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Last active June 3, 2019 01:06
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Calculating Lyapunov Exponents with ForwardDiff.jl and DifferentialEquations.jl
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calculating Lyapunov Exponents with [ForwardDiff.jl] and [DifferentialEquations.jl]\n",
"\n",
"Julia has a [rich stack of auto-differentiation tools](https://github.com/JuliaDiff), including [ForwardDiff.jl]. I just noticed calculating Lyapunov exponents using [ForwardDiff.jl] and [DifferentialEquations.jl] is quite easy. Basically, you calculate the derivative of the phase space dynamics at the same time for the tangent space derivative (see `tangent_dynamics` function) using `ForwardDiff.jacobian!` and pass that to `DifferentialEquations` solver. Thanks to [ForwardDiff.jl], this calculation can be done automagically for *any* dynamical system defined on real Euclidean space; i.e., the function `phase_dynamics(t, u, du)` defining phase space dynamics can accept any type of `Array{Real}` for `u` and `du`. This means that the function `phase_dynamics` can contain arbitrary Julia code such as \"if\" statement as in `piecewise_linear` example below.\n",
"\n",
"[ForwardDiff.jl]: https://github.com/JuliaDiff/ForwardDiff.jl\n",
"[DifferentialEquations.jl]: https://github.com/JuliaDiffEq/DifferentialEquations.jl"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"using DifferentialEquations"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"using Plots"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"lyapunov_exponents (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"include(\"LyapunovExponentsWithForwardDiff.jl\")\n",
"lyapunov_exponents = LyapunovExponentsWithForwardDiff.lyapunov_exponents"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"search:\n",
"\n"
]
},
{
"data": {
"text/markdown": [
"`lyapunov_exponents(phase_dynamics, u0, t_chunk, num_tran, num_attr; ...)`\n",
"\n",
"### Positional Arguments\n",
"\n",
" * `phase_dynamics`: Definition of the phase space dynamics in the inplace `(t, u, du)` format (as in `ODEProblem`).\n",
" * `u0`: Initial state for the phase space dynamics.\n",
" * `t_chunk`: Length of numerical integration between orthonormalization.\n",
" * `num_tran`: Number of iterations to through away to get rid of the transient dynamics.\n",
" * `num_attr`: Number of orthonormalization steps for Lyapunov exponent calculation (which is presumably done inside an attractor).\n",
"\n",
"### Keyword Arguments\n",
"\n",
" * `dim_lyap`: Number of Lyapunov exponents to be calculated. Default to the full system dimension.\n",
" * `Q0`: The initial guess of the Gram-Schmidt \"Lyapunov vectors\". Default to the identity matrix.\n"
],
"text/plain": [
"`lyapunov_exponents(phase_dynamics, u0, t_chunk, num_tran, num_attr; ...)`\n",
"\n",
"### Positional Arguments\n",
"\n",
" * `phase_dynamics`: Definition of the phase space dynamics in the inplace `(t, u, du)` format (as in `ODEProblem`).\n",
" * `u0`: Initial state for the phase space dynamics.\n",
" * `t_chunk`: Length of numerical integration between orthonormalization.\n",
" * `num_tran`: Number of iterations to through away to get rid of the transient dynamics.\n",
" * `num_attr`: Number of orthonormalization steps for Lyapunov exponent calculation (which is presumably done inside an attractor).\n",
"\n",
"### Keyword Arguments\n",
"\n",
" * `dim_lyap`: Number of Lyapunov exponents to be calculated. Default to the full system dimension.\n",
