Bifurcation analysis in Julia
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Introducing Julia
works
using DifferentialEquations
using Plots
#pyplot()
using PyDSTool
f = @ode_def Calcium begin
dv = ( i + gl * (vl - v) - gca * 0.5 * (1 + tanh( (v-v1)/v2 )) * (v-vca) )/c
dw = v-w
end vl vca i gl gca c v1 v2
p=[-60,120,0,2,4,20,-1.2,18]
u0 = [0;0]
tspan = [0;30]
dsargs = build_ode(f,u0,tspan,p)
ode = ds[:Generator][:Vode_ODEsystem](dsargs)
ode[:set](pars = Dict("i"=>-220))
ode[:set](ics = Dict("v"=>-170))
PC = ds[:ContClass](ode)
bif = bifurcation_curve(PC,"EP-C",["i"],
max_num_points=450,
max_stepsize=2,min_stepsize=1e-5,
stepsize=2e-2,loc_bif_points="all",
save_eigen=true,name="EQ1",
print_info=true,calc_stab=true)
#using GR
#plot(bif.d[:i],bif.d[:v])
plot(bif,(:i,:v))