how to implement ordinary differential equation in Simulink ?

Question

Aniket 2013-2-3

I have three coupled ordinary differential equation and i want to implement it in a Simulink . can anyone tell me how should i do it ? any example ?

the following equations are related to adaptive hopf oscillator which adapt the frequency of external perturbation.

I have implemented in MATLAB but i want to implement it in Simulink.

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dy(1)/dt = (mu - r^2)y(1) - y(3)*y(2) +K*F(t)

dy(2)/dt = (mu - r^2)y(2) + y(3)*y(1)

dy(3)/dt = -K*F(t) * [y(1)/(sqrt (y(1)^2+y(2)^2))]

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here r = sqrt(y(1)^2 + y(2)^2)

F (t) = external perturbation k = constant mu = constant and y(1), y(2) and y (3) are having initial values.

Answer 1

Azzi Abdelmalek 2013-2-3

编辑：Azzi Abdelmalek 2013-2-3

Use derivative , sum , prod , gain , constant and step blocks. you will need also, a source block to your perturbation

Aniket 2013-2-4

thank you Azzi. I will try this.