Fractional Order Genesio-Tesi System

using FractionalDiffEq, Plots

h=0.005
alpha = [0.95, 0.95, 0.95]
x0 = [-0.1, 0.5, 0.2]
tspan = (0, 100)
function GenesioTesi!(du, u, p, t)
    b1, b2, b3, b4 = 1, 1.1, 0.4, 1.0
    du[1] = u[2]
    du[2] = u[3]
    du[3] -b1*u[1]-b2*u[2]-b3*u[3]+b4*u[1]^2
end
prob = FODESystem(GenesioTesi!, alpha, x0, tspan)
sol = solve(prob, h, GL())

plot(sol, vars=(1,2,3), title="Fractional Order Genesio-Tesi System")

Genesio-Tesi


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