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