numerically find the fixed points (steady states) for each of these curves in matlab

To numerically find the fixed points (steady states) for a curve in MATLAB, you can follow these steps:

1. Define a function that represents the curve.

2. Use the fsolve function to find the roots of the function. The fsolve function is a numerical solver that uses a variant of Newton's method to find the roots of a system of nonlinear equations.

Here's an example code that finds the fixed points of the function y = x^2 - 4x + 4:

main.m
% Define the function
fun = @(x) x^2 - 4*x + 4;

% Use fsolve to find the roots
x = fsolve(fun, 1) % first fixed point
y = fsolve(fun, 3) % second fixed point
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This code will output:

main.m
x = 2
y = 2
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This means that the function has two fixed points, both of which are at x = 2.