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18 changes: 9 additions & 9 deletions lib/ODEProblemLibrary/src/strange_attractors.jl
Original file line number Diff line number Diff line change
Expand Up @@ -12,6 +12,7 @@ function thomas_eqs(du, u, p, t)
return du[3] = sin(x) - b * z
end

thomas = ODEFunction(thomas_eqs)
@doc doc"""
Thomas' cyclically symmetric attractor equations

Expand All @@ -29,7 +30,6 @@ with parameter ``b = 0.208186`` and initial conditions ``x(0)=1, y(0)=0, z(0)=0`

[Wikipedia](https://en.wikipedia.org/wiki/Thomas%27_cyclically_symmetric_attractor)
"""
thomas = ODEFunction(thomas_eqs)
prob_ode_thomas = ODEProblem(thomas, [1.0, 0.0, 0.0], (0.0, 1.0), [0.208186])

## Lorenz
Expand All @@ -42,6 +42,7 @@ function lorenz_eqs(du, u, p, t)
return du[3] = x * y - β * z
end

lorenz = ODEFunction(lorenz_eqs)
@doc doc"""
Lorenz equations

Expand All @@ -59,7 +60,6 @@ with parameters ``σ=10, ρ=28, β=8/3`` and initial conditions ``x(0)=1, y(0)=0

[Wikipedia](https://en.wikipedia.org/wiki/Lorenz_system)
"""
lorenz = ODEFunction(lorenz_eqs)
prob_ode_lorenz = ODEProblem(lorenz, [1.0, 0.0, 0.0], (0.0, 1.0), [10.0, 28.0, 8 / 3])

## Aizawa
Expand All @@ -72,6 +72,7 @@ function aizawa_eqs(du, u, p, t)
return du[3] = c + a * z - z^3 / 3 - (x^2 + y^2) * (1 + e * z) + f * z * x^3
end

aizawa = ODEFunction(aizawa_eqs)
@doc doc"""
Aizawa equations

Expand All @@ -87,7 +88,6 @@ with parameters ``a=0.95, b=0.7, c=0.6, d=3.5, e=0.25, f=0.1`` and initial condi

[Reference](https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml)
"""
aizawa = ODEFunction(aizawa_eqs)
prob_ode_aizawa = ODEProblem(aizawa, [1.0, 0.0, 0.0], (0.0, 1.0), [0.95, 0.7, 0.6, 3.5, 0.25, 0.1])

## Dadras
Expand All @@ -100,6 +100,7 @@ function dadras_eqs(du, u, p, t)
return du[3] = d * x * y - e * z
end

dadras = ODEFunction(dadras_eqs)
@doc doc"""
Dadras equations

Expand All @@ -115,7 +116,6 @@ with parameters ``a=3, b=2.7, c=1.7, d=2, e=9`` and initial conditions ``x(0)=1,

[Reference](https://www.sciencedirect.com/science/article/abs/pii/S0375960109009591)
"""
dadras = ODEFunction(dadras_eqs)
prob_ode_dadras = ODEProblem(dadras, [1.0, 0.0, 0.0], (0.0, 1.0), [3.0, 2.7, 1.7, 2.0, 9.0])

## Chen
Expand All @@ -128,6 +128,7 @@ function chen_eqs(du, u, p, t)
return du[3] = x * y - b * z
end

chen = ODEFunction(chen_eqs)
@doc doc"""
Chen equations

Expand All @@ -143,7 +144,6 @@ with parameters ``a=35, b=3, c=28`` and initial conditions ``x(0)=1, y(0)=0, z(0

[Reference](https://www.worldscientific.com/doi/abs/10.1142/S0218127499001024)
"""
chen = ODEFunction(chen_eqs)
prob_ode_chen = ODEProblem(chen, [1.0, 0.0, 0.0], (0.0, 1.0), [35.0, 3.0, 28.0])

## Rössler
Expand All @@ -156,6 +156,7 @@ function rossler_eqs(du, u, p, t)
return du[3] = b + z * (x - c)
end

rossler = ODEFunction(rossler_eqs)
@doc doc"""
Rössler equations

Expand All @@ -172,7 +173,6 @@ with parameters ``a=0.2, b=0.2, c=5.7`` and initial conditions ``x(0)=1, y(0)=0,
[Reference](https://www.sciencedirect.com/science/article/abs/pii/0375960176901018)
[Wikipedia](https://en.wikipedia.org/wiki/R%C3%B6ssler_attractor)
"""
rossler = ODEFunction(rossler_eqs)
prob_ode_rossler = ODEProblem(rossler, [1.0, 0.0, 0.0], (0.0, 1.0), [0.2, 0.2, 5.7])

## Rabinovich-Fabrikant
Expand All @@ -185,6 +185,7 @@ function rabinovich_fabrikant_eqs(du, u, p, t)
return du[3] = -2 * z * (a + x * y)
end

rabinovich_fabrikant = ODEFunction(rabinovich_fabrikant_eqs)
@doc doc"""
Rabinovich-Fabrikant equations

Expand All @@ -200,7 +201,6 @@ with parameters ``a=0.14, b=0.10`` and initial conditions ``x(0)=1, y(0)=0, z(0)

[Reference](https://en.wikipedia.org/wiki/Rabinovich%E2%80%93Fabrikant_equations)
"""
rabinovich_fabrikant = ODEFunction(rabinovich_fabrikant_eqs)
prob_ode_rabinovich_fabrikant = ODEProblem(rabinovich_fabrikant, [1.0, 0.0, 0.0], (0.0, 1.0), [0.14, 0.1])

## Sprott
Expand All @@ -213,6 +213,7 @@ function sprott_eqs(du, u, p, t)
return du[3] = x - x^2 - y^2
end

sprott = ODEFunction(sprott_eqs)
@doc doc"""
Sprott equations

Expand All @@ -228,7 +229,6 @@ with parameters ``a=2.07, b=1.79`` and initial conditions ``x(0)=1, y(0)=0, z(0)

[Reference](https://sprott.physics.wisc.edu/pubs/paper423.pdf)
"""
sprott = ODEFunction(sprott_eqs)
prob_ode_sprott = ODEProblem(sprott, [1.0, 0.0, 0.0], (0.0, 1.0), [2.07, 1.79])

## Hindmarsh-Rose
Expand All @@ -241,6 +241,7 @@ function hindmarsh_rose_eqs(du, u, p, t)
return du[3] = r * (s * (x - xr) - z)
end

hindmarsh_rose = ODEFunction(hindmarsh_rose_eqs)
@doc doc"""
Hindmarsh-Rose equations

Expand All @@ -256,5 +257,4 @@ with parameters ``a=1, b=3, c=1, d=5, r=10^{-2}, s=4, x_r=-8/5, i=5`` and initia

[Reference](https://en.wikipedia.org/wiki/Hindmarsh%E2%80%93Rose_model)
"""
hindmarsh_rose = ODEFunction(hindmarsh_rose_eqs)
prob_ode_hindmarsh_rose = ODEProblem(hindmarsh_rose, [1.0, 0.0, 0.0], (0.0, 1.0), [1.0, 3.0, 1.0, 5.0, 1.0e-2, 4.0, -8 / 5, 5.0])
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