" * `Q0`: The initial guess of the Gram-Schmidt \"Lyapunov vectors\". Default to the identity matrix.\n"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"?lyapunov_exponents"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Examples"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lorenz system\n",
"\n",
"* https://en.wikipedia.org/wiki/Lorenz_system\n",
"* http://sprott.physics.wisc.edu/chaos/comchaos.htm\n",
"* E. N. Lorenz, J. Atmos. Sci. 20, 130-141 (1963)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"lorenz (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function lorenz(t, u, du)\n",
" du[1] = 10.0(u[2]-u[1])\n",
" du[2] = u[1]*(28.0-u[3]) - u[2]\n",
" du[3] = u[1]*u[2] - (8/3)*u[3]\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sol = solve(ODEProblem(lorenz, [0.1, 0.1, 0.1], (0.0, 100.0)));"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
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\" />"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(sol, vars=(1,2,3), linewidth=0.5, label=\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Lyapunov exponents of the Lorenz system"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Computing Lyapunov exponents... 40% ETA: 0:00:09\n"
]
},
{
"data": {
"text/plain": [
"Lyapunov Exponents: [0.902347,0.00278941,-14.5581]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\r",
"Computing Lyapunov exponents... 79% ETA: 0:00:02\r",
"Computing Lyapunov exponents...100% Time: 0:00:08"
]
}
],
"source": [
"res = lyapunov_exponents(lorenz, [0.1, 0.1, 0.1], 1.0, 10, 1000)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<img 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\" />"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(res; known=[0.9056, 0, -14.5723])"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Simplest piecewise linear dissipative chaotic flow (Linz and Sprott, 1999)\n",
"\n",
"* http://sprott.physics.wisc.edu/chaos/comchaos.htm\n",
"* S. J. Linz and J. C. Sprott, Phys. Lett. A 259, 240-245 (1999)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"piecewise_linear (generic function with 1 method)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function piecewise_linear(t, u, du)\n",
" du[1] = u[2]\n",
" du[2] = u[3]\n",
" du[3] = -0.6 * u[3] - u[2] - (u[1] > 0 ? u[1] : -u[1]) + 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sol = solve(ODEProblem(piecewise_linear, [0.1, 0.1, 0.1], (0.0, 100.0)));"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(sol, vars=(1,2,3), linewidth=0.5, label=\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Lyapunov exponents of the piecewise linear system"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Computing Lyapunov exponents... 61% ETA: 0:00:04"
]
}
],
"source": [
"res = lyapunov_exponents(piecewise_linear, [0.1, 0.1, 0.1], 1.0, 10, 10000)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<img 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\" />"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(res; known=[0.0362, 0, -0.6362])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Small recurrent neural network (Beer, 1995)\n",
"\n",
"* Beer, R. D. (1995). On the dynamics of small continuous-time recurrent neural networks. Adapt. Behav., 3(4), 469–509. http://doi.org/10.1177/105971239500300405"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RNN"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"module RNN\n",
