What should be the influence of the imaginary part on a complex number?

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Hi,

What should be the influence of the imaginary part on a complex number?

I am asking because I am running a simulation model where the input is a complex number; say z=a+ib
Now the problem is that I get the same result when I put a=0 and give some high value to b, as when I do the vice-versa.

Should this behaviour be expected?

I look forward to a reply. Thank you in advance.
Regards,
Ila
 
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I'm no expert, but I'm pretty sure your question is too general to be given a meaningful reply. What sort of simulation is it? What, specifically, is the input modeling? As far as I understand, the imaginary part of a complex number refers to a quantity of rotation around the complex plane, where the real part refers to the radius of said rotation. Though even this description is likely insufficient.
 
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I would expect different results if I change the stiffness and the damping of a material separately. But here i get the same result.
 
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