codeblock-bug-test.html

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## ODEs scripting language feature

Example for solving a dynamics system using VisualBasic ODEs scripting language feature, demo created for the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system):

```vbnet
Dim x, y, z As var
Dim sigma# = 10
Dim rho# = 28
Dim beta# = 8 / 3
Dim t = (a:=0, b:=120, dt:=0.005)

Call Let$(list:=Function() {x = 1, y = 1, z = 1})
Call {
    x = Function() sigma * (y - x),
    y = Function() x * (rho - z) - y,
    z = Function() x * y - beta * z
}.Solve(dt:=t) _
 .DataFrame _
 .Save($"{App.HOME}/Lorenz_system.csv")
```

![](./Data_science/Mathematica/data/Lorenz_system/Lorenz_system.png)
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