"\n",
"using DifferentialEquations\n",
"using ParameterizedFunctions\n",
"\n",
"type RNNParam\n",
" w\n",
" θ\n",
" τ\n",
"end\n",
"\n",
"σ(x) = 1 / (1 + exp(-x))\n",
"\n",
"function rnn(t, u, param, du)\n",
" w = param.w\n",
" θ = param.θ\n",
" τ = param.τ\n",
" du .= (- u .+ w * σ.(u .+ θ)) ./ τ\n",
"end\n",
"\n",
"function beer1995()\n",
" ParameterizedFunction(rnn, RNNParam(\n",
" # w\n",
" [ 5.422 -0.018 2.75\n",
" -0.24 4.59 1.21\n",
" 0.535 -2.25 3.885 ],\n",
" # θ\n",
" [-4.108, -2.787, -1.114],\n",
" # τ\n",
" [1.0, 2.5, 1.0],\n",
" ))\n",
"end\n",
"\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(::ParameterizedFunction) (generic function with 4 methods)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"beer1995 = RNN.beer1995()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sol = solve(ODEProblem(beer1995, ones(3), (0.0, 1000.0)));"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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\" />"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(sol, vars=(1,2,3), linewidth=0.5, label=\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Lyapunov exponents of the RNN"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Computing Lyapunov exponents...100% Time: 0:00:20\n"
]
},
{
"data": {
"text/plain": [
"Lyapunov Exponents: [0.00805917,-0.000292011,-0.468965]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"res = lyapunov_exponents(beer1995, ones(3), 1.0, 10, 10000)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<img 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\" />"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot(res; known=[0.01, 0, NaN])"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia (unstable3)",
"language": "julia",
"name": "unstable3-julia"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
module LyapunovExponentsWithForwardDiff
using DifferentialEquations
using ForwardDiff
using ParameterizedFunctions
using ProgressMeter
using RecipesBase
type LyapunovExponentsResult
sol_p
sol_pt
values
end
Base.show(io::IO, res::LyapunovExponentsResult) =
print(io, "Lyapunov Exponents: ", res.values[:, end])
type PhaseTangentParam
phase_dynamics
Jacobian
function PhaseTangentParam(phase_dynamics, x0)
new(phase_dynamics,
similar(x0, (length(x0), length(x0))))
end
end
function tangent_dynamics(t, u, param, du)
ForwardDiff.jacobian!(
param.Jacobian,
(y, x) -> param.phase_dynamics(t, x, y),
(@view du[:, 1]), # phase space derivative goes here
(@view u[:, 1]),
)
A_mul_B!((@view du[:, 2:end]), param.Jacobian, (@view u[:, 2:end]))
end
function keepgoing!(sol)
sol.prob.u0 = sol(sol.prob.tspan[end])
solve(sol.prob)
end
"""
S_n = ((n-1)/n) S_{n-1} + r_n / n
"""
@inline function lyap_add_R!(n, lyap, R)
a = (n - 1) / n
b = 1 - a
for i = 1:length(lyap)
lyap[i] = a * lyap[i] + b * log(R[i, i])
end
end
""" A = A * diag(sgn) """
@inline function A_mul_sign!(A, sgn)
for i = 1:size(A)[2]
if !sgn[i]
A[:, i] *= -1
end
end
A
end
""" A = diag(sgn) * A """
@inline function sign_mul_A!(sgn, A)
for i = 1:size(A)[1]
if !sgn[i]
A[i, :] *= -1
end
end
A
end
""" sgn = sign(diag(A)) """
@inline function sign_diag!(sgn, A)
for i = 1:size(A)[1]
sgn[i] = A[i, i] >= 0
end
sgn
end
"""
`lyapunov_exponents(phase_dynamics, u0, t_chunk, num_tran, num_attr; ...)`
### Positional Arguments
* `phase_dynamics`: Definition of the phase space dynamics in the
inplace `(t, u, du)` format (as in `ODEProblem`).
* `u0`: Initial state for the phase space dynamics.
