Support for Complex number equations? about dynamicalsystems.jl

[Datseris]

Hi,

sorry this will never be supported in DynamicalSystems.jl. Within the nonlinear dynamics theory it is much better to decompose your complex numbers into formal equations for the real and imaginary parts. Otherwise you are "hiding" the dimensionality of your state space. The example you post above is not two dimensional, but four. Decomposing that enables the rest of the library to work, because many algorithms must know the state space dimensionality to work. And with complex numbers, you can never know if the dimensionality is twice as much, or something in between.

So in conclusion, re-write your equations with real numbers by separating real and imaginary parts.

[Datseris]

However, I am re-opening this, because an error needs to be put into the dynamical system creation when the state has complex numbers. The error should say "decompose into reals.".

[MA-Ramirez]

Hello! I am a first time contributor and I would like to help with this issue :)