initial commit with 2024 materials

testing_project/solution/logistic.py

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+import numpy as np
+
+
+def f(x, r):
+    """ Compute the logistic map for a given value of x and r. """
+    return r * x * (1 - x)
+
+
+def iterate_f(it, x0, r):
+    """ Generate a population trajectory.
+
+    Takes a number of iterations `it`, a starting value, x0,
+    and a parameter value for r. It executes f repeatedly (it times),
+    each time using the last result of f as the new input to f. Append each
+    iteration's result to a list l. Finally, convert the list into a numpy
+    array and return it.
+    """
+    x = x0
+    xs = [x0]
+    for _ in range(it):
+        x = f(x, r)
+        xs.append(x)
+
+    return np.array(xs)