* `t_chunk`: Length of numerical integration between orthonormalization.
* `num_tran`: Number of iterations to through away to get rid of the
transient dynamics.
* `num_attr`: Number of orthonormalization steps for Lyapunov exponent
calculation (which is presumably done inside an attractor).
### Keyword Arguments
* `dim_lyap`: Number of Lyapunov exponents to be calculated.
Default to the full system dimension.
* `Q0`: The initial guess of the Gram-Schmidt "Lyapunov vectors".
Default to the identity matrix.
"""
function lyapunov_exponents(
phase_dynamics,
u0,
t_chunk,
num_tran,
num_attr;
dim_lyap=length(u0),
Q0=eye(length(u0), dim_lyap))
# ODEProblem for dynamics in phase space
pprob = ODEProblem(phase_dynamics, u0, (0.0, t_chunk))
psol = solve(pprob)
@showprogress 1 "Transient dynamics..." for _ in 2:num_tran
psol = keepgoing!(psol)
end
# ODEProblem for dynamics in phase & tangent spaces
pt0 = similar(u0, (length(u0), dim_lyap + 1))
pt0[:, 1] = psol(psol.prob.tspan[end]) # phase space initial condition
pt0[:, 2:end] = Q0 # tangent space ...
ptparam = PhaseTangentParam(phase_dynamics, u0)
tprob = ODEProblem(
ParameterizedFunction(tangent_dynamics, ptparam),
pt0,
(0.0, t_chunk),
)
# H2 method in Geist, Parlitz, Lauterborn (1990)
lyap = similar(u0, dim_lyap)
lehist = similar(u0, (dim_lyap, num_attr))
signR = Array(Bool, dim_lyap)
local tsol
xt = tprob.u0[:, 1]
Q = tprob.u0[:, 2:end]
@showprogress 1 "Computing Lyapunov exponents..." for n in 1:num_attr
tprob.u0[:, 1] = xt
tprob.u0[:, 2:end] = Q
tsol = solve(tprob)
uend = tsol(tsol.prob.tspan[end])
xt = uend[:, 1]
P = uend[:, 2:end]
F = qrfact!(P)
Q = F[:Q][:, 1:dim_lyap]
R = F[:R]
sign_diag!(signR, R) # signR = diagm(sign(diag(R)))
A_mul_sign!(Q, signR) # Q = Q * signR
sign_mul_A!(signR, R) # R = signR * R
lyap_add_R!(n, lyap, R)
lehist[:, n] = lyap
end
lehist /= t_chunk
LyapunovExponentsResult(
psol,
tsol,
lehist,
)
end
""" Plot `LyapunovExponentsResult` via `RecipesBase`."""
@recipe function f(res::LyapunovExponentsResult;
known=nothing)
dim_lyap = size(res.values)[1]
layout --> (dim_lyap, 1)
xscale --> :log10
ylims = [[minimum(res.values[i, :]),
maximum(res.values[i, :])]
for i = 1:dim_lyap]
if known != nothing
for i = 1:dim_lyap
ylims[i][1] = min(ylims[i][1], known[i])
ylims[i][2] = max(ylims[i][2], known[i])
end
end
for i = 1:dim_lyap
ymin, ymax = ylims[i]
dy = ymax - ymin
ylims[i] = [ymin - dy * 0.05,
ymax + dy * 0.05]
end
for i in 1:dim_lyap
@series begin
subplot := i
label --> ""
ylabel := "LE$i"
ylim --> ylims[i]
res.values[i, :]
end
if known != nothing
@series begin
subplot := i
linetype := :hline
label --> ""
# repeating ylabel/ylim; otherwise they are ignored
ylabel := "LE$i"
ylim --> ylims[i]
[known[i]]
end
end
end
end
""" Some example dynamical systems and their known Lyapunov exponents. """
module Examples
"""
Lorenz system.
* https://en.wikipedia.org/wiki/Lorenz_system
* http://sprott.physics.wisc.edu/chaos/comchaos.htm
* E. N. Lorenz, J. Atmos. Sci. 20, 130-141 (1963)
"""
function lorenz(t, u, du)
du[1] = 10.0(u[2]-u[1])
du[2] = u[1]*(28.0-u[3]) - u[2]
du[3] = u[1]*u[2] - (8/3)*u[3]
end
lorenz_les_known = [0.9056, 0, -14.5723]
"""
Simplest piecewise linear dissipative chaotic flow.
* http://sprott.physics.wisc.edu/chaos/comchaos.htm
* S. J. Linz and J. C. Sprott, Phys. Lett. A 259, 240-245 (1999)
"""
function piecewise_linear(t, u, du)
du[1] = u[2]
du[2] = u[3]
du[3] = -0.6 * u[3] - u[2] - (u[1] > 0 ? u[1] : -u[1]) + 1
end
piecewise_linear_les_known = [0.0362, 0, -0.6362]
end
end
@finmod
Copy link

