Julia code for 1-D discrete system

Specific Domains Modelling & Simulations
4

The problem is that you are mixing scalar and array representations of state, plus x1 is not defined:

logistic_eom(x, p, t) = SVector{1}(p[1]*x1)
state = zeros(1)

Note that x1 is a scalar that doesn’t appear in the argument list, and state is a 1-D vector. You should follow @Datseris’s answer very closely, where x is a scalar and f returns a scalar.
According to the documentation:

Comment on 1-D
One dimensional discrete systems expect the state always as a pure number, 0.8 instead of SVector(0.8) .

You’ll probably want logistic_eom(x1,p,t) = p[1]*x1 to be consistent on both left and right-hand sides, and your initial state will also have to be scalar.

EDIT: Forgot to say try to format your code for readability and follow these instructions.