This program can be used to plot 1-D non-linear dynamics equation with stable and unstable points being displayed on the graph
To run the script open the terminal where the script is and enter
python ./1d_nld.pyThe script will run and following will be displayed:
x1: -10 // the lower limit of x
x2: 10 // the upper limit of x
x_dot: np.sin(x)/x // make sure to give the function in numpy formatx_dot = f(x) = exp(x)*sin(x)*x^2 + 5 // normal mathematical format
x_dot: np.exp(x)*np.sin(x)*(x**2) + 5 // equivalent numpy format, acceptable by sscript| Mathematical expression | Numpy equivalent |
|---|---|
| sin(x) | np.sin(x) |
| cos(x) | np.cos(x) |
| tan(x) | np.tan(x) |
| cosin(x) | np.arcsin(x) |
| sec(x) | np.arccos(x) |
| cot(x) | np.arctan(x) |
| sinh(x) | np.sinh(x) |
| cosh(x) | np.cosh(x) |
| tanh(x) | np.tanh(x) |
| e^x | np.exp(x) |
| ln(x) | np.log(x) |
For further details head to numpy docs