finmod commented May 10, 2017

Very nice notebook on the use of DifferentialEquations and ForwardDiff. I have a slight syntax problem with the two:

plot(sol, vars=(1,2,3), linewidth=0.5, label="")

Must be simple but Plots is constantly under revision. I get this error:

MethodError: Cannot convert an object of type Tuple{Float64} to an object of type Tuple{}
This may have arisen from a call to the constructor Tuple{}(...),
since type constructors fall back to convert methods.

in macro expansion at .\broadcast.jl:129 [inlined]
in macro expansion at .\simdloop.jl:73 [inlined]
in macro expansion at .\broadcast.jl:123 [inlined]
in _broadcast!(::DiffEqBase.##71#72, ::Array{Tuple{Float64,Float64},1}, ::Tuple{Tuple{Bool},Tuple{Bool},Tuple{Bool}}, ::Tuple{Tuple{Int64},Tuple{Int64},Tuple{Int64}}, ::Tuple{Array{Float64,1},Array{Float64,1},Array{Float64,1}}, ::Type{Val{3}}) at .\broadcast.jl:117
in broadcast!(::Function, ::Array{Tuple{Float64,Float64},1}, ::Array{Float64,1}, ::Array{Float64,1}, ::Array{Float64,1}) at .\broadcast.jl:172
in broadcast_t(::Function, ::Type{T}, ::Array{Float64,1}, ::Vararg{Array{Float64,1},N}) at .\broadcast.jl:228
in broadcast(::Function, ::Array{Float64,1}, ::Array{Float64,1}, ::Array{Float64,1}, ::Vararg{Array{Float64,1},N}) at .\broadcast.jl:230
in solplot_vecs_and_labels(::Int64, ::Array{Tuple{DiffEqBase.##71#72,Int64,Int64,Int64},1}, ::Array{Array{Float64,1},1}, ::Array{Float64,1}, ::DiffEqBase.ODESolution{Float64,2,Array{Array{Float64,1},1},Void,Void,Array{Float64,1},Array{Array{Array{Float64,1},1},1},DiffEqBase.ODEProblem{Array{Float64,1},Float64,true,#lorenz,Void,UniformScaling{Int64}},OrdinaryDiffEq.Tsit5,OrdinaryDiffEq.InterpolationData{#lorenz,Array{Array{Float64,1},1},Array{Float64,1},Array{Array{Array{Float64,1},1},1},OrdinaryDiffEq.Tsit5Cache{Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},OrdinaryDiffEq.Tsit5ConstantCache{Float64,Float64}}}}, ::Bool, ::Void) at C:\Users\Denis.julia\v0.5\DiffEqBase\src\solutions\solution_interface.jl:300
in macro expansion at C:\Users\Denis.julia\v0.5\DiffEqBase\src\solutions\solution_interface.jl:94 [inlined]
in apply_recipe(::Dict{Symbol,Any}, ::DiffEqBase.ODESolution{Float64,2,Array{Array{Float64,1},1},Void,Void,Array{Float64,1},Array{Array{Array{Float64,1},1},1},DiffEqBase.ODEProblem{Array{Float64,1},Float64,true,#lorenz,Void,UniformScaling{Int64}},OrdinaryDiffEq.Tsit5,OrdinaryDiffEq.InterpolationData{#lorenz,Array{Array{Float64,1},1},Array{Float64,1},Array{Array{Array{Float64,1},1},1},OrdinaryDiffEq.Tsit5Cache{Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},OrdinaryDiffEq.Tsit5ConstantCache{Float64,Float64}}}}) at C:\Users\Denis.julia\v0.5\RecipesBase\src\RecipesBase.jl:238
in _process_userrecipes(::Plots.Plot{Plots.PyPlotBackend}, ::Dict{Symbol,Any}, ::Tuple{DiffEqBase.ODESolution{Float64,2,Array{Array{Float64,1},1},Void,Void,Array{Float64,1},Array{Array{Array{Float64,1},1},1},DiffEqBase.ODEProblem{Array{Float64,1},Float64,true,#lorenz,Void,UniformScaling{Int64}},OrdinaryDiffEq.Tsit5,OrdinaryDiffEq.InterpolationData{#lorenz,Array{Array{Float64,1},1},Array{Float64,1},Array{Array{Array{Float64,1},1},1},OrdinaryDiffEq.Tsit5Cache{Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},OrdinaryDiffEq.Tsit5ConstantCache{Float64,Float64}}}}}) at C:\Users\Denis.julia\v0.5\Plots\src\pipeline.jl:73
in _plot!(::Plots.Plot{Plots.PyPlotBackend}, ::Dict{Symbol,Any}, ::Tuple{DiffEqBase.ODESolution{Float64,2,Array{Array{Float64,1},1},Void,Void,Array{Float64,1},Array{Array{Array{Float64,1},1},1},DiffEqBase.ODEProblem{Array{Float64,1},Float64,true,#lorenz,Void,UniformScaling{Int64}},OrdinaryDiffEq.Tsit5,OrdinaryDiffEq.InterpolationData{#lorenz,Array{Array{Float64,1},1},Array{Float64,1},Array{Array{Array{Float64,1},1},1},OrdinaryDiffEq.Tsit5Cache{Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},OrdinaryDiffEq.Tsit5ConstantCache{Float64,Float64}}}}}) at C:\Users\Denis.julia\v0.5\Plots\src\plot.jl:171
in (::Plots.#kw##plot)(::Array{Any,1}, ::Plots.#plot, ::DiffEqBase.ODESolution{Float64,2,Array{Array{Float64,1},1},Void,Void,Array{Float64,1},Array{Array{Array{Float64,1},1},1},DiffEqBase.ODEProblem{Array{Float64,1},Float64,true,#lorenz,Void,UniformScaling{Int64}},OrdinaryDiffEq.Tsit5,OrdinaryDiffEq.InterpolationData{#lorenz,Array{Array{Float64,1},1},Array{Float64,1},Array{Array{Array{Float64,1},1},1},OrdinaryDiffEq.Tsit5Cache{Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},OrdinaryDiffEq.Tsit5ConstantCache{Float64,Float64}}}}) at .<missing>:0

@tkf
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tkf commented May 28, 2017

Hey, thanks for the interest. I just noticed your comment.

Hmm... I have no idea. As you said, it's possible that the version of the packages I used could be old by now. FYI, I was using Julia 0.5 and Plots 0.10.3.

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