Solving system of delay differential equations with two independent variables in each equation

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Deep Patel
Deep Patel el 26 de Nov. de 2020
I want to represent a physical phenomenon of vibration using differential equations. The pair of equations formed are delay differential equations, but each one of them contains 2 independent variables. The equations are of the form as follows:
m1 y’’(t) + c1 y’(t) + k1 y(t) = a1 + b1 { y(t–τ) – y(t) } + d1 { x(t–τ) – x(t) }
m2 x’’(t) + c2 x’(t) + k2 x(t) = a2 + b2 { x(t–τ) – x(t) } + d2 { y(t–τ) – y(t) }
where, are all constants and x, y are coordinates.
I am not very familiar with dde23 solver. I tried a few examples but couldn't understand how to solve this. These equations are previously solved in the research literature I am referring to, using dde solver only. Please help!! Thank you in advance.

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