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## This example comes from https://diffeqflux.sciml.ai/dev/Flux/ | |
using ComponentArrays | |
using OrdinaryDiffEq | |
using Plots | |
using UnPack | |
using DiffEqFlux: sciml_train | |
using Flux: glorot_uniform, ADAM, σ, relu | |
using Optim: LBFGS |
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using DifferentialEquations | |
using ModelingToolkit | |
# Time and time derivative | |
@parameters t | |
D = Differential(t) | |
# Forced Duffing oscillator | |
function Duffing(; name) | |
@parameters α β |
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using ComponentArrays, DifferentialEquations, Plots, UnPack | |
## Functions | |
function lotka!(D, x, p, t) | |
@unpack NB, NR = x | |
@unpack ϵ₁, ϵ₂, γ₁, γ₂ = p | |
D.NB = ϵ₁*NB - γ₁*NR*NB | |
D.NR = -ϵ₂*NR + γ₂*NR*NB |
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### A Pluto.jl notebook ### | |
# v0.16.1 | |
using Markdown | |
using InteractiveUtils | |
# ╔═╡ b2663d22-8605-11eb-17fa-e90e625ac922 | |
using ComponentArrays | |
# ╔═╡ 932b2cb6-8609-11eb-27d7-a393d81f6d8a |
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### A Pluto.jl notebook ### | |
# v0.16.4 | |
using Markdown | |
using InteractiveUtils | |
# ╔═╡ 15da0afe-3e5b-11ec-031f-d9903463dce1 | |
begin | |
using ControlSystems | |
using IntervalArithmetic |
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function deep_access(sol, names...) | |
return map(sol.u) do u | |
reduce(Base.maybeview, names; init=u) | |
end | |
end |