After using DynamicalSystems, I don't have "lyapunovx"

New to Julia
,
1

Hey, I just set up my Julia environment (1.9.0) and installed some packages. I tried

using DynamicalSystems
lorenz = ContinuousDynamicalSystem(lorenz_rule, u₀, p₀)
lyapunovs(lorenz,50)

and get the error:

UndefVarError: `lyapunovs` not defined

Stacktrace:
 [1] top-level scope
   @ In[37]:1

However, I have access to lyapunov for the maximal Lyapunov Exponent.
I have "DynamicalSystems" => v"3.0.0".

This seems very strange to me. Can anyone offer some help? Thanks!

2

lyapunovs was the function defined in older versions of DynamicalSystems.jl. If you have installed the version 3.0.0, then call it as lyapunovspectrum:

function lorenz_rule(u, p, t)
    σ = p[1]; ρ = p[2]; β = p[3]
    du1 = σ*(u[2]-u[1])
    du2 = u[1]*(ρ-u[3]) - u[2]
    du3 = u[1]*u[2] - β*u[3]
    return SVector{3}(du1, du2, du3)
end

lrz = CoupledODEs(lorenz_rule, [0,10.0,1.0], [10, 32, 8/3])
lp = lyapunovspectrum(lrz, 10000; Δt = 0.1)
3

I see. Thank you so much!