Are Complex Roots in Macroeconomics OK? I've been estimating some non-linear Macroeconomic models.

As a field, do we care about complex roots of the autoregressive matrix? Is there any reason to think the real word processes have real roots?
As regards dynamic convergence and stability, complex roots are associated either with a stable orbit around the fixed point, or with convergence to the fixed point by damped oscillations.

Check also https://wordpress.com/post/alecospapadopoulos.wordpress.